Question

Let T represent the true weight of a body, B the force of buoyancy on the body when immersed in a liquid. A the apparent weight of the body and W the weight twice the volume of liquid displaced by the solid, then which of the following relation is/are valid?

• A. T = B - A
• B. T - B = A + W
• C. T = B + A - W
• D. T - A = W - B

Answer 1

Answer: (D)

T - A = W - B

Apparent weight of a body immersed in a liquid $=$ True weight - Buoyancy force

$\therefore$ $A=T-B$

OR $A=T-2B+B$ .............(1)

Also Buoyancy force is equal to the weight of liquid displaced.

$⟹$ $W=2B$ .............(2)

Using (1) and (2) we get $A=T-W+B$

$⟹$ $T-A=W-B$