A certain liquid rises 10 cm in a capillary tube that has a radius equal to 4 mm. To what height will the same liquid rise in another tube of same material, but with half the original radius?a)5 cmb)10 cmc)20 cmd)40 cmCorrect answer is option 'C'. Can you explain this answer?

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A certain liquid rises 10 cm in a capillary tube that has a radius equal to 4 mm. To what height will the same liquid rise in another tube of same material, but with half the original radius?

a)
5 cm
b)
10 cm
c)
20 cm
d)
40 cm

Correct answer is option 'C'. Can you explain this answer?

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Verified Answer

A certain liquid rises 10 cm in a capillary tube that has a radius equ...

Height of capillary rise is given by:

where,
σ = surface tension of the fluid.
θ = angle of contact between the glass tube and the fluid
ρ = density of the fluid
r = radius of the glass tube (size)
Calculation:
Given:
Size r₁ = 4 mm, h₁ = 10 cm
Size r₂ = 2 mm, h₂ = ?
Height of capillary rise is given by:

h₁ × r₁ = h₂ × r₂
4 × 10 = h₂ × 2
∴ h₂ = 20 cm

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A certain liquid rises 10 cm in a capillary tube that has a radius equal to 4 mm. To what height will the same liquid rise in another tube of same material, but with half the original radius?a)5 cmb)10 cmc)20 cmd)40 cmCorrect answer is option 'C'. Can you explain this answer?

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