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CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf ·...
Transcript of CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf ·...
![Page 1: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/1.jpg)
PHYSICS
CET-2013
MODEL QUESTIONS
TOPICS
1. MOTION IN TWO DIMENSIONS
2. ROTATIONAL MOTION
3. WORK,POWER,ENERGY AND COLLISION
4. GRAVITATION
![Page 2: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/2.jpg)
MOTION IN TWO DIMENSION
PHYSICS
![Page 3: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/3.jpg)
PHYSICS
POSITION,VELOCITY AND ACCELERATION
jaiajdt
dvi
dt
dv
dt
tvdta
jvivjdt
tdyi
dt
tdx
dt
trdtv
jtyitxtr
yx
yx
yx
![Page 4: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/4.jpg)
PHYSICS
EXAMPLE
CONSIDER A BODY DESCRIBING TWO DIMENSIONAL MOTION GIVEN BY
WHERE X AND Y ARE IN m. AND TIME t IN SECOND. THE VELOCITY AND ACCELERATION ARE GIVEN BY
2t4tyandt2tx
2
yx
1
y
1
x ms8aand0a;mst8vandms2v
![Page 5: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/5.jpg)
PHYSICS
PROJECTILE MOTION
gaand0a
gtsinvvandttanconscosvv
gt2
1tsinvyyandtcosvxx
yx
00y00x
2
000000
![Page 6: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/6.jpg)
PHYSICS
IN PARTICULAR, IF (X0, Y0)=(0,0). THEN EQN. OF TRAJECTORY, TIME OF FLIGHT, MAX. HEIGHT AND RANGE ARE GIVEN BY
0
22
0
0
2
cosv2
gbandtanawherebxaxy
g
2sinvR
g2
sinvH
g
sinv2T
0
2
0
0
22
0
00
![Page 7: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/7.jpg)
PHYSICS
UNIFORM CIRCULAR MOTION
mvrmr
vmF
vrr
va
22
22
![Page 8: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/8.jpg)
PHYSICS
ROTATIONAL MOTION
![Page 9: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/9.jpg)
PHYSICS
LINEAR MOTION ROTATIONAL MOTION
![Page 10: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/10.jpg)
PHYSICS
MOMENT OF INERTIA
M
mr
M
Ik;MkmrI
2
222
BODY AXIS ‘k’
Ring Passing through C.G. and perpendicular to
the plane of the ring R
Circular
Disc
Passing through C.G. and perpendicular to
the plane of the disc
Solid
cylinder
Passing through C.G. and parallel to the
length
hollow
cylinder
Passing through C.G. and perpendicular to
the length R
Solid
sphere Passing through C.G. (centre)
Hollow
sphere Passing through C.G. (centre)
R
2
R
2
2R
5
2R
3
![Page 11: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/11.jpg)
PHYSICS
CONSERVATION OF ANGULAR MOMENTUM
In the absence of external torque the total angular momentum of the system remains constant. i.e.,
L=Iω=constant
![Page 12: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/12.jpg)
PHYSICS
GRAVITATION
1 2
2
2
2
m mF G
r
GMg
R
GM 2hg g 1 if h R
RR h
hg g 1
R
![Page 13: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/13.jpg)
PHYSICS
GRAVITATION
GMm GMm
Vr R h
o
1
e
GMv gR if h R
r
v 2gR 11.2km s for earth
![Page 14: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/14.jpg)
PHYSICS
1. A particle is initially moving eastward with a velocity of 10ms-1. In 10s, it’s velocity changes to 10ms-1 northwards. the average acceleration of the particle in this time interval is
1
1 1
1 zero 2 1ms towards north
3 2ms towards north west 4. 2ms towards north east
![Page 15: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/15.jpg)
PHYSICS
SOLUTION
i f
f i
2 2 2
ˆ ˆ ˆ ˆeast i,west i north j south j
ˆ ˆV 10i; V 10j
ˆ ˆ10j 10iV V ˆ ˆa j it 10
a 1 1 2ms towards north west
![Page 16: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/16.jpg)
PHYSICS
2. A small body is projected from the origin of a coordinate system at an angle of projection 600 . The ratio of horizontal range to maximum height is
4 3 1
1 3 2 4 3 3 43 3
![Page 17: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/17.jpg)
PHYSICS
SOLUTION
Option – 3)
2 2 2
2 2
u sin2 u sinR ; H
g 2g
R sin2 2sin cos cos 1 2 4 32 2 4 4
H sin sin sin 33 2
![Page 18: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/18.jpg)
PHYSICS
