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At 20^(@)C a liquid is filled upto 10 cm...

At `20^(@)C` a liquid is filled upto `10` cm height in a container of glass of length `20` cm and cross-sectional area `100 cm^(2)` . Scale is marked on the surface of container. This scale gives correct reading at `20^(@)C` . Given `gamma_(L) = 5 xx 10 ^(-5) k^(-1) , alpha^(g) = 1 xx 10^(-5) "^(@)C^(-1)`

The actual height of liquid at `40^(@)C` is -

A

`10.002` cm

B

`10.001`cm

C

`10.03` cm

D

`10.006` cm

Text Solution

Verified by Experts

The correct Answer is:
B
`V= V_(0) (1+gamma_(L)DeltaT) = (10)(100) [1+5 xx 10^(-5) xx 20`] = `1000(1+0.001) = 1001cm^(3)= 1001` cc
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