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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Total elastic potential energy stored in a stretched wire of length $l$ , cross-sectional area $A$ and Young's modulus $Y$ fixed at one end is

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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 1

Two equal and opposite forces each of magnitude $F$ is applied along a rod of transverse sectional area $A$ . The normal stress to a section $P Q$ inclined $θ$ to transverse section is

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Gamma Question Bank for Medical Physics>Chapter 9 - Mechanical Properties of Solids>Assignment>Q 2

A vertical hanging bar of length

l

and mass

m

per unit length carries a load of mass

M

at lower end, its upper end is clamped to a rigid support. The tensile stress at a distance

x

from support is (

A \to

area of cross-section of bar)

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Gamma Question Bank for Medical Physics>Chapter 9 - Mechanical Properties of Solids>Assignment>Q 3

A wire of length

5 m

is twisted through

30 °

at free end. If the radius of wire is

1 mm

, the shearing strain in the wire is

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Gamma Question Bank for Medical Physics>Chapter 9 - Mechanical Properties of Solids>Assignment>Q 4

One end of a uniform wire of length

L

and of weight

W

is attached rigidly to a point in the roof and a weight

W_{1}

is suspended from its lower end. If

A

is the area of cross-section of the wire, the stress in the wire at a height

\frac{3 L}{4}

from its lower end is

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Gamma Question Bank for Medical Physics>Chapter 9 - Mechanical Properties of Solids>Assignment>Q 5

What is called the ratio of the breaking stress and the working stress?

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Gamma Question Bank for Medical Physics>Chapter 9 - Mechanical Properties of Solids>Assignment>Q 6

Two wires of equal length and cross-sectional area are suspended as shown in figure. Their Young's modulii are $Y_{1}$ and $Y_{2}$ respectively. The equivalent Young's modulii will be

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Gamma Question Bank for Medical Physics>Chapter 9 - Mechanical Properties of Solids>Assignment>Q 7

A uniform rod of length

L

has a mass per unit length

λ

and area of cross-section

A .

If the Young's modulus of the rod is

Y

. Then elongation in the rod due to its own weight is

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Gamma Question Bank for Medical Physics>Chapter 9 - Mechanical Properties of Solids>Assignment>Q 8

A solid sphere of radius

R

made of a material of bulk modulus

B

surrounded by a liquid in a cylindrical container. A massless piston of area

A

floats on the surface of the liquid. Find the fractional decrease in the radius of the sphere

(\frac{Δ R}{R})

when a mass

M

is placed on the piston to compress the liquid

Total elastic potential energy stored in a stretched wire of length l, cross-sectional area A and Young's modulus Y fixed at one end is

Important Questions on Mechanical Properties of Solids

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Total elastic potential energy stored in a stretched wire of length $l$ , cross-sectional area $A$ and Young's modulus $Y$ fixed at one end is