The ratio of lengths of two rods \(A\) and \(B\) of the same material is \(1:2\) and the ratio of their radii is \(2:1\). The ratio of modulus of rigidity of \(A\) and \(B\) will be:

1. \(4:1\) 2. \(16:1\)
3. \(8:1\) 4. \(1:1\)

Subtopic:  Stress - Strain |
 56%
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When a spiral spring is stretched by suspending a load on it, the strain produced is called:

1. Shearing
2. Longitudinal
3. Volume       
4. shearing and longitudinal
Subtopic:  Shear and bulk modulus |
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The Young's modulus of the material of a wire is \(6\times 10^{12}~\text{N/m}^2\) and there is no transverse strain in it, then its modulus of rigidity will be:

1. \(3\times 10^{12}~\text{N/m}^2\)
2. \(2\times 10^{12}~\text{N/m}^2\)
3. \(10^{12}~\text{N/m}^2\)
4. None of the above

Subtopic:  Elasticity |
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Modulus of rigidity of a liquid:

(1) Non zero constant

(2) Infinite

(3) Zero

(4) Can not be predicted

Subtopic:  Shear and bulk modulus |
 63%
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A cube of aluminium of sides \(0.1~\text{m}\) is subjected to a shearing force of \(100\) N. The top face of the cube is displaced through \(0.02\) cm with respect to the bottom face. The shearing strain would be:
1. \(0.02\)                                   
2. \(0.1\)
3. \(0.005\)                               
4. \(0.002\)

Subtopic:  Stress - Strain |
 72%
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The upper end of a wire of radius 4 mm and length 100 cm is clamped and its other end is twisted through an angle of 30°. Then angle of shear is

(1) 12°                                     

(2) 0.12°

(3) 1.2°                                     

(4) 0.012°

Subtopic:  Stress - Strain |
 68%
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A rod of length l and radius r is joined to a rod of length l/2 and radius r/2 of same material. The free end of small rod is fixed to a rigid base and the free end of larger rod is given a twist of θ, the twist angle at the joint will be 

(a) θ/4                          (b) θ/2

(c) 5θ/6                         (d) 8θ/9

Subtopic:  Stress - Strain |
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Shearing stress causes a change in-

(1)   Length                              

(2)   Breadth

(3)   Shape                               

(4)   Volume

Subtopic:  Stress - Strain |
 76%
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To break a wire, a force of 106N/m2 is required. If the density of the material is 3×103 kg/m3, then the length of the wire which will break by its own weight will be -

(a) 34 m                             (b) 30 m

(c) 300 m                            (d) 3 m

Subtopic:  Stress - Strain |
 53%
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One end of a uniform wire of length \(L\) and of weight \(W\) is attached rigidly to a point in the roof and a weight \(W_1\) is suspended from its lower end. If \(S\) is the area of cross-section of the wire, the stress in the wire at a height \(\frac{3L}{4}\) from its lower end is:
1. \(\frac{W_1}{S}\)
2. \(\frac{W_1+\left(\frac{W}{4}\right)}{S}\)
3. \(\frac{W_1+\left(\frac{3W}{4}\right)}{S}\)
4. \(\frac{W_1+W}{S}\)

Subtopic:  Stress - Strain |
 76%
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