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In a capillary tube of radius 'R' a stra...

In a capillary tube of radius 'R' a straight thin metal wire of radius ' r ' `(R gt r)` is inserted symmetrically and one end of the combination is at the same level . The rise of water in the capillary tube is

A

`T/((R+r)rhog)`

B

`(Rrhog)/(2T)`

C

`(2T)/((R-r)rhog)`

D

`((R-r)rhog)/T`

Text Solution

Verified by Experts

The correct Answer is:
C
For water , `T = (Rhrhog)/2 " " :. h = (2T)/(Rrhog)" "` …(1)
But in this case , due to insertion of the wire of radius , in the capillary tube, the effective radius becomes `(R-r)`
` :. " from " (1) , h = (2T)/((R-r)rhog)`
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