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This physics related qn for university students only
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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
If there is a change of angular momentum from in , then the torque applied is
(1)
(2)
(3)
(4)
(1) (2)
(3) (4)
m kg
sec J J J J
1 Js to 4 Js 4 s
( 5 ) J 4
( ) J
M l
x
x
2 l m xx ′ α
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
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)
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
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)
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 )
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) 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
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)
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)
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
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
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)
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
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
SHMs 80 ∘ 120 ∘ 55 ∘ 150 ∘
g 3
T √ 3 √ 3 T 2 √ 3 T T 3
(3) parabolic (4) elliptical
where displacement at time frequency of oscillation. Which one of the following graphs shows the variation of with ' ' correctly? ( 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
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)
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
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.
Column I Column II A P
B Q
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
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