Water rises upto a height x in capillary tube immersed vertically in water . When this whole arrangement is taken to a depth d in a mine , the water level rises upto a height y . If R is the radius of the earth , then the ration `x/y` is given by

Options

A. `(1- (d)/( R))`
B. `(1- (2d)/(R ))`
C. `((R-d)/(R +d))`
D. `((R+d)/(R -d))`

Answer

A

Explanation

Acceleration due to gravity changes with the depth,
` g.=g (1- (d)/(R ))`
Pressure, `P = rho gh` Hence ratio,` x/y is (1- (d)/(R ))`