A straw of circular cross-section of radius R | vedclass

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Question

(B) The force due to surface tension acting on the straw is given by the formula $F = T \cdot L \cdot \cos 	heta$, where $L$ is the length of the lin

Vedclass · Accepted Answer

$\frac{6 \pi R T}{5}$

Vedclass · Answer

(B) The force due to surface tension acting on the straw is given by the formula $F = T \cdot L \cdot \cos 	heta$, where $L$ is the length of the line of contact.For a circular straw of radius $R$, the circumference is $L = 2 \pi R$.The contact angle is $	heta = 53^{\circ}$.Given $\cos 53^{\circ} = 0.6 = \frac{3}{5}$.Substituting these values into the force equation:$F = T \cdot (2 \pi R) \cdot \cos 53^{\circ}$$F = T \cdot 2 \pi R \cdot \frac{3}{5}$$F = \frac{6 \pi R T}{5}$.Thus, the correct option is $B$.

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