# 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%
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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 |
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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%
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The stress-strain curves are drawn for two different materials $$X$$ and $$Y.$$ It is observed that the ultimate strength point and the fracture point are close to each other for material $$X$$ but are far apart for material $$Y.$$ We can say that the materials $$X$$ and $$Y$$ are likely to be (respectively):

 1 ductile and brittle 2 brittle and ductile 3 brittle and plastic 4 plastic and ductile
Subtopic:  Stress - Strain Curve |
81%
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NEET - 2019
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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%
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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 |
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A wire of negligible mass and length 2 m is stretched by hanging a 20 kg load to its lower end keeping its upper end fixed. If work done in stretching the wire is 50 J, then the strain produced in the wire will be:

1. 0.5

2. 0.1

3. 0.4

4. 0.25

Subtopic:  Potential energy of wire |
63%
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The length of an elastic string is $$a$$ metre when the longitudinal tension is $$4$$ N and $$b$$ metre when the longitudinal tension is $$5$$ N. The length of the string in metre when the longitudinal tension is $$9$$ N will be:

 1 $$a-b$$ 2 $$5b-4a$$ 3 $$2b-\frac{1}{4}a$$ 4 $$4a-3b$$
Subtopic:  Hooke's Law |
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The compressibility of water is $4×{10}^{-5}$ per unit atmospheric pressure. The decrease in volume of 100 cubic centimeter of water under a pressure of 100 atmosphere will be:

1. 0.4 cc

2. $4×{10}^{-5}cc$

3. 0.025 cc

4. 0.004 cc

Subtopic:  Shear and bulk modulus |
63%
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A uniform cube is subjected to volume compression. If each side is decreased by 1%, then bulk strain is:

 1 0.01 2 0.06 3 0.02 4 0.03
Subtopic:  Shear and bulk modulus |
64%
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