Properties Of Solids And Liquids Question 382

Question: A thin metal disc of radius r floats on water surface and bends the surface downwards along the perimeter making an angle q with vertical edge of the disc. If the disc displaces a weight of water W and surface tension of water is T, then the weight of metal disc is[AMU (Med.) 1999]

Options:

A) 2πrT+W

B) 2πrTcosθW

C) Math input error

D) W2πrTcosθ

Show Answer

Answer:

Correct Answer: C

Solution:

Weight of metal disc = total upward force = upthrust force + force due to surface tension = weight of displaced water +Tcosθ(2πr)

=W+2πrTcosθ



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