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If two rods of length L and 2L having co...

If two rods of length L and 2L having coefficients of linear expansion `alpha` and `2alpha` respectively are connected so that total length becomes 3L, the average coefficient of linear expansion of the composite rod equals

A

`2/3alpha`

B

`5/2alpha`

C

`5/3alpha`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`LaDelta alpha+ 2L (2alpha) (Deltatheta)=(3L) (alpha_(av))Delta theta`

or `" " alpha_(av)=5/3alpha`
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DC PANDEY-THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES-Check point 14.2
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  7. A beaker is completely filled with water at 4^(@)C. It will overflow i...

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  8. A bar of iron is 10 cm at 20^(@)C. At 19^(@)C it will be (alpha of iro...

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  9. A steel tape gives corrent measurement at 20^(@)C. A piece of wood is ...

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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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