A solid cylinder of radius 10 cm and length 1 m clamped from its one end is twisted through an angle of 0.4 rad by applying torque at another free end. The shear strain developed in the cylinder will be:

(1) 0.2

(2) 0.8

(3) 0.02

(4) 0.04

Subtopic:  Stress - Strain |
 71%
From NCERT
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If two wires of the same material and of the same length have a ratio of their radii 1:2, then under the effect of same stretching force their respective elongation will be in the ratio of:

(1) 1: 1

(2) 1: 2

(3) 4: 1

(4) 1: 4

Subtopic:  Stress - Strain |
 73%
From NCERT
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The metal rod (Y = 2 x 1012 dyne/sq. cm) of the coefficient of linear expansion 1.6 x 10-5 per °C has its temperature raised by 20°C. The linear compressive stress to prevent the expansion of the rod is:

(1) 2.4 x 108 dyne/sq. cm

(2) 3.2 x 108 dyne/sq. cm

(3) 6.4 x 108 dyne/sq. cm

(4) 1.6 x 108 dyne/sq. cm

Subtopic:  Thermal Stress |
 79%
From NCERT
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One end of a uniform wire of length L and weight W0, is attached rigidly to a point in the roof and weight W1 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 L/4 from its lower end is:

(1) W1/S

(2) [W1 + (W0/4)]/S

(3) [W1 + (3W0/4)/S

(4) (W1 + W0)/S

Subtopic:  Stress - Strain |
 64%
From NCERT
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An elongation of 0.1% in a wire of cross-sectional area 10-6 m2 causes tension of 100 N. The Young's modulus is:

(1) 1012 N/m2

(2) 1011 N/m2

(3) 1010 N/m2

(4) 102 N/m2

Subtopic:  Stress - Strain |
 79%
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The elongation (x) of a steel wire varies with the elongating force (F) according to the graph: (within elastic limit)

1. 2.
3. 4.
Subtopic:  Stress - Strain Curve |
 66%
From NCERT
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A steel ring of radius r and cross-section area A is fitted on to a wooden disc of radius R (R > r). If Y is Young's modulus of elasticity, then tension with which the steel ring is expanded is:

1.  AYRr

2.  AYR - rr

3.  YR - rAr

4.  YrAR

Subtopic:  Young's modulus |
 83%
From NCERT
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Young's modulus of a material is 2.4 times that of its modulus of rigidity. Its Poisson's ratio is:

(1) 1. 2

(2) 2. 4

(3) 0. 2

(4) 0. 4

Subtopic:  Poisson's Ratio |
 64%
From NCERT
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The longitudinal strain of a string is equal to twice the magnitude of lateral strain. Poisson's ratio of the material of string is:

(1) 0.4

(2) 0.5

(3) 0.1

(4) 0.2

Subtopic:  Poisson's Ratio |
 87%
From NCERT
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When a mass M is suspended by a wire, it elongates the wire by length l. The work done during this elongation process is:

(1) Zero

(2) 12Mgl

(3) Mgl

(4) 2Mgl

Subtopic:  Potential energy of wire |
 84%
From NCERT
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