A spherical marble of radius $1\, cm$ is stuck in a circular hole of radius slightly smaller than its own radius (for calculation purpose, both can be taken same) at the bottom of a bucket of height $40 \,cm$ and filled with water up to $10 \,cm$. If the mass of the marble is $20 \,g$, then the net force on the marble due to water is close to
KVPY 2017, Diffcult
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(D)
Force due pressure of water on marble is
$F =\rho g h A =1000 \times 10 \times\left(10 \times 10^{-2}\right) \times \pi \times\left(1 \times 10^{-2}\right)^2=0.31 \,N$
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