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

Pressure `P=pgx`
Acceleration due to gravity change with the depth
`g.=g(1-d/R)`
Presure `P=p g(1-d/R)y`
`pgx=pg(1-d/R)y`
`rArr x/y=(1-d/R)`