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The following observations were taken fo...

The following observations were taken for dtermining the surface tension of water by capillary tube method: diameter of capillary , `D = 1.25 xx 10^(-2) m` and rise of water in capillary , `h = 1.45 xx 10^(-2) m`. Taking ` g = 9.80 m s^(-2)` and using the relation `T = ( r gh//2) xx 10^(3) N m^(-1)`, what is the possible error in measurement of surface tension `T`?
(a) `2.4%` (b) `15%` (c) `1.6%` (d) 0.15%`

Text Solution

Verified by Experts

( c ) Percentage error in `T`
`( Delta T)/( T)% = ( Delta r)/( r ) % + ( Delta h )/( h) %`
`= ( 0.01)/(1.25) xx 100 + ( 0.01)/(9.80) xx 100 + ( 0.01)/( 1.45) xx 100 `
`= 0.8 + 0.1 + 0.7 = 1.6%`
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