MHT CET202411 May 2024Evening ShiftPhysicsMechanical Properties of FluidsActual
A lead sphere of mass ' m ' falls in viscous liquid with terminal velocity V ₀ . Another lead sphere of mass ' 8 m ' but of same material will fall through the same liquid with terminal velocity
Options
- AV ₀
- B8 ~V ₀
- C4 ~V ₀
- D64 ~V ₀
Correct answer
C. 4 ~V ₀
Step-by-step solution
The formula for terminal velocity for a spherical body V= 2 g( - ) r^2 2 If mass is made 8 times, material being same volume also becomes 8 times density is same. So, radius of sphere becomes twice. The new terminal velocity aligned & V₀ V₂ = ( r₁ r₂ )^2 & V₀ V₂ = ( I 2 )^2 & V₂=4 V_ aligned