Breaking stress of a wire of length L and radius r is B. If another wire made of the same material has length 2L and radius 2r, its breaking stress will be:

(1) 2B

(2) B4

(3) B

(4) 4B

Subtopic:  Stress - Strain |
 55%
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If E is the energy stored per unit volume in a wire having Young's modulus of the material Y, then stress applied is:

1.  2EY

2.  2EY

3.  12EY

4.  32EY

Subtopic:  Potential energy of wire |
 80%
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Two wires of the same material have lengths in the ratio of 1: 2. If they are stretched by applying equal forces, the increase in lengths is the same. The ratio of their respective radii is:

(1) 1: 1

(2) 1: 2

(3) 1: 2

(4) 2: 1

Subtopic:  Young's modulus |
 78%
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The value of Poisson's ratio cannot be:

(1) 0.05

(2) 0.32

(3) 0.63

(4) 0.49

Subtopic:  Poisson's Ratio |
 81%
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A steel wire of cross-sectional area 3 x 10-6 m2 can withstand a maximum strain of 10-3. If Young's modulus of steel is 2 x 1011 Nm-2, then maximum mass which the wire can hold is: (Take g =10 m/s2)

(1) 40 kg

(2) 100 kg

(3) 80 kg

(4) 60 kg

Subtopic:  Stress - Strain |
 85%
From NCERT
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If Poisson's ratio σ is 12 for material, then the material is

(1) Incompressible

(2) Elastic fatigue

(3) Compressible

(4) Plastic

Subtopic:  Poisson's Ratio |
 64%
From NCERT
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A wire can bear maximum force F. A wire of same material but triple radius can bear the maximum force of:

(1) F

(2) 3F

(3) 9F

(4) 27 F

Subtopic:  Young's modulus |
 79%
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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%
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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%
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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%
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