The amount of elastic potential energy per unit volume (in SI unit) of a steel wire of length 100 cm to stretch it by 1 mm is:
(given: Young's modulus of the wire = Y=2.0×1011 N/m2 )
1. 1011 J/m3
2. 1017 J/m3
3. 107 J/m3
4. 105 J/m3

Subtopic:  Potential energy of wire |
 65%
From NCERT
NEET - 2023
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Let a wire be suspended from the ceiling (rigid support) and stretched by a weight W attached at its free end. The longitudinal stress at any point of the cross-sectional area A of the wire is:
1. zero 2. 2WA
3. WA 4. W2A
Subtopic:  Stress - Strain |
 67%
From NCERT
NEET - 2023
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Given below are two statements: 
Assertion (A): The stretching of a spring is determined by the shear modulus of the material of the spring.
Reason (R): A coil spring of copper has more tensile strength than a steel spring of the same dimensions.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is False but (R) is True.
4. (A) is True but (R) is False.
Subtopic:  Shear and bulk modulus |
From NCERT
NEET - 2022
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The maximum elongation of a steel wire of 1 m length if the elastic limit of steel and its Young's modulus, respectively, are 8×108 N m2 and 2×1011 N m2, is:
1. 0.4 mm
2. 40 mm
3. 8 mm
4. 4 mm
Subtopic:  Young's modulus |
 66%
From NCERT
NEET - 2024
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The figure given below shows the longitudinal stress vs longitudinal strain graph for a given material. Based on the given graph, Young's modulus of the material with the increase in strain will:

        

1. be variable.

2. first increase & then decrease.

3. first decrease & then increase.

4. remain constant.

Subtopic:  Stress - Strain Curve |
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The average depth of the Indian Ocean is about 3000 m. The fractional compression ΔVV, of water at the bottom of the ocean is? 
(Given that the bulk modulus of water is 2.2×109 Nm2 and g=10 ms2)
1. 1.36×103
2. 2.36×103
3. 1.36×102
4. 2.36×102

Subtopic:  Shear and bulk modulus |
 75%
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A square lead slab of side 50 cm and thickness 10 cm is subject to a shearing force (on its narrow face) of 9.0×104 N. The lower edge is riveted to the floor as shown in the figure below. How much will the upper edge be displaced? (Shear modulus of lead =5.6×109 Nm2)

                     

1. 0.16 mm 2. 1.8 mm
3. 18 mm 4. 16 mm
Subtopic:  Shear and bulk modulus |
 60%
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In a human pyramid in a circus, the entire weight of the balanced group is supported by the legs of a performer who is lying on his back (as shown in the figure below). The combined mass of all the persons performing the act, and the tables, plaques, etc. involved is 280 kg. The mass of the performer lying on his back at the bottom of the pyramid is 60 kg. Each thighbone (femur) of this performer has a length of 50 cm and an effective radius of 2.0 cm. The amount by which each thighbone gets compressed under the extra load is: (The Young’s modulus for bone is given by, Y=9.4×109 N/m2)

1. 4.55×105 cm 2. 5.45×103 cm
3. 5.45×105 cm 4. 4.55×103 cm
Subtopic:  Stress - Strain |
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A copper wire of length 2.2 m and a steel wire of length 1.6 m, both of diameter 3.0 mm, are connected end to end. When stretched by a load, the net elongation is found to be 0.70 mm. The load applied is: YC=1.1×1011 Nm2 and YS=2.0×1011 Nm2
1. 1.8×102 N
2. 1.8 N
3. 1.8×103 N
4. 18×103 N
Subtopic:  Hooke's Law |
 51%
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A structural steel rod has a radius of 10 mm and a length of 1.0 m. A 100 kN force stretches it along its length. The stress produced and the elongation in the rod, respectively, are?
(Young’s modulus of structural steel is
 2.0×1011 Nm2.)
1. 3.18×107 Nm2 and 2.59 mm
2. 3.18×108 Nm2 and 1.59 m
3. 3.18×108 Nm2 and 1.59 mm
4. 3.18×107 Nm2 and 2.59 m

Subtopic:  Hooke's Law |
 70%
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