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There is formation of layer of snow x cm...

There is formation of layer of snow x cm thick on water, when the temperature of air is `-theta^(@)C` (less than freezing point). The thickness of layer increases from x to y in the time r, then the value of t is given by

A

`((x+y)(x-y)rho L)/(2k theta)`

B

`((x-y)rho L)/(2k theta)`

C

`((x+y)(x-y)rho L)/(k theta)`

D

`((x-y)rho Lk)/(2 theta)`

Text Solution

Verified by Experts

The correct Answer is:
A
Since, t= `(rho L)/(2k theta)(x_2^2-x_1^2)`
`therefore t=(rhoL)/(2k theta)(x^2-y^2)=(rho L (x+y)(x-y))/(2K theta)`
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