# 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  and brass wire of cross-sectional area . 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 |
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The stress versus strain graphs for wires of two materials A and B are as shown in the figure. If  are the Young's moduli of the materials, then 1. ${\mathrm{Y}}_{\mathrm{B}}=2{\mathrm{Y}}_{\mathrm{A}}$

2. ${\mathrm{Y}}_{\mathrm{A}}={\mathrm{Y}}_{\mathrm{B}}$

3. ${\mathrm{Y}}_{\mathrm{B}}=3{\mathrm{Y}}_{\mathrm{A}}$

4. ${\mathrm{Y}}_{\mathrm{A}}=3{\mathrm{Y}}_{\mathrm{B}}$

Subtopic:  Stress - Strain Curve |
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A vessel of $1×{10}^{-3}{m}^{3}$ volume contains oil. When a pressure of $1.2×{10}^{5}$ $N/{m}^{2}$ is applied on it, then volume decreases by . The bulk modulus of oil is:

1.

2.

3.

4.

Subtopic:  Shear and bulk modulus |
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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 |
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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. $\mathrm{AE}\frac{\mathrm{R}}{\mathrm{r}}$

2. $\mathrm{AE}\left(\frac{\mathrm{R}-\mathrm{r}}{\mathrm{r}}\right)$

3. $\frac{\mathrm{E}}{\mathrm{A}}\left(\frac{R-r}{A}\right)$

4. $\frac{\mathrm{Er}}{\mathrm{AR}}$

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

1. Breaking stress does not depend on the area of cross-section.

2. ${\mathrm{B}}_{\mathrm{solid}}>{\mathrm{B}}_{\mathrm{gas}}>{\mathrm{B}}_{\mathrm{liquid}}$, 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 2m 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 |
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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 -$\frac{1}{4}\mathrm{a}$

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 |
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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 |
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