Engineering

Physics

Question

A hollow sphere is completely filled with a liquid having a density ρ (The radius of sphere is R). now sphere is pulled with a constant horizontal acceleration a_x = g on a horizontal surface. Take centre of sphere as origin of co-ordinate system as shown in the figure.

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

JEE Advance

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

Linked Question 1

If minimum pressure is P₀, what is the pressure at the centre of the sphere ?

A

P₀ + 2ρRg

B

P₀ + ρgR

C

P₀

D

$P_{0} + \sqrt{2} ρgR$

$P = P_{0} + {ρg}_{eff} h$

$P = P_{0} + ρ \sqrt{2 g} R$

Linked Question 2

Co-ordinate of point having minimum pressure is

A

$\frac{R}{\sqrt{2}}, \frac{R}{\sqrt{2}}$

B

$\frac{R}{2}, \frac{R}{2}$

C

$\frac{- R}{2}, \frac{- R}{2}$

D

$\frac{- R}{\sqrt{2}}, \frac{- R}{\sqrt{2}}$

equipress line are inclined at an angle of 45° with vertical and pressure increases from A to B.
Hence pressure in minimum at A.