The increase in the length of a wire on stretching is \(0.04\)%. If Poisson's ratio for the material of wire is \(0.5,\) then the diameter of the wire will:

1. decrease by \(0.02\)%. 2. decrease by \(0.01\)%.
3. decrease by \(0.04\)%. 4. increase by \(0.03\)%.

Subtopic:  Poisson's Ratio |
 73%
From NCERT
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A force applied on a brass wire of uniform cross-section area creates change in its length and cross-sectional area. If lateral strain produced in the wire is 3 x 10-2, then the energy stored per unit volume of wire will be: [Ybrass = 9 x 1010 N/m2, σbrass = 0.3]

(1) 275 MJ/m3

(2) 315 MJ/m3

(3) 450 MJ/m3

(4) 175 GJ/m3

Subtopic:  Potential energy of wire |
 74%
From NCERT
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A uniform wire of length \(3\) m and mass \(10\) kg is suspended vertically from one end and loaded at another end by a block of mass \(10\) kg. The radius of the cross-section of the wire is \(0.1\) m. The stress in the middle of the wire is: (Take \(g=10\) ms-2)

1. \(1.4 \times10^4\) N/m2 2. \(4.8 \times10^3\) N/m2
3. \(96 \times10^4\) N/m2 4. \(3.5\times10^3\) N/m2
Subtopic:  Stress - Strain |
 66%
From NCERT
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A uniform wire is held at one end and stretched by applying force at the other end. If the product of the length of wire and area of cross-section of the wire remains unchanged, then Poisson's ratio of material of the wire will be:

1. 0 2. 0.50
3. -0.5 4. Infinity

Subtopic:  Poisson's Ratio |
 60%
From NCERT
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A wire is loaded by a block of mass 10 kg which results in an increase in its length by 10 cm. The work done by a gravitational force which increases the temperature of the wire is:

(1) 2.5 J

(2) 5 J

(3) 10 J

(4) 20 J

Subtopic:  Potential energy of wire |
 73%
From NCERT
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Three identical balls of rubber, aluminium, and steel are dropped from the same height on a horizontal rigid surface. If Vrubber VAl, and Vsteel are their speeds just after the collision, then

(1) Vrubber = VAl = Vsteel

(2) Vrubber > VAl > Vsteel

(3) Vrubber < VAl < Vsteel

(4) Vrubber > VAl = Vsteel

Subtopic:  Elasticity |
 53%
From NCERT
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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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