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Law of family by author, Cheat Sheet of Family Law

This physics related qn for university students only

Typology: Cheat Sheet

2024/2025

Uploaded on 04/10/2025

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1. The ring of radius 1 and mass 15 is rotating
about its diameter with angular velocity of
25 rad/ Its kinetic energy is
(1) 2040
(2) 2343.75
(3) 1980
(4) 1680
2. If there is a change of angular momentum from
in , then the torque applied is
(1)
(2)
(3)
(4)
3. Four thin rods of same mass and same length ,
from a square as shown in figure. Moment of
inertia of this system about an axis through centre
and perpendicular to its plane is
(1)
(2)
(3)
(4)
4. Ratio of radius of gyration of a hollow sphere to
that of a solid cylinder of equal mass, for moment
of inertia about their diameter axis as shown
in figure is . The value of is
(1) 17
(2) 51
(3) 34
(4) 67
5. The moment of inertia of a uniform rod of length
and mass about an axis passing through
its centre and inclined at an angle is
(1)
(2)
(3)
(4)
6. Two masses each of mass are attached to the
end of a rigid massless rod of length . The
moment of inertia of the system about an axis
passing centre of mass and perpendicular to its
length is
(1)
(2)
(3)
(4)
mkg
sec
J
J
J
J
1
Jsto
4
Js
4
s
( )
J
5
4
( )
J
3
4
1
J
( )
J
4
3
Ml
O
ML
2
4
3
ML
2
3
ML
2
6
ML
2
2
3
AB
8
xx
2
lmxx
α
sin2
α
ml
2
3
sin2
α
ml
2
12
cos2
α
ml
2
6
cos2
α
ml
2
2
ML
ML
2
2
2
ML
2
ML
2
6
ML
2
VELAMMAL BODHI CAMPUS - LADANENDAL
NEET LT - TEST
SUB:PHYSICS
TOPIC - REPEATER
pf3
pf4
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  1. The ring of radius 1 and mass 15 is rotating about its diameter with angular velocity of 25 rad/ Its kinetic energy is (1) 2040 (2) 2343. (3) 1980 (4) 1680

  2. If there is a change of angular momentum from in , then the torque applied is

(1)

(2)

(3)

(4)

  1. Four thin rods of same mass and same length , from a square as shown in figure. Moment of inertia of this system about an axis through centre and perpendicular to its plane is
  1. Ratio of radius of gyration of a hollow sphere to that of a solid cylinder of equal mass, for moment of inertia about their diameter axis as shown in figure is. The value of is
  1. The moment of inertia of a uniform rod of length and mass about an axis passing through its centre and inclined at an angle is
  1. Two masses each of mass are attached to the end of a rigid massless rod of length. The moment of inertia of the system about an axis passing centre of mass and perpendicular to its length is

(1) (2)

(3) (4)

m kg

sec J J J J

1 Js to 4 Js 4 s

( 5 ) J 4

( ) J

1 J

( ) J

M l

O

4 ML 2

ML^2

ML^2

2 ML 2

AB

x

x

2 l m xxα

sin^2 α

ml^2 3 sin^2 α

ml^2 12 cos^2 α

ml^2 6 ml cos (^2) α 2 2 M L

ML^2

2 ML^2

ML^2

ML^2

VELAMMAL BODHI CAMPUS - LADANENDAL

NEET LT - TEST

SUB:PHYSICS TOPIC - REPEATER

  1. If the angular momentum of a rotating body about a fixed axis is increased by. Its kinetic energy will be increased by (1) (2) (3) (4)

  2. The angular acceleration of a body, moving along the circumference of a circle, is: (1) Along the radius towards the centre (2) Along the tangent to its position (3) Along the axis of rotation (4) Along the radius, away from centre

  3. A uniform thin bar of mass and length is bent to make a regular hexagon. Its moment of inertia about an axis passing through the centre of mass and perpendicular to the plane of hexagon is (1) (2) (3) (4)

  4. A circular platform free to rotate in a horizontal plane about a vertical axis passing through its centre. A tortoise is sitting at the edge of the platform. Now, the platform is given an angular velocity. When the tortoise moves along a chord of the platform with a constant velocity (w.r.t the platform), the angular velocity of the platform with time as ( 1 )

  1. A rigid body is rotating such that angular displacement at any instant is given by

Column I Column II A Angular velocity at P B Angular acceleration at^ Q

C Angular velocity between and R

D Angular acceleration between and S

(1) A - S, B - R, C - S, D - R (2) A - Q, B - R, C - S, D - P (3) A - R, B - P, C - R, D - Q (4) A - S, B - Q, C - P, D - P

  1. The ratio of the radius of gyration of a thin unifrom disc about an axis passing through its centre and normal to its plane to the radius of gyration of the disc about its diameter is (1) (2) (3) (4)
  2. A cube of side and mass is to be tilted at point by applying a force as shown in figure. The minimum force required is
  1. If a soap bubble expands, the pressure inside the bubble (1) increases (2) remains the same (3) is equal to the atmospheric pressure (4) decreases
  2. Correct Bernoulli's equation is (symbols have their usual meaning)

