It is given by the ratio of pressure applied to the corresponding relative decrease in the volume of the material. Mathematically, it is represented as follows: B = Δ P / ( Δ V / V ) Where: B : Bulk modulus Δ P : change of the pressure or force applied per unit area on the material Δ V : change of the volume of the material due to the compression V : Initial volume of the material.

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A bar is subjected to axial forces as shown. If $E$ is the modulus of elasticity of the bar and, $A$ is its cross-section area. Its elongation will be

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Important Questions on Mechanical Properties of Solids

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Gamma Question Bank for Medical Physics>Chapter 9 - Mechanical Properties of Solids>Assignment>Q 15

A metal ring of initial radius

r

and cross-sectional area

A

is fitted onto a wooden disc of radius

R > r

. If Young's modulus of metal is

Y

then tension in the ring is

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Gamma Question Bank for Medical Physics>Chapter 9 - Mechanical Properties of Solids>Assignment>Q 16

Two wires

A

and

B

of the same length and of the same material have the respective radii

r_{1}

and

r_{2}

. Their one end is fixed with a rigid support, and at the other end, an equal twisting couple is applied. Then the ratio of the angle of twist at the end of

A

to the angle of twist at the end of

B

will be

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Gamma Question Bank for Medical Physics>Chapter 9 - Mechanical Properties of Solids>Assignment>Q 18

The ratio of adiabatic to isothermal elasticity of a diatomic gas is

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Gamma Question Bank for Medical Physics>Chapter 9 - Mechanical Properties of Solids>Assignment>Q 20

When a small mass

m

is suspended at lower end of an elastic wire having upper end fixed with ceiling. There is loss in gravitational potential energy, let it be

x

, due to extension of wire, mark correct option

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Gamma Question Bank for Medical Physics>Chapter 9 - Mechanical Properties of Solids>Assignment>Q 21

A mild steel wire of length

2 l

meter cross-sectional area

A m^{2}

is fixed horizontally between two pillars. A small mass

m kg

is suspended from the mid point of the wire. If extension in wire are within elastic limit. Then depression at the mid point of wire will be

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Gamma Question Bank for Medical Physics>Chapter 9 - Mechanical Properties of Solids>Assignment>Q 22

A rigid bar of mass

15 kg

is supported symmetrically by three wire each of

2 m

long. These at each end are of copper and middle one is of steel. Young's modulus of elasticity for copper and steel are

110 \times 10^{9} N m^{- 2}

and

190 \times 10^{9} N m^{- 2}

respectively. If each wire is to have same tension, ratio of their diameters will be

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Gamma Question Bank for Medical Physics>Chapter 9 - Mechanical Properties of Solids>Assignment>Q 24

A metal wire having Poisson's ratio

\frac{1}{4}

and Young's modulus

8 \times 10^{10} N m^{- 2}

is stretched by a force, which produces a lateral strain of

0.02 %

in it. The elastic potential energy stored per unit volume in wire is

[in J m^{- 3}]

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Gamma Question Bank for Medical Physics>Chapter 9 - Mechanical Properties of Solids>Assignment>Q 25

Which of the following curve represents the correctly distribution of elongation

(y)

along heavy rod under its own weight

L \to

length of rod,

x \to

distance of point from lower end?

A bar is subjected to axial forces as shown. If E is the modulus of elasticity of the bar and, A is its cross-section area. Its elongation will be

Important Questions on Mechanical Properties of Solids

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A bar is subjected to axial forces as shown. If $E$ is the modulus of elasticity of the bar and, $A$ is its cross-section area. Its elongation will be