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A ball of density rho is dropped from a ...

A ball of density `rho` is dropped from a height on the suraca of a non-visous liquid of dinsity `2rho`. Choose the correct options.

A

Motion of ball is periodic but not simple harmonic

B

Acceleration of ball in air and in liquid are equal

C

Magnitude of upthrust in the liquid is two times the weight of ball

D

Net force on ball in air and in liquid are equal and opposite,

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
In air, `a_(1)=g` (downwards)
In liquid, `a_(2) =("upthrust-weight")/("mass")`
`=((V)(2 rho)(g)-(V)(rho)(g))/((V_(rho))`
`=g`(upwards)`
`:. a_(1)!=a_(2)`.
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