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Question

In a given scale X, the ice point is 40 X and the steam point is 120 X. For another scale Y, the ice point and steam point are 30 Y and 130 Y respectively. If X reads 50 X 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 X
Steam point, TsX=120 X
For scale Y,
Ice point, TiY=30 Y
Steam point, TsY=130 Y

Reading in scale X of temperature of the body, TX=50 X
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 Y

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