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The length $L$ of a metallic wire of Young’s modulus $Y$ increases by $l$ on loading it by some weight. The potential energy stored in the wire per unit volume is :

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Important Questions on Elasticity

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11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 18 - Elasticity>FOR DIFFERENT COMPETITIVE EXAMINATIONS>Q 22

A wire suspended vertically from one of its ends is stretched by attaching a weight of

200 N

to the lower end. The weight stretches the wire by

1 mm

. Then elastic potential energy stored in the wire is :

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ISC Physics Class XI Part 1>Chapter 18 - Elasticity>FOR DIFFERENT COMPETITIVE EXAMINATIONS>Q 23

A wire fixed at the upper end stretched by the length

l

by applying a force

F

. The work done in stretching is :

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ISC Physics Class XI Part 1>Chapter 18 - Elasticity>FOR DIFFERENT COMPETITIVE EXAMINATIONS>Q 24

The potential energy of a long spring stretched by

2 c m

U

. When stretched by

10 cm

, the potential energy of the spring will be :

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ISC Physics Class XI Part 1>Chapter 18 - Elasticity>FOR DIFFERENT COMPETITIVE EXAMINATIONS>Q 25

A uniform metal rod of

2 {mm}^{2}

cross-section is heated from

0 ° C

20 ° C

. The coefficient of linear expansion of the rod is

12 x 10^{- 6} ° C^{- 1}

. It's Young’s modulus of elasticity is

10^{11} N m^{- 2}

. The energy stored per unit volume of the rod is :

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ISC Physics Class XI Part 1>Chapter 18 - Elasticity>FOR DIFFERENT COMPETITIVE EXAMINATIONS>Q 26

A metallic bar is heated from

0 ° C

100 ° C

. If this bar is so held that it can neither expand nor bend, then the force developed is :

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ISC Physics Class XI Part 1>Chapter 18 - Elasticity>FOR DIFFERENT COMPETITIVE EXAMINATIONS>Q 27

An iron bar of length

1.0 m

and cross-section

1.0 {cm}^{2}

is heated from

0 ° C

100 ° C

and is so held that it can neither expand nor bend. If

α = 10^{- 5} ° C^{- 1}

and

Y = 10^{11} N m^{- 2}

, then the force developed is:

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ISC Physics Class XI Part 1>Chapter 18 - Elasticity>FOR DIFFERENT COMPETITIVE EXAMINATIONS>Q 28

Two rods of different materials having coefficients of linear expansion

α_{1}, α_{2}

and Young’s moduli

Y_{1}, Y_{2}

respectively are fixed between two rigid massive walls. The rods are heated such that they undergo the same increase in temperature. There is no bending of the rods. If

α_{1} : α_{2} = 2 : 3

the thermal stresses developed in the two rods are equal, provided

Y_{1} : Y_{2}

is equal to :

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11th ICSE

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ISC Physics Class XI Part 1>Chapter 18 - Elasticity>FOR DIFFERENT COMPETITIVE EXAMINATIONS>Q 29

A wooden wheel of radius $R$ is made of two semi-circular parts (see figure). The two parts are held together by a ring made of a metal strip of cross-sectional area $A$ and length $L$ . $L$ is slightly less than $2 n R$ . To fit the ring on the wheel, it is heated so that its temperature rises by $∆ T$ and it just steps over the wheel. As it cools down to the surrounding temperature, it presses the semi-circular parts together. If the coefficient of linear expansion of the metal is a and it's Young’s modulus is $Y$ , the force that one part of the wheel applies on the other part is :

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The length L of a metallic wire of Young’s modulus Y increases by l on loading it by some weight. The potential energy stored in the wire per unit volume is :

Important Questions on Elasticity

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The length $L$ of a metallic wire of Young’s modulus $Y$ increases by $l$ on loading it by some weight. The potential energy stored in the wire per unit volume is :