Systems of Particles and Rotational Motion Test

Result

Systems of Particles and Rotational Motion Test - 35

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Question 1
4 / -1

If the earth were to suddenly contract so that its radius become half of it present radius, without any change in its mass, the duration of the new day will be...

A
6 hr

B
12 hr

C
18 hr

D
30 hr

Solution
Question 2
4 / -1

In HC1 molecule the separation between the nuclei of the two atoms is about 1.27Å (1Å = 10^–10) The approximate location of the centre of mass of the molecule is –Åî with respect of Hydrogen atom ( mass of CL is 35.5 times of mass of Hydrogen)

A
1

B
2.5

C
1.24

D
1.5

Solution
Question 3
4 / -1

A car is moving at a speed of 72 km/hr the radius of its wheel is 0.25m. If the wheels are stopped in 20 rotations after applying breaks then angular retardation produced by the breaks is ......

A

B

C

D

Solution
Question 4
4 / -1

Two discs of the same material and thickness have radii 0.2 m and 0.6 m their moment of inertia about their axes will be in the ratio

A
1 : 81

B
1 : 27

C
1 : 9

D
1 : 3

Solution
Question 5
4 / -1

A wheel of mass 10 kg has a moment of inertia of 160 kg m² about its own axis. The radius of gyration will be _______ m.

A
10

B
8

C
6

D
4

Solution
Question 6
4 / -1

One solid sphere A and another hollow sphere B are of the same mass and same outer radii. The moment of inertia about their diameters are respectively I_A and I_B such that...

A
I_A = I_B

B
I_A > I_B

C
I_A < I_B

D

Solution
Question 7
4 / -1

A ring of mass M and radius r is melted and then molded in to a sphere then the moment of inertia of the sphere will be.....

A
more than that of the ring

B
Less than that of the ring

C
Equal to that of the ring

D
None of these

Solution
Question 8
4 / -1

One quater sector is cut from a uniform circular disc of radius R. This sector has mass M. It is made to rotate about a line perpendicular to its plane and passing through the centre of the original disc. Its moment of inertia about the axis of rotation is...

A

B

C

D

Solution
Question 9
4 / -1

Two disc of same thickness but of different radii are made of two different materials such that their masses are same. The densities of the materials are in the ratio 1:3. The moment of inertia of these disc about the respective axes passing through their centres and perpendicular to their planes will be in the ratio.

A
1 : 3

B
3 : 1

C
1 : 9

D
9 : 1

Solution
Question 10
4 / -1

Let I be the moment of inertia of a uniform square plate about an axis AB that passes through its centre and is parallel to two of its sides CD is a line in the plane of the plate that passes through the centre of the plate and makes an angle of Q with AB. The moment of inertia of the plate about the axis CD is then equal to....

A
I

B
Isin²Ɵ

C
Icos²Ɵ

D
Icos²Ɵ/2

Solution