The force necessary to pull a circular plate | vedclass

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Question

(D) The surface tension $T$ acts along the circumference of the circular plate.When pulling the plate from the water surface,the force $F$ required to

Vedclass · Accepted Answer

$750\pi\, dynes$

Vedclass · Answer

(D) The surface tension $T$ acts along the circumference of the circular plate.When pulling the plate from the water surface,the force $F$ required to overcome the surface tension is given by the formula $F = T 	imes L$,where $L$ is the effective length of the contact.For a circular plate,the circumference is $L = 2\pi R$.Given: Radius $R = 5\, cm$ and Surface Tension $T = 75\, dynes/cm$.Substituting the values: $F = 75 	imes (2 	imes \pi 	imes 5)$.$F = 75 	imes 10\pi = 750\pi\, dynes$.Therefore,the correct option is $D$.

The force necessary to pull a circular plate of $5\, cm$ radius from a water surface,for which the surface tension is $75\, dynes/cm$,is

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