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Question

In a given scale X, the ice point is 40 C and the steam point is 120 C. For another scale Y, the ice point and steam point are 30 C and 130 C respectively. If X reads 50 C temperature of a body, then Y would read

A
5 C
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B
8 C
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C
10 C
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D
12 C
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Solution

The correct option is C 10 C
Given:
For scale X,
Ice point, TiX=40 C
Steam point, TsX=120 C
For scale Y,
Ice point, TiY=30 C
Steam point, TsY=130 C

Reading in scale X of temperature of the body, TX=50 C
To find: Reading in scale Y of temperature of the body, TY=?
We know relation between any two scales are given by -
TXTiXTsXTiX=TYTiYTsYTiY
TX4012040=TY(30)130(30)
504080=TY+30160
TY=10 C

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