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The graph between two temperature scales...

The graph between two temperature scales A and B is shown in figure. Between upper fixed point and lower fixed point there are 150 equal division on A and 100 on scale B. The relationship for conversion between the two scales is given by

A

`(t_(A)-180)/(100)=(t_(B))/(150)`

B

`(t_(A)-30)/(150)=(t_(B))/(100)`

C

`(T_(B)-180)/(150)=(t_(A))/(100)`

D

`(t_(B)-40)/(100)=(t_(A))/(180)`

Text Solution

Verified by Experts

The correct Answer is:
B
From graph, least point on scale A is `30^(@)C` and peak point is `180^(@)`. For scale B, least point is `0^(@)` and peak point is `100^(@)`.
`:.` Relation for conversion of temperature of two scales,
`(t_(A)-A" least point on A")/("No. of marks on A")=(t_(B)-B" least point on B")/("No. of marks on B")`
`(t_(A)-30)/(150)=(t_(B)-0)/(100)`
`:.(t_(A)-30)/(150)=(t_(B))/(100)`
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