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

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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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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 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

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

A sphere contracts in volume by

0.01 %

when taken to the bottom of sea

1 km

deep. Find Bulk modulus of the material of sphere

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Gamma Question Bank for Medical Physics>Chapter 9 - Mechanical Properties of Solids>Assignment>Q 10

A solid cube of copper of edge

10 cm

subjected to a hydraulic pressure of

7 \times 10^{6} Pa

. If Bulk modulus of copper is

140 GPa

, then contraction in its volume will be

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Gamma Question Bank for Medical Physics>Chapter 9 - Mechanical Properties of Solids>Assignment>Q 11

Three bars having length

l, 2 l

and

3 l

and area of cross-section

A, 2 A

and

3 A

are joined rigidly end to end. Compound rod is subjected to a stretching force

F

. The increase in length of rod is (Young's modulus of material is

Y

and bars are massless)

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Gamma Question Bank for Medical Physics>Chapter 9 - Mechanical Properties of Solids>Assignment>Q 12

An ideal gas has adiabatic exponent $\gamma$. It contracts according to the law

P V = α

, where

α

is a positive constant. For this process, the Bulk modulus of the gas is