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A steel rod of diamerer 1 am is clamped ...

A steel rod of diamerer 1 am is clamped firmly at each end when its temperature is `25^(@)C` so that it cannot contract on cooling The tension in the rod at `0^(@)C` is approximately
`(alpha=10^(-5)//^(@)C,Y=2xx10^(11)Nm^(-2))`

A

4000 N

B

7000 N

C

7400 N

D

4700 N

Text Solution

Verified by Experts

The correct Answer is:
A
Strain `=(Deltal)/l=alphaDelta theta`
Strss = Y xx strain = Y `alpha Delta theta`
`therefore` Force or tension, T = stress xx are = YA `alpha Delta theta`
`" " =(piYalphad^(2)Deltatheta)/4(A=(pid^(2))/4)`
or `" " T=(pi xx 2 xx 10^(11) xx 10^(-5) xx 10^(-4) xx25)/(=3926N~~400N)`
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DC PANDEY-THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES-Check point 14.2
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  10. Two rods of length l(1) and l(2) are made of material whose coefficien...

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  11. The radius of a ring is R and its coefficient of linear expansion is a...

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  12. If two rods of length L and 2L having coefficients of linear expansion...

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  13. A metal rod of silver at 0^(@)C is heated to 100^(@)C . It's length is...

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  14. A uniform metal rod is used as a bar pendulum. If the room temperature...

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  15. Two rods of different materials having coefficient of thermal expansio...

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  16. Coefficient of volume expansion of mercury is 0.18xx10^(-3)//.^(@)C. I...

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  17. A glass flask of volume 200cm^(3) is just filled with mercury at 20^(@...

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  18. Solids expand on heating because

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  19. The coefficient of linear expansion of crystal in one direction is alp...

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  20. A steel rod of diamerer 1 am is clamped firmly at each end when its te...

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