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When one end of the capillary is dippe...

When one end of the capillary is dipped in water, the height of water column is `'h'`. The upward force of 105 dyne due to surface tension is balanced by the force due to the weight of water column . The inner circumference of the capillary is
(Surface tension of water `= 7 xx 10^(-2) N//m`)

A

`1.5` cm

B

2 cm

C

`2.5` cm

D

3 cm

Text Solution

Verified by Experts

The correct Answer is:
A
Upward force due to S.t = Weight of the lifted liquid
` :' T = F/L`
` :. " Upward force " F = T xx L = T xx 2 pir`
` :. T xx 2 pir = mg`
` :. ` Inner circumference of the capillary
` = 2pir = (mg)/T = F/T `
` = (105 xx10^(-5))/(7xx10^(-2))`
` = 15 xx 10^(-3)` m
= 15 mm = 1.5 cm
` :. ` Inner circumference = 1.5 cm
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