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A scientist proposes a new temperature s...

A scientist proposes a new temperature scale in which the ice point is 25X (X is the new unit of temperature) and the steam point is 305X. The specific heat capacity of water in this new scale is (in `J*kg^(-1)*X^(-1))`

A

`4.2 times 10^(3)`

B

`3.0 times 10^(3)`

C

`1.2 times 10^(3)`

D

`1.5 times 10^(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
`(305-25)X=100^(@)C` or, `1^(@)C=2.8 X`
Hence, specific heat of water
`=4200 J/(kg*^(@)C)=4200/(2.8)J*kg^(-1)*X^(-1)`
`=1.5 times 10^(3)J*kg^(-1)*X^(-1)`
The option (d) is correct
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Knowledge Check

  • A scientist proposes a new temperature scale in which the ice point 25 X ( X is the new temperature ) and the steam point is 305 X. The specific heat capacity of water in this new scale is (in JKg^(-1)X^(-1) )

    A
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    B
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    C
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    D
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    A
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    C
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    D
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