## Question

### Solution

Correct option is

Volume of the block . Now upthrust = weight of water displaced = weight of volume  of liquid = mass of volume . This is the upward force on the block due to buoyancy. The downward force on the block = its weight = mg. The tension in the string is the net upward force on the block which is

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#### SIMILAR QUESTIONS

Q1

If the air bubble is formed at a depth h inside the container of soap solution of density , the total pressure inside the bubble is (here P0denotes the atmospheric pressure)

Q2

A small drop of water of surface tension  is squeezed between two clean glass plates so that a thin layer of thickness d and area A is formed between them. If the angle of contact is zero, the force required to pull the plates apart is

Q3

Eight drop of water, each of radius r, coalesce to form a single big drop. The energy released is used up in raising the temperature of the big drop. If is the surface tension of water and  its density and J the mechanical equivalent of heat (all expressed in SI units), the rise in the temperature of the drop is

Q4

Water rises to a height h in a capillary tube of area of cross-section a. To what height will water rise in a capillary tube of area of cross-section 4a?

Q5

A metal sphere of volume V, having a cavity inside it, floats on water completely submerged. If the relative density of the metal is 1.5, the volume of the cavity is

Q6

The terminal velocity of a tiny brass sphere of radius r falling in a viscous liquid is vr. What will be the terminal velocity of a brass sphere of radius 2rfalling in the same liquid.

Q7

A spherical small ball of density  is gently released in a liquid of density . The initial acceleration of the free fall of the ball will be

Q8

A cylinder has a radius r. To what height h should it be filled with water so that the thrust on its walls is equal to that on its bottom?

Q9

The time period of a simple pendulum is T. The pendulum is oscillated with its bob immersed in a liquid of density . If the density of the bob is  and viscous effect is neglected, the time period of the pendulum will be

Q10

A wooden ball of density  is released from the bottom of a tank which is filled with a liquid of density  up to a height h1. The ball rises in the liquid, emerges from its surface and attains a height h2 in air. If viscous effects are neglected, the ratio h2/h1 is