Gamma Question Bank for Engineering Physics>Chapter 8 - Mechanical Properties of Solids>Assignment>Q 23

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A body of mass $M$ is attached to lower end of a metal wire whose upper end is fixed. The elongation is $I .$ The ratio of loss of gravitational potential energy to the energy stored in the wire is

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Important Questions on Mechanical Properties of Solids

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Gamma Question Bank for Engineering Physics>Chapter 8 - Mechanical Properties of Solids>Assignment>Q 24

A heavy rope is suspended from the ceiling of a room. If

ρ

is the density of the rope,

L

be its original length and

Y

be its Young's modulus, then increase

Δ L

in the length of the rope due to its own weight is

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Gamma Question Bank for Engineering Physics>Chapter 8 - Mechanical Properties of Solids>Assignment>Q 25

If $s$ is stress and

Y

is Young's modulus of material, the energy stored per unit volume is

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Gamma Question Bank for Engineering Physics>Chapter 8 - Mechanical Properties of Solids>Assignment>Q 28

A steel wire of diameter

2 mm

has a breaking strength of

4 \times 10^{5} N .

What is the breaking force of similar steel wire of diameter

1.5 mm ?

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Gamma Question Bank for Engineering Physics>Chapter 8 - Mechanical Properties of Solids>Assignment>Q 29

What is the greatest length of copper wire that can hang without breaking?

Breaking stress $= 7.2 \times 10^{7} N m^{- 2},$ Density of copper $= 7.2 g {cc}^{- 1}, g = 10 m s^{- 2}$

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Gamma Question Bank for Engineering Physics>Chapter 8 - Mechanical Properties of Solids>Assignment>Q 30

Which of the following is the graph showing stress-strain variation for elastomers?

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Gamma Question Bank for Engineering Physics>Chapter 8 - Mechanical Properties of Solids>Assignment>Q 31

A spherical ball contracts in volume by

0.01 %

when subjected to a normal uniform pressure of

100

atm. The Bulk modulus of its material is

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Gamma Question Bank for Engineering Physics>Chapter 8 - Mechanical Properties of Solids>Assignment>Q 32

Select the incorrect option

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Gamma Question Bank for Engineering Physics>Chapter 8 - Mechanical Properties of Solids>Assignment>Q 34

A student performs an experiment to determine the Young's modulus of a wire, exactly

2 m

long, by Searle's method. In a particular reading, the student measures the extension in the length of the wire to be

0.8 mm

with an uncertainty of

\pm 0.05 mm

at a load of exactly

1.0 kg .

The student also measures the diameter of the wire to be

0.4 mm

with an uncertainty of

\pm 0.01 mm .

Take

g = 9.8 m s^{- 2}

(exact). The Young's modulus obtained from the reading is