A block of density `2000 kg//m^(3)` and mass 10 kg is suspended by a spring of force constant `100 N//m`. The other end of the spring is attached to a fixed support. The block is completely submerged in a liquid of density `1000 kg//m^(3)`. If the block is in equilibrium position.

Options

A. the elongation of the spring is 1 cm
B. the magnitude of buoyant force acting on the block is 50 N
C. the spring potential energy is 12.5 J
D. magnitude of spring force on the block is greater than the weight of the block

Explanation

Kx=V(2000)(10)-V(1000)(10)
`=10/20000[1000xx10]`
`Kx=50 N....(b)`
`U_("stored")=1/2 xx(100)(50/100)^(2)=1/2xx2500/100=12.5 J`