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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

`10.01`cm

B

`10.004` cm

C

`10.006`cm

D

`10.04`cm

Text Solution

Verified by Experts

The correct Answer is:
B
`because TV = SR(1+alpha_(g)DeltaT)`
` therefore SR = (TV) (1+alpha_(g)DeltaT)^(-1) = (TV) (1-alpha_(g)Delta) = (10.006) (1 - 10^(-5) xx 20) = 10.006 -0.002 = 10.004` cm
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