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Question (31)

QN0035551

When a pressure of 100 atmosphere is applied on a spherical ball, then its volume reduces to . The bulk modulus of the material of the rubber in dyne is

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

Bulk modulus

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Question (32)

QN0035552

A uniform cube is subjected to volume compression. If each side is decreased by , then bulk strain is

(A)
0.01
(B)
0.06
(C)
0.02
(D)
0.03

Correct Answer: D

Explanation:

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Question (33)

QN0035553

The bulk moduli of ethanol, mercury and water are given as and 2.2 respectively in units of . For a given value of pressure, the fractional compression in volume is . Which of the following statements about for these three liquids is correct?

(A)
Ethanol Water Mercury
(B)
Water Ethanol Mercury
(C)
Mercury Ethanol Water
(D)
Ethanol Mercury Water

Correct Answer: A

Explanation:

Compressibility

As bulk modulus is least for ethanol ( 0.9 ) and maximum for mercury (25) among ehtanol, mercury and water. Hence compression in volume

Ethanol Water Mercury

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Question (34)

QN0035554

The Poisson's ratio of a material is 0.5 . If a force is applied to a wire of this material, there is a decrease
in the crosssectional area by . The percentage increase in the length is

(A)
(B)
(C)
(D)

Correct Answer: D

Explanation:

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Question (35)

QN0035555

A material has poisson's ratio 0.50 . If a uniform rod of it suffers a longitudinal strain of ,
then the percentage change in volume is

(A)
0.6
(B)
0.4
(C)
0.2
(D)
Zero

Correct Answer: B

Explanation:

Percentage change in volume

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Question (36)

QN0035556

The Bulk modulus of a liquid is . The pressure required to reduce the volume of liquid by is :

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

Bulk modulus,

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Question (37)

QN0035557

A rubber cord catapult has cross-sectional area and initial length of rubber cord is . It is
stretched to and then released to project a missile of mass . Taking . Velocity
of projected missile is

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

Young's modulus of rubber,

On putting the values from question,

kinetic energy potential energy of rubber

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Question (38)

QN0035558

A metallic wire of length is elongated by . Area of cross-section of the wire is . The
elastic potential energy stored in the wire in elongated condition is [young's modulus of the metallic
wire is ]

(A)
8.23
(B)
0.83
(C)
6.23
(D)
0.63

Correct Answer: B

Explanation:

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Question (39)

QN0035559

Two wires of same material having same length are suspended from a ceiling under the same load. If the
ratio of their energy stored per unit volume is , the ratio of their diameters is

(A)
(B)
(C)
(D)

Correct Answer: B

Explanation:

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Question (40)

QN0035560

When a mass is hung vertically on a light spring that obeys Hooke's law, the spring stretches by .
The work required to be done by an external agent in stretching this spring by will be

(A)
4.900 joule
(B)
2.450 joule
(C)
0.495 joule
(D)
0.245 joule

Correct Answer: B

Explanation:

Work done

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Question (31)

When a pressure of 100 atmosphere is applied on a spherical ball, then its volume reduces to . The bulk modulus of the material of the rubber in dyne is

Explanation:

Link:

Question (32)

A uniform cube is subjected to volume compression. If each side is decreased by , then bulk strain is

Explanation:

Link:

Question (33)

The bulk moduli of ethanol, mercury and water are given as and 2.2 respectively in units of . For a given value of pressure, the fractional compression in volume is . Which of the following statements about for these three liquids is correct?

Explanation:

Link:

Question (34)

The Poisson's ratio of a material is 0.5 . If a force is applied to a wire of this material, there is a decrease in the crosssectional area by . The percentage increase in the length is

Explanation:

Link:

Question (35)

A material has poisson's ratio 0.50 . If a uniform rod of it suffers a longitudinal strain of , then the percentage change in volume is

Explanation:

Link:

Question (36)

The Bulk modulus of a liquid is . The pressure required to reduce the volume of liquid by is :

Explanation:

Link:

Question (37)

A rubber cord catapult has cross-sectional area and initial length of rubber cord is . It is stretched to and then released to project a missile of mass . Taking . Velocity of projected missile is

Explanation:

Link:

Question (38)

A metallic wire of length is elongated by . Area of cross-section of the wire is . Theelastic potential energy stored in the wire in elongated condition is [young's modulus of the metallic wire is ]

Explanation:

Link:

Question (39)

Two wires of same material having same length are suspended from a ceiling under the same load. If the ratio of their energy stored per unit volume is , the ratio of their diameters is

Explanation:

Link:

Question (40)

When a mass is hung vertically on a light spring that obeys Hooke's law, the spring stretches by . The work required to be done by an external agent in stretching this spring by will be

Explanation:

Link:

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The Poisson's ratio of a material is 0.5 . If a force is applied to a wire of this material, there is a decrease
in the crosssectional area by . The percentage increase in the length is

A material has poisson's ratio 0.50 . If a uniform rod of it suffers a longitudinal strain of ,
then the percentage change in volume is

A rubber cord catapult has cross-sectional area and initial length of rubber cord is . It is
stretched to and then released to project a missile of mass . Taking . Velocity
of projected missile is

A metallic wire of length is elongated by . Area of cross-section of the wire is . The
elastic potential energy stored in the wire in elongated condition is [young's modulus of the metallic
wire is ]

Two wires of same material having same length are suspended from a ceiling under the same load. If the
ratio of their energy stored per unit volume is , the ratio of their diameters is

When a mass is hung vertically on a light spring that obeys Hooke's law, the spring stretches by .
The work required to be done by an external agent in stretching this spring by will be