The stress versus strain graphs for wires of two materials A and B are as shown in the figure. If YA and YB 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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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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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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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 A1=0.1 cm2 and brass wire of cross-sectional area A2=0.2 cm2. To have equal stress in both wires, T1/T2=?

1. 1/3 2. 1/4
3. 4/3 4. 1/2
Subtopic:  Stress - Strain |
 74%
From NCERT
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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 |
 85%
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 |
 54%
From NCERT
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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 |
 64%
From NCERT
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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%
From NCERT
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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. 4×10-5cc

3. 0.025 cc       

4. 0.004 cc 

Subtopic:  Shear and bulk modulus |
 63%
From NCERT
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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%
From NCERT
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