3) A bullet is fired from the origin of a coordinate system at an angle of projection 300 . The height of the bullet after 20s is same as that at time10s. The velocity of the projection is
(take g=10ms-2)
1) 200ms-1 3) 300ms-1
2) 400ms-1 4)600ms-1
![Page 19: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/19.jpg)
PHYSICS
If t1 and t2 are the time corresponding to the same vertical displacement then the time of flight
T=t1+t2 =10+20=30s
![Page 20: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/20.jpg)
PHYSICS
SOLUTION
1
2usinT
g
gTu
2sin
10 30300ms
2 sin 30
![Page 21: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/21.jpg)
PHYSICS
4) A PARTICLE IS PROJECTED AT 60 TO THE HORIZONTAL WITH KE ‘K’. THE KE AT THE HIGHEST POINT IS
1) K
2) ZERO
3) K / 2
4) K / 4
![Page 22: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/22.jpg)
PHYSICS
SOLUTION
OPTION-4)
2
origin
22
peak
1KE mu K
2
1 1 u KKE m ucos60 m
2 2 2 4
![Page 23: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/23.jpg)
PHYSICS
5) A body is tied to a string of length 1m. and whirled in a vertical circle with a constant velocity 5ms-1. The ratio of maximum to minimum tension in the string is
( take g=10ms-2)
1) 7:3 2) 2:1 3) 3:1 4) 5:4
![Page 24: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/24.jpg)
PHYSICS
SOLUTION
AT THE LOWEST POINT THE DOWNWARD FORCE DUE TO WEIGHT AND THE CENTRIFUGAL FORCE ACTS ALONG THE SAME DIRECTION SO THAT THE TENSION IS MAXIMUM. AT THE HIGHEST POINT, DOWNWARD FORCE DUE TO WEIGHT AND THE CENTRIFUGAL FORCE ACTS ALONG THE OPPOSITE DIRECTIONS SO THAT TENSION IS MINIMUM.
![Page 25: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/25.jpg)
PHYSICS
SOLUTION 2
max
2
min
mvT mg
g
mvT mg
g
2 2
max
2 2
min
mv vmg g
T 25 10 7g g
mv vT 25 10 3mg g
g g
option 1
![Page 26: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/26.jpg)
PHYSICS
6) A CIRCULAR RING AND A CIRCULA DISC BOTH ARE OF SAME MASS AND RADIUS ROTATING BOUT THE AXES PASSING THROUGH THEIR C.G. PERPENDICULAR TO THE PLANE WITH SAME ANGULAR VELOCITY. THEN
1) BOTH HAVE SAME ANGULAR MOMENTUM
2) RING HAS GREATER ANGULAR MOMENTUM THAN THE DISC
3) DISC HAS GREATER ANGULAR MOMENTUM THAN THE RING
4) BOTH HAVE SAME KINETIC ENERGY
![Page 27: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/27.jpg)
PHYSICS
7) A SOLID SPHERE OF RADIUS 0.1m
AND MASS 5kg IS SPINNING ABOUT
THE AXIS PASSING THROUGH IT’S
CENTRE WITH AN ANGULAR VELOCITY
100RAD/SEC. THE MINIMUM CONSTANT
TANGENTIAL FORCE REQUIRED TO
STOP THE SPINNING IN 10SEC IS
1) 10N 2)5N 3)1N 4)2N
![Page 28: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/28.jpg)
PHYSICS
SOLUTION
OPTION-4)
i f
2i f
2 2
torque I It
torque due tangential force F F R
100 0F R I Mk
t 10
2for sphere k R . Substituting
5
and simplifying we get F 2N
![Page 29: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/29.jpg)
PHYSICS
8) A CIRCULAR DISC OF MASS M AND RADIUS R IS ROTATING WITH ANGULAR VELOCITY ω ABOUT THE AXIS PASSING THROUGH THE CENTRE AND PERPENDICULAR TO THE PLANE. A SMALL BODY OF MASS m IS GENTLY PLACED AT THE RIM OF THE DISC. THE ANGULAR VELOCITY CHANGES TO
1) M ω /(M+m) 3) M ω /(M+2m)
2) m ω /(M+m) 4) mω /(M+2m)
![Page 30: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/30.jpg)
PHYSICS
SOLUTION
OPTION-3)
2 22
I I
MR MRmR
2 2
M
M 2m
![Page 31: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/31.jpg)
PHYSICS
9) A BODY OF MASS ‘M’ IS SUSPENDED BY AN INEXTENSIBLE STRING OF LENGTH 5m. IF THE BODY IS PULLED ASIDE THROUGH AN ANGLE 600 WITH THE VERTICAL AND THEN RELEASED, THE VELOCITY OF THE BODY AT THE TIME IT CROSSES THE MEAN POSITION IS (g=9.8ms-2)
1) 1ms-1 2)0.7ms-1 3) 1.28ms-1 4) 7ms-1
![Page 32: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/32.jpg)
PHYSICS
SOLUTION
Option-4)
2
1
Increase in KE decrease in PE
1mv mgl 1 cos2
1v 2gl 1 cos 2 9.8 5 1 7ms
2
![Page 33: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/33.jpg)
PHYSICS
10) A bullet fired into a fixed target loses half of its velocity after penetrating 3 cm. How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?
