# 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%
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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 $$1 \times 10^6~\text{N/m}^2$$ 2 $$2 \times 10^7~\text{N/m}^2$$ 3 $$4 \times 10^8~\text{N/m}^2$$ 4 $$6 \times 10^{10}~\text{N/m}^2$$
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%
From NCERT
NEET - 2019
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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%
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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 |
76%
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The compressibility of water is $$4\times 10^{-5}$$ per unit atmospheric pressure. The decrease in volume of $$100$$ cubic centimeter of water under a pressure of $$100$$ atmosphere will be:
1. $$0.4~\text{cc}$$
2. $$4\times 10^{-5}~\text{cc}$$
3. $$0.025~\text{cc}$$
4. $$0.004~\text{cc}$$

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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