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The radius of the biggest metal coin of ...

The radius of the biggest metal coin of thickness t and density `rho` which would be able to float on water surface of surface of water is `rho`

A

`(S)/(2rho"gt")`

B

`(S)/(rho"gt")`

C

`(2S)/(rho"gt")`

D

`(4S)/(3rho"gt")`

Text Solution

Verified by Experts

(c) For the biggest coin, the force due to surface tension shall be vertical `(i.e.theta=0)`
`:.` Upward force exerted on the coin at the verge of its sinking
`F=(S) xx(2pir)" " ("r=radius of coin" )`
Now, " " F=weight of coin
`:. " " Sxx2pir=pit^(2)tauxxrhogrArrr=(2S)/(rho"gt")`
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