(1) 3.0 cm (2) 2.0 cm
(3) 1.5 cm (4) 1.0 cm
![Page 34: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/34.jpg)
PHYSICS
SOLUTION
OPTION-4)
2
2
initial
initial
initial
initial
work done decrease in KE
1 1 u 3F S mu m KE
2 2 2 4
F S X KE
KEF S X 4X 1cm
3F S 3KE
4
![Page 35: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/35.jpg)
PHYSICS
11)IDENTICAL BRICKS EACH OF MASS 5kg AND THICKNESS 0.2m LYING ON A HORIZONTAL FLOOR. AMOUNT OF WORK DONE IN PLACING THEM ONE ABOVE THE OTHER IS
1) 441 J 2) 980 J 3) 196 J 4) 490 J
![Page 36: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/36.jpg)
PHYSICS
SOLUTION
OPTION-1)
initial
final
final initial
hPE 10mg 49J
2
HPE 10mg 490J H 10h
2
work done PE PE 441J
![Page 37: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/37.jpg)
PHYSICS
12) A body of mass M kg is suspended by a weightless string. The horizontal force that is required to displace it until the string make an angle of 450 with the initial vertical direction is
1 Mg 2 1 3 Mg 2
2 Mg 2 1 4 Mg 2
![Page 38: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/38.jpg)
PHYSICS
SOLUTION
OPTION-1)
work done increase in PE
Flsin Mgl 1 cos
Mg 1 cosF Mg 2 1
sin
![Page 39: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/39.jpg)
PHYSICS
13) During an inelastic collision
1) Both linear momentum and kinetic energy are conserved
2) Linear momentum is not conserved but kinetic energy is conserved
3) Neither linear momentum nor kinetic energy are conserved
4) Linear momentum is conserved but kinetic energy is not conserved
Option-4)
![Page 40: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/40.jpg)
PHYSICS
14) A body of mass 16kg is initially at rest explodes into fragments of masses 4kg and 12kg. The larger fragment moves with a KE 27J. The KE of the smaller fragment is
1) 9J 2) 81J 3) 3J 4) 243J
![Page 41: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/41.jpg)
PHYSICS
SOLUTION
OPTION-2)
1 1 2 2 1 2 1 2
2 2
small 1 1 large 2 2
2
3small 1 1
large 2 2
small large
m v m v 4v 12v v 3v
1 1KE m v KE m v
2 2
KE m v 13 3
KE m v 3
KE 3 KE 3 27 81J
![Page 42: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/42.jpg)
PHYSICS
15) Out of the following pair, which one does NOT have identical dimensions
(1) angular momentum and Planck’s constant
(2) impulse and momentum
(3) moment of inertia and moment of a force
(4) work and torque
OPTION-3)
![Page 43: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/43.jpg)
PHYSICS
16) A planet in a distant solar system is 10times more massive than the earth and it’s radius is 10times smaller than earth. If ve is the escape velocity of earth then the escape velocity v’
e of the planet is
1) 0.1ve
2) ve
3) 10ve
4) 100ve
![Page 44: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/44.jpg)
PHYSICS
SOLUTION
OPTION-3)
e
e
GMv
R
G 10R GM10 10v
R 10 R
![Page 45: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/45.jpg)
PHYSICS
17) A bullet of mass 0.05kg moving at 100ms-1 strikes a block of wood of mass 1.2kg which is suspended by weightless string. If the bullet after striking the block gets embedded inside the block, then to what height the block will rise before it starts falling? (take g=10ms-2 )
1) 1m 2) 0.8m 3) 1.6m 4) 2m
![Page 46: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/46.jpg)
