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A block of density 2000 kg//m^(3) and ma...

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.

A

The elongation of the spring is 1 m

B

the magnitude of buoyant force acting on the block is 25 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

Text Solution

Verified by Experts

The correct Answer is:
C
`Kx=V(2000)(10)-V(1000) (10)`
`=10/2000[1000xx10]`
Kx=50N ....(b)
`U_("Stored")=1/2xx(100)(50/100)^(2)=1/2xx2500/100=12.5 J`
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