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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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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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: ($\mathrm{Y}=2.0×{10}^{11}$ ${\mathrm{Nm}}^{-2}$)

1.  $3.2×{10}^{11}$ ${\mathrm{Nm}}^{-2}$

2.  $3.2×{10}^{7}$ ${\mathrm{Nm}}^{-2}$

3.  $3.6×{10}^{9}$ ${\mathrm{Nm}}^{-2}$

4.  3.9$×{10}^{8}$ ${\mathrm{Nm}}^{-2}$

Subtopic:  Young's modulus |
From NCERT
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Choose the correct statement.

 1 Breaking stress does not depend on the area of cross-section. 2 $$\mathrm{B}_{\text {solid }}>\mathrm{B}_{\text {gas }}>\mathrm{B}_{\text {liquid }}$$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 |
53%
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A steel ring of radius $$\mathrm{r}$$ and cross-section area $$\mathrm{A}$$ is fitted onto a wooden disc of radius $$\mathrm{R}(\mathrm{R}>\mathrm{r}).$$ If Young's modulus is $$\mathrm{E},$$ then the force with which the steel ring is expanded is:

 1 $$\mathrm{AE} \frac{\mathrm{R}}{\mathrm{r}}$$ 2 $$A E \frac{R-r}{r}$$ 3 $$\frac{E}{A} \frac{R-r}{A}$$ 4 $$\frac{\mathrm{Er}}{\mathrm{AR}}$$
Subtopic:  Young's modulus |
84%
From NCERT
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A light rod of length 2m 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 ${A}_{1}=0.1$ $c{m}^{2}$ and brass wire of cross-sectional area ${A}_{2}=0.2$ $c{m}^{2}$. To have equal stress in both wires, ${\mathrm{T}}_{1}/{\mathrm{T}}_{2}$=?

 1 1/3 2 1/4 3 4/3 4 1/2
Subtopic:  Stress - Strain |
74%
From NCERT
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The stress versus strain graphs for wires of two materials A and B are as shown in the figure. If ${\mathrm{Y}}_{\mathrm{A}}$ $\mathrm{and}$ ${\mathrm{Y}}_{\mathrm{B}}$ are the Young's moduli of the materials, then:

 1 YB = 2YA 2 YA = YB 3 YB = 3YA 4 YA = 3YB
Subtopic:  Stress - Strain Curve |
77%
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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A vessel of $$1\times 10^{-3}$$ m3 volume contains oil. When a pressure of $$1.2 \times10^5$$ N/mis applied on it, then volume decreases by $$0.3 \times 10^{-6}$$ m3. The bulk modulus of oil is:

 1 $$1 \times 10^6 \mathrm{~N} / \mathrm{m}^2$$ 2 $$2 \times 10^7 \mathrm{~N} / \mathrm{m}^2$$ 3 $$4 \times 10^8 \mathrm{~N} / \mathrm{m}^2$$ 4 $$6 \times 10^{10} \mathrm{~N} / \mathrm{m}^2$$
Subtopic:  Shear and bulk modulus |
87%
From NCERT
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