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Question

A ball of mass m and density ρ2 is completely immersed in a liquid of density ρ contained in an accelerating vessel as shown. Select the correct answer.


A
P-1; Q-3; R-2; S-4
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B
P-4; Q-1; R-2; S-3
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C
P-3; Q-4; R-2; S-1
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D
P-1; Q-4; R-3; S-2
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Solution

The correct option is A P-1; Q-3; R-2; S-4


Buoyant force on ball = 2(2mg)
Force on ball w.r.t. vessel, where Fp is peudo force on ball in frame of vessel.


Since, force on ball in frame of vessel is along upward normal to surface of liquid,ball will rise.
(P) - 1, 3, 4

Buoyant force on ball =vρ(g+g)=4mg

Force on ball w.r.t vessel


Since, force on ball in frame of vessel is along upward normal to surface of liquid, ball will rise.
(Q) - 3, 4

Buoyant force on ball =vρ(gg)=0
Force on ball w.r.t. vessel is absent.
Since, force on ball in frame of vessel is zero, ball will remain stationary.
(R) - 2


Since, acceleration of vessel is g/2 downwards. Therefore,
Buoyant force on ball=vρ(g/2)2+(g)2+2(g)(g/2)cos120=3mg
Since, force on ball in frame of vessel is along upward normal to surface of liquid, ball will rise.
(S) - 3, 4

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