(1) constant

(2) constant (3) constant

6 m 12 L

6 mL^2 20 mL^2 30 mL^2 mL^2

s

ω 0

ω t

t θ = t^2 + 2 t + 3

t = 1 units 3 units

t = 2 units^0 units t = 0 t = 2 units^2 units

t = 0 t = 4 units^4 units

a m A F

(^2) mg 3 mg mg

mg

P + ρgh + 1 ρv^2 = 2 P + ρgh + ρv^2 =

P + ρgh + ρv^2 = (4) (^) P + mgh (^) + mv^2 =constant

  1. A liquid of density is poured in a tube in right arm with height which contains Another liquid is poured in left arm with height Upper levels of and are same. What is the density of?
  1. If million small drops of water coalesce into one larger drop, then the ratio of total surface energy of the larger drop to that of the smaller drops combined will be (1) (2) (3) (4)

  2. The surface tension of a liquid is. If a thin film of the area is formed on a loop. Then the surface energy will be (1) (2) (3) (4)

  3. A thin liquid film formed between a -shaped wire and a light slider supports a weight of (see figure). The length of the slider is and its weight is negligible. The surface tension of the liquid film is

  1. A particle is executing two different simple harmonic motions, mutually perpendicular, of different amplitudes and having phase difference of. The path of the particle will be (1) circular (2) straight line

  2. A simple pendulum is oscillating with amplitude A and angular frequency. At displacement from mean position, the ratio of kinetic energy to potential energy is

(1)

  1. The ratio of kinetic energy to the potential energy of a particle executing SHM at a distance equal to half its amplitude, the distance being measured from its equilibrium position is (1) (2) (3) (4)
  2. Two particles execute SHM with same amplitudes and same angular frequency on same straight line with same mean position. Given that during oscillation they cross each other in opposite direction when at a distance from mean position. Find phase difference in the two . (1) (2) (3) (4)
  3. A person measures a time period of a simple pendulum inside a stationary lift and finds it to be. If the lift starts accelerating upwards with an acceleration , the time period of the pendulum will be

(1)

X 3.36 g / cm^3 U − 10 cm , Hg. Y 8 cm. X Y Y

0.8 g / cc 1.2 g / cc 1.4 g / cc 1.6 g / cc

1 : 10^4

1 : 10^3

1 : 10^2

10 N / m 0.05 m^2

5 J 3 J 2 J 1 J U

1.5 × 10 −^2 N 30 cm

0.0125 Nm^1 0.1 Nm^1 0.05 Nm^1 0.025 Nm^1

π / 2

ω x

x^2 A^2 x^2 x^2 A^2 x^2 A^2 x^2 x^2 A x x

A / 2

SHMs 80 ∘ 120 ∘ 55 ∘ 150 ∘

T

g 3

T √ 3 √ 3 T 2 √ 3 T T 3

(3) parabolic (4) elliptical

  1. The oscillation of a body on a smooth horizontal surface is represented by the equation,

where displacement at time frequency of oscillation. Which one of the following graphs shows the variation of with ' ' correctly? ( 1 )

  1. The displacement of a particle along the -axis is given by. The motion of the particle corresponds to (1) Simple harmonic motion of frequency (2) Simple harmonic motion of frequency (3) Non simple harmonic motion (4) Simple harmonic motion of frequency

  2. A block attached to a spring vibrates with a frequency of on a frictionless horizontal table. Two springs identical to the original spring are attached in parallel to an block placed on the same table. So, the frequency of vibration of the block is - (1) (2)

(3)

  1. The displacement of the particle varies with time according to the relation. , then (1) The motion is oscillating but not SHM (2) The motion is SHM with amplitude (3) The motion is SHM with amplitude (4) The motion is SHM with amplitude

  2. Four massless springs whose force constants are , and , respectively are attached to a mass , kept on a frictionless plane (as shown in figure). If the mass is displaced in the horizontal direction, then find the frequency of the system.

  1. Match the Column I (quantity) with Column II (value) for an object executing simple harmonic motion in a horizontal plane with displacement given as and select the correct answer from the codes given below

Column I Column II A P

B Q

C R

D S

(1) A - R, B - P, C - S, D - Q

(2) A - R, B - S, C - P, D - Q

(3) A - S, B - R, C - Q, D - P

(4) A - R, B - S, C - Q, D - P

  1. The following four wires are made of same material. Which of these will have the largest extension when the same tension is applied? (1) (2) (3) (4)

X = A cos( ωt ) X = t ω =

a t

x x = a sin^2 ωt

ω / π ω /2 π

3 ω /2 π 1 kg 1 Hz

8 kg

8 kg 2 Hz (^1) Hz 4 (^1) Hz 2√ 2 Hz

y = a sin ωt + b cos ωt

a + b a^2 + b^2 √ a^2 + b^2

2 k , 2 k , k 2 k M M

2 π

k 4 M (^1) √ 2 π

4 k M (^1) √ 2 π

k 7 M (^1) √ 2 π

7 k M

x = A cos ωt

v max A

T /

a max A T^ / If object starts from x = + A , then time to

reach at A √ 2

ω

If object starts from x = 0 and move towards right, then the time to reach at + A /

ω^2

Length = 300 cm , diameter = 3 mm Length = 50 cm , diameter = 0.5 mm Length = 200 cm , diameter = 2 mm Length = 100 cm , diameter = 1 mm