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
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
P-4; Q-1; R-2; S-3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
P-3; Q-4; R-2; S-1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
P-1; Q-4; R-3; S-2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
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(g−g)=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

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Viscosity
PHYSICS
Watch in App
Explore more
Join BYJU'S Learning Program