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An aluminium rod (coefficient of linear ...

An aluminium rod (coefficient of linear expansion `alpha_(1)`) of length `l_(1) " at " 0^(@)C` is welded with a steel rod (coefficient of linear expansion `alpha_(2)`) of length `l_(2)` to form a composite rod of length `(l_(1)+l_(2))`. If, when heated through `t^(@)C`, each rod increases in length by the same amount, then the value of `l_(1)/(l_(1)+l_(2))` will be

A

`alpha_(1)/alpha_(2)`

B

`alpha_(2)/alpha_(1)`

C

`alpha_(1)/(alpha_(1)+alpha_(2))`

D

`alpha_(2)/(alpha_(1)+alpha_(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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CHHAYA PUBLICATION-EXPANSION OF SOLIDS AND LIQUIDS-EXERCISE - MULTIPLE CHOICE QUESTIONS
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  2. A brass disc just fits inside the hole of an iron plate. To loosen the...

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  3. An aluminium rod (coefficient of linear expansion alpha(1)) of length ...

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  4. Coefficient of linear expansion of brass is 19 times 10^(-6@)C^(-1). I...

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  5. The length of each steel rail of a line at 10^(@)C is 25 m. What gap s...

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  6. Two similar iron and copper strips are riveted together at 20^(@)C. Wh...

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  7. In which of the following cases a bimetallic strip is not used?

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  8. The length of a brass rod is to be measured at different temperatures....

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  9. Young's modulus for the material of a rod is Y and its coefficient of ...

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  10. Two rods of the same length are kept in between two rigid supports and...

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  11. When the temperature of a metallic sphere is increased by 40^(@)C then...

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  12. The ratio of the lengths of two metallic rods is 2:3 and the ratio of ...

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  13. A steel scale gives correct reading at t(1)""^(@)C. With the help of t...

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  14. Two spheres of the same material have the same radius but one is hollo...

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  15. When a rod is heated but prevented from expanding the stress developed...

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  16. At some temperature T, a bronze pin is a little large fit into a hole ...

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  17. When water is heated from 0^(@)C " to " 50^(@)C, density of water

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  18. Due to anomalous expansion of water from 0^(@)C " to " 4^(@)C, in cold...

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  19. The relation between real and apparent expansion of a liquid is

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  20. How many coefficients of expansion of a liquid is used in practice?

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