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 ± 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 ± 0 . 01 mm . Take g = 9 . 8 m s – 2 (exact). The Young's modulus obtained from the reading is

( 2 . 0 ± 0 . 2 ) × 10 11 N m – 2

( 2 . 0 ± 0 . 3 ) × 10 11 N m – 2

( 2 . 0 ± 0 . 1 ) × 10 11 N m – 2

( 2 . 0 ± 0 . 05 ) × 10 11 N m – 2

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

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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 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

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Gamma Question Bank for Engineering Physics>Chapter 8 - Mechanical Properties of Solids>Assignment>Q 41

A steel wire

4.0 m

in length is stretched through

2.0 mm .

The cross-sectional area of the wire is

2.0 {mm}^{2} .

If Young's modulus of steel is

2.0 \times 10^{11} N m^{- 2}

then elastic potential energy stored per unit volume is

N \times 10^{3} J m^{- 3},

then

N

is _____.

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Gamma Question Bank for Engineering Physics>Chapter 8 - Mechanical Properties of Solids>Assignment>Q 42

For a given material, the Young's modulus is

2.4

times its modulus of rigidity. Its Poisson's ratio is _____.

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Gamma Question Bank for Engineering Physics>Chapter 8 - Mechanical Properties of Solids>Assignment>Q 2

A uniform rod of mass

m

, length

L

, area of cross section

A

is rotated about an axis passing through one of its ends and perpendicular to its length with constant angular velocity

ω

in a horizontal plane. If

Y

is the Young's modulus of the material of the rod, the increase in its length due to rotation of rod is

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Gamma Question Bank for Engineering Physics>Chapter 8 - Mechanical Properties of Solids>Assignment>Q 4

A circular wire of radius $R$ , placed on a horizontal surface is made to rotate about a fixed vertical axis passing through its center as shown. If breaking stress of the material of wire is $S_{0}$ , then find maximum value of $ω$ so that wire does not break (Cross-sectional area of wire is $A, λ$ is the linear mass density of wire)

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Gamma Question Bank for Engineering Physics>Chapter 8 - Mechanical Properties of Solids>Assignment>Q 5

Consider an arrangement shown in the diagram which is combination of two rods (1) and (2). Their length, cross-sectional area and Young's modulus are shown in diagram. If force $F_{0}$ is applied at end $Q$ of rod (2), then total elongation of combined system is $[$ $P$ is the common end of rod (1) and (2) $]$

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

Important Questions on Mechanical Properties of Solids

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