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

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A metallic bar is heated from $0 ° C$ to $100 ° C$ . If this bar is so held that it can neither expand nor bend, then the force developed is :

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Important Questions on Elasticity

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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

to

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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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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ISC Physics Class XI Part 1>Chapter 18 - Elasticity>FOR DIFFERENT COMPETITIVE EXAMINATIONS>Q 30

The coefficient of linear expansion and Young’s modulus of copper are respectively

1.5

times and

0.5

times those of iron. The ratio of the forces developed in copper and iron bars of identical lengths and cross-sections and held fixed, when heated through the same range of temperature, is :