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A steel scale is correct at 0^(@)C. The ...

A steel scale is correct at `0^(@)C`. The length of a brass tube measured by it at `40^(@)C` is 4.5 m. The correct length of the tube at `0^(@)C` is (Coefficients of linear expansion of steel and brass are `11xx10^(-6)//""^(@)Cand19xx10^(-6)//""^(@)C` respectively.)

A

4.001 m

B

5.001 m

C

4.499 m

D

4.501 m

Text Solution

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The correct Answer is:
C
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A piece of copper wire has a length of 2m at 10^(@)C . Its length at 100^(@)C is (Coefficient of linear expansion of copper = 17xx10^(-6)//""^(@)C )

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An iron rod of length 50cm is joined at an end to copper rod of length 100cm at 20^(@)C . Find the length of the system at 100^(@)C and average coefficient of linear expansion of the system. (alpha_("iron")=12xx10^(-6)//""^(@)Candalpha_("copper")=17xx10^(-6)//""^(@)C.)

A thin brass sheet at 10^(@)C and a thin stell sheet at 20^(@)C have the same surface area. The common temperature at which both would have the same area is (coefficient of liner expansion for brass and steel are respectively 19xx10^(-6//@)C and 11xx10^(-6//@)C) .

AAKASH SERIES-THERMAL PROPERTIES OF MATTER-EXERCISE-2
  1. A piece of steel has a length of 30 cm at 15^(@)C. At 90^(@)C its leng...

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  2. The density of lead at 0^(@)C is 11.34g//cm^(3). The density of lead a...

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  3. A steel scale is correct at 0^(@)C. The length of a brass tube measure...

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  4. A clock , with a brass pendulum, keeps correct time at 20^(@)C, but lo...

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  5. A steel rod of length 1 m rests on a smooth horizontal base. If it is ...

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  6. A steel ball initially at a pressure of 1.0xx10^(5) Pa is heated from ...

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  7. A vessel is half filled with a liquid at 0^(@)C. When the vessel is he...

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  8. A liquid column of height 80 cm at 0^(@)C balances the same liquid of ...

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  9. gamma(A) of liquid is 7/8 of gamma(R) of liquid. alpha(g) of vessel is

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  10. Coefficient of real expansion of a liquid is 0.000182//""^(@)C. If coe...

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  11. Co-efficient of apparent expansions of a liquid in Gold vessel is G an...

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  12. A liquid occupies half of a vessel at a particular temperature. The vo...

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  13. Densities of a liquid at 30^(@)Cand80^(@)C are 0.6gm/c.c and 0.54 gm/c...

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  14. The value of coefficient of volume expansion of glycerine is 5xx10^(-4...

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  15. A barometer with a brass scale correct at 0^(@)C reads 70 cm of mercur...

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  16. The density of a liquid of coefficient of cubical expansion gamma" is ...

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  17. The apparent change in volume of a liquid per 100^(@)C is 8%. Then coe...

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  18. If the coefficient of real expansion gamma(r) is 1% more then coeffici...

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  19. The volume of a gas at 20^(@)C is 100 CC at normal pressure when it is...

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  20. If a given mass of a gas occupies a volume 100 cc at one atmospheric p...

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