Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R): 
 
Assertion (A): Fan spins even after switch is in OFF.
Reason (R): Fan in rotation has rotational inertia.

In the light of the above statements choose the correct answer from the options given below:
 
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. Both (A) and (R) are false.
Subtopic:  Moment of Inertia |
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The moment of inertia of a uniform circular disc of radius 'R' and mass 'M' about an axis passing from the edge of the disc and normal to the disc is:

1. 12MR2

2. 72MR2

3. 32MR2

4. MR2

Subtopic:  Moment of Inertia |
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AIPMT - 2005
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The moment of inertia of the object depends upon:
1. distribution of mass 
2. axis of rotation of the body
3. shape and size of the body
4. all of the above

Subtopic:  Moment of Inertia |
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The ratio of the radii of gyration of a circular disc to that of a circular ring, each of same mass and radius, around their respective axes is -

1. 3:2                                         2. 1:2

3. 2:1                                            4. 2:3

Subtopic:  Moment of Inertia |
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NEET - 2008
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A cricket mat of mass \(50\) kg is rolled loosely in the form of a cylinder of radiys \(2\) m. Now, again it is rolled tightly so that the radius becomes \(\frac{3}{4}\)th of original value; then the ratio of moment of inertia of mat in the two cases is:
1. \(1:3\)
2. \(4:3\)
3. \(16:9\)
4. \(3:5\)
Subtopic:  Moment of Inertia |
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The moment of inertia of a rod of mass M, length l about an axis perpendicular to it through one end is:

1.  Ml2

2.  Ml22

3.  Ml23

4.  Can't be determined

 

Subtopic:  Moment of Inertia |
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The moment of inertia of a uniform circular disc of radius 'R' and mass 'M' about an axis touching the disc at its edge and normal to the disc is :

(1) 32MR2

(2) 12MR2

(3) MR2

(4) 25MR2

Subtopic:  Moment of Inertia |
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For a uniform disc, the moment of inertia about diameter is \(\dfrac{MR^{2}}{4},\) where \(M\) is mass and \(R\) is radius of the disc. The moment of inertia about tangent parallel to diameter is:
1. \(\dfrac{3}{4}MR^{2}\) 2. \(\dfrac{5}{4}MR^{2}\)
3. \(\dfrac{3}{2}MR^{2}\) 4. \(\dfrac{5}{2}MR^{2}\)
Subtopic:  Moment of Inertia |
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JEE
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A light rod of length l has two masses m1 and m2 attached to its two ends. The moment of inertia of the system about an axis perpendicular to the rod and passing through the centre of mass is:

1.  m1m2m1+m2l2

2.  m1+m2m1m2l2

3.  m1+m2l2

4.  m1+m2l2

Subtopic:  Moment of Inertia |
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Consider two wheels, \(P\) and \(Q,\) connected via a belt drive system, \(B.\) If the radius of \(P\) is three times the radius of \(Q,\) and the rotational kinetic energies of both wheels are identical, what is the value of \(x\) in the expression \(\dfrac{I_1}{I_2}=\dfrac{x}{1},\) where \(I_1\) and \(I_2\) represent the moments of inertia of wheels \(P\) and \(Q,\) respectively?

1. \(2\)
2. \(4\)
3. \(9\)
4. \(11\)
Subtopic:  Moment of Inertia |
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