# Overall changes in volume and radius of a uniform cylindrical steel wire are $$0.2\%$$ and $$0.002\%$$ respectively when subjected to some suitable force. Longitudinal tensile stress acting on the wire is: $$\left(2.0\times 10^{11}~\text{Nm}^{-2}\right)$$ 1. $$3.2\times 10^{11}~\text{Nm}^{-2}$$ 2. $$3.2\times 10^{7}~\text{Nm}^{-2}$$ 3. $$3.6\times 10^{9}~\text{Nm}^{-2}$$ 4. $$3.9\times 10^{8}~\text{Nm}^{-2}$$

Subtopic:  Young's modulus |
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A 1000 kg lift is tied with metallic wires of maximum safe stress of 1.4 $×$ 108 N m-2. If the maximum acceleration of the lift is 1.2 m s-2, then the minimum diameter of the wire is:
1. 1 m

2. 0.1 m

3. 0.01 m

4. 0.001 m

Subtopic:  Stress - Strain |
55%
From NCERT
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A wire can sustain a weight of 10 kg before breaking. If the wire is cut into two equal parts, then each part can sustain a weight of:

 1 2.5 kg 2 5 kg 3 10 kg 4 15 kg
Subtopic:  Stress - Strain |
72%
From NCERT
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Copper of fixed volume $$V$$ is drawn into a wire of length $$l.$$ When this wire is subjected to a constant force $$F,$$ the extension produced in the wire is $$\Delta l.$$ Which of the following graphs is a straight line?
1. $$\Delta l ~\text{vs}~\frac{1}{l}$$
2. $$\Delta l ~\text{vs}~l^2$$
3. $$\Delta l ~\text{vs}~\frac{1}{l^2}$$
4. $$\Delta l ~\text{vs}~l$$

Subtopic:  Young's modulus |
70%
From NCERT
AIPMT - 2014
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Two wires are made of the same material and have the same volume. The first wire has a cross-sectional area $$A$$ and the second wire has a cross-sectional area $$3A$$. If the length of the first wire is increased by $$\Delta l$$ on applying a force $$F$$, how much force is needed to stretch the second wire by the same amount?

 1 $$9F$$ 2 $$6F$$ 3 $$4F$$ 4 $$F$$
Subtopic:  Young's modulus |
76%
From NCERT
NEET - 2018
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Choose the correct statement.
 1 Breaking stress does not depend on the area of cross-section. 2 $$B_{\text {solid }}>{B}_{\text {gas }}>{B}_{\text {liquid }}$$ where $$B$$ is the bulk modulus. 3 Breaking load does not depend on the area of cross-section. 4 Young's modulus always decreases on decreasing the temperature.
Subtopic:  Shear and bulk modulus |
54%
From NCERT
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A steel ring of radius $$r$$ and cross-section area $$A$$ is fitted onto a wooden disc of radius $$R(R>r).$$ If Young's modulus is $${E},$$ then the force with which the steel ring is expanded is:
 1 $${AE} \frac{R}{r}$$ 2 $$A E \left(\frac{R-r}{r}\right)$$ 3 $$\frac{E}{A}\left(\frac{R-r}{A}\right)$$ 4 $$\frac{Er}{AR}$$
Subtopic:  Young's modulus |
85%
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A light rod of length $$2~\text{m}$$ is suspended from the ceiling horizontally by means of two vertical wires of equal length. A weight $$W$$ is hung from the light rod as shown in the figure. The rod is hung by means of a steel wire of cross-sectional area $$A_1 = 0.1~\text{cm}^2$$ and brass wire of cross-sectional area$$A_2 = 0.2~\text{cm}^2$$. To have equal stress in both wires, $$\frac{T_1}{T_2}?$$${\mathrm{}}_{}$

 1 $$1/3$$ 2 $$1/4$$ 3 $$4/3$$ 4 $$1/2$$
Subtopic:  Stress - Strain |
75%
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The stress versus strain graphs for wires of two materials $$A$$ and $$B$$ are as shown in the figure. If $$Y_A$$ $\mathrm{and}$ $$Y_B$$ are the Young's moduli of the materials, then:

 1 $$Y_B = 2Y_A$$ 2 $$Y_A = Y_B$$ 3 $$Y_B = 3Y_A$$ 4 $$Y_A =3 Y_B$$
Subtopic:  Stress - Strain Curve |
77%
From NCERT
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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 $$A$$ 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. $$\frac{W+W_1}{A}$$
2. $$\frac{4W+W_1}{3A}$$
3. $$\frac{3W+W_1}{4A}$$
4. $$\frac{\frac{3}{4}W+W_1}{A}$$

Subtopic:  Stress - Strain |
71%
From NCERT
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