PHYSICS
SOLUTION
OPTION-2)
1 1 1 2
11
1
1 2
2
1 2 1 2
2
m u 0 m m v
m 0.05v u 100 4ms
m m 1.25
1m m v m m gh
2
vh 0.8m
2g
![Page 47: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/47.jpg)
PHYSICS
18) DURING THE REVOLUTION OF A PLANET AROUND THE SUN
1) ONLY THE LINEAR MOMENTUM IS CONSERVED
2) ONLY THE ANGULAR MOMENTUM IS CONSERVED
3) BOTH LINEAR MOMENTUM AND ANGULAR MOMENTUM ARE CONSERVED
4) NEITHER LINEAR MOMENTUM NOR ANGULAR MOMENTUM ARE CONSERVED
![Page 48: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/48.jpg)
PHYSICS
19) The change in the value of g at height h above the surface of earth is the same as at a depth d below the surface of earth. When both h and d are much smaller compared to the radius of earth, then which one among the following is correct?
d=h / 2 2) d=3h / 2 3) d=2h 4) d=h
![Page 49: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/49.jpg)
PHYSICS
SOLUTION
OPTION-3)
height
depth
height depth
2hg g 1
R
dg g 1
R
2h dg g 1 1 d 2h
R R
![Page 50: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/50.jpg)
PHYSICS
20) A satellite is put into the orbit at a height h very small compared to radius of the earth. If satellite is released with a tangential velocity ve / 2 then which one among the following statement is correct?
1) Satellite will fall to earth describing a parabolic trajectory.
2) Satellite escape from earth describing a parabolic trajectory.
3) Satellite will describe circular trajectory around earth.
4) Satellite will describe an elliptical trajectory
around earth.
![Page 51: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/51.jpg)
PHYSICS
SOLUTION
e
0
e
0
e
e 0
orbital velocty of a satelite in circular orbit
vGMv gR if h R
R h 2
vif v fall to earth
2
vif v v elliptical path
2
![Page 52: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/52.jpg)
PHYSICS
ORBITS OF A SATELLITE
![Page 53: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/53.jpg)
PHYSICS
21) TWO BODIES OF MASSES M AND 4M ARE SEPARATED BY A DISTANCE R. THE DISTANCE OF THE POINT FROM THE SMALLER BODY OF MASS M AT WHICH THE NET GRAVITATIONAL FIELD IS ZERO IS
1) r / 2 2) 2r / 3 3) r / 3 4) r / 4
OPTION-3)
![Page 54: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/54.jpg)
PHYSICS
22) IF TWO PLANETS IN A SOLAR SYSTEM HAVE THEIR TIME PERIODS OF REVOLUTION IN THE RATIO 1:8, THEN THEIR MEAN DISTANCES FROM THE SUN ARE IN THE RATIO
1)1:2 2) 1:4 3) 1:8 4) 1:16
OPTION-2)
![Page 55: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/55.jpg)
PHYSICS
23) A BODY IS THROWN HORIZONTALLY WITH A VELOCITY OF 10M/S FROM THE TOP OF A BUILDING OF HEIGHT19.6M. THE HORIZONTAL DISTANCE FROM THE BUILDING WHERE THE BODY WILL HIT THE GROUND IS
1) 10m 2)15m 3)20m 4) 25m
OPTION-3)
![Page 56: CET-2013 MODEL QUESTIONS TOPICS - Karnatakakea.kar.nic.in/vikasana/physics_2013/phy_c13.pdf · CET-2013 MODEL QUESTIONS TOPICS 1. MOTION IN TWO DIMENSIONS 2. ROTATIONAL MOTION 3.](https://reader031.fdocuments.us/reader031/viewer/2022011814/5e483094577f4d05d945951e/html5/thumbnails/56.jpg)
PHYSICS
THANK YOU
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PHYSICS
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PHYSICS
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PHYSICS