Question

Density of liquid varies with depth as $\rho$ = $\alpha h$. A small ball of density ${\rho }_0$ is released from the free surface of the liquid. Then

• A. the ball will execute SHM of amplitude ${\rho }_0/\alpha$
• B. the mean position of the ball will be at a depth ${\rho }_0/2\alpha$ from the free surface.
• C. the ball will sink to a maximum depth of $2{\rho }_0/\alpha$
• D. all of the above

Answer 1

Answer: (A), (C)

The correct options are
A the ball will execute SHM of amplitude ${\rho }_0/\alpha$
C the ball will sink to a maximum depth of $2{\rho }_0/\alpha$