MHT CET20242 May 2024Evening ShiftPhysicsMechanical Properties of FluidsActual
A drum of radius ' R ' full of liquid of density ' d ' is rotated at angular velocity ' ' rad/s. The increase in pressure at the centre of the drum will be
Options
- A^2 R^2 d 2
- B^2 Rd 2
- CR d^2 2
- D^2 R ^2 ~d ^2 2
Correct answer
A. ^2 R^2 d 2
Step-by-step solution
aligned & P₁+ 1 2 v^2+ g h= constant ...(i) & and v=R & At centre R=0 v₁=0 ...(ii) & From (i), & P₁+ 1 2 v₁^2+ g h=P₂+ 1 2 v₁^2+ g h & P₁+0=P₂+ 1 2 v₁^2 & P₁=P₂+ 1 2 (R )^2 & P₁-P₂= ^2 R^2 d 2 ( r o m(i i) aligned