Physics Objective type question bank -2

1.
Four point masses, each of value m, are placed at the corners of a square ABCD, having each side of length L. what is the moment of inertia of this system about an axis passing through A and parallel to the diagonal BD?
(a) 3mL2 (b) 2 mL2
(c) (d) mL2
Answer: (a)

2.
A thin uniform, circular ring is rolling down an inclined plane of inclination 30° without slipping. Its linear acceleration along the inclined plane will be (CBSE 92)
(a) g/2 (b) g/3
(c) g/4 (d) 2g/3
Answer: (a)
3.
The moment of inertia of a thin circular disc of mass M and radius R about any diameter is (MH-CET 99)
(a) (b)
(c) MR2 (d) 2 MR2
Answer: (a)
4.
The moment of inertia of a copper disc, rotating about an axis passing through its centre and perpendicular to its plane
(a) Increases f its temperature is increased
(b) Changes if its axis of rotation is changed
(c) Increases if its angular velocity is increased
(d) Both (a) and (b) are correct
Answer: (d)
5.
A constant torque of 31.4 N-m is applied to a pivoted wheel. If the angular acceleration of the wheel is 4p rad/s2, then the moment of inertia of the wheel is
(a) 1.5 kg m2 (b) 2.5 kg m2
(c) 3.5 kg m2 (d) 4.5 kg m2
Answer: (b)
6.
A rope is wound round a hollow cylinder of mass 5 kg and radius 0.5 m. what is the angular acceleration of the cylinder if the rope is pulled with a force of 20 N?
(a) 4 rad/s2 (b) 5 rad/s2
(c) 6 rad/s2 (d) 8 rad/s2
Answer: (d)
7.
A solid cylinder of mass 20 kg, has length 1 metre and radius 0.5m. then its momentum of inertia in kg m2 about its geometrical axis is
(a) 2.5 (b) 5
(c) 1.5 (d) 3
Answer: (a)
8.
A wheel rotates with a constant angular acceleration of 2 rad/s2. if the wheel start from rest the number of revolutions it makes in the first ten second will be approximately (MP-PMT 94)
(a) 8 (b) 16
(c) 24 (d) 32
Answer: (b)
9.
The M.I. of a uniform semicircular disc of mass M and radius R about a line perpendicular to the plane of the disc and passing through the centre is
(a) (b)
(c) MR2 (d)
Answer: (a)
10.
Dimensions of angular momentum is
(MHT-CET-2004)
(a) [M1L2T-2] (b) [M-1L-2T-1]
(c) [M1L2T-2] (d) [M1L0T-1]
Answer: (c)