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A glass rod of radius 1 mm is inserted s...

A glass rod of radius `1 mm` is inserted symmetrically into a glass capillary tube with inside radius `2 mm`. Then the whole arrangement is brought in contact with the surface of water. Surface tension of water is `7 xx 10^(-2) N//m`. To what height will the water rise in the capillary? (`theta = 0^@`)

A

1.4 cm

B

4.2 cm

C

2.1 cm

D

6.8 cm

Text Solution

Verified by Experts

The correct Answer is:
A
`DeltaP=(sigma)/(r)," "r=((2-1))/(2)=(1)/(2)mm," "DeltaP=7xx10^(-2)((1)/(0.5xx10^(-3)))=(7xx10^(-2)xx10^(3))/(0.5)=(70)/(0.5)=140`
`DeltaP` must be equal to `rhoghRightarrowDeltaP=rhoghRightarrow140=10^(3)xx10xxh,h=(140)/(10^4)=0.014m`, Hence, 1.4 cm
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