Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202315 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
15 April
Shift
Morning Shift
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Main 2023 · 15 April · Morning Shift · Physics · Mechanical Properties of Fluids

There is an air bubble of radius 1 . 0mm in a liquid of surface...

There is an air bubble of radius 1.0mm1 . 0mm in a liquid of surface tension 0.075Nm–10 . 075N{m}^{– 1} and density 1000kgm–31000kg{m}^{– 3} at a depth of 10cm10cm below the free surface. The amount by which the pressure inside the bubble is greater than the atmospheric pressure is _______ Pa(g=10ms−2)Pa\left(g = 10m{s}^{- 2}\right).

Correct answer

0

Step-by-step solution

The pressure inside the bubble is given by

\DeltaP=P−P0=ρgh+2Tr\DeltaP = P - {P}_{0} = ρgh + \dfrac{2T}{r}

The data given is

r=10−3mT=0.075Nm−1ρ=1000kgm−3h=10cmr = {10}^{- 3}mT = 0 . 075N{m}^{- 1}ρ = 1000kg{m}^{- 3}h = 10cm

Therefore, the pressure in the bubble is

\DeltaP=(1000×10×10×10−2)+2×0.07510−3=1000+150=1150Pa\DeltaP = \left(1000 \times 10 \times 10 \times {10}^{- 2}\right) + \dfrac{2 \times 0 . 075}{{10}^{- 3}} = 1000 + 150 = 1150Pa

Practice Mechanical Properties of Fluids on Quantrex Academy →

More from Mechanical Properties of Fluids

Passage: A container of height 2 m, length 2 m and breadth 1 m is made of insulating… JEE Advanced 2026A liquid of density 600 kg/m ^3 flowing steadily in a tube of varying cross-section. The… JEE Main 2026A spherical liquid drop of radius R acquires the terminal velocity v_1 when falls through… JEE Main 2026A cylindrical vessel of 40 cm radius is completely filled with water and its capacity is… JEE Main 2026Eight mercury drops, each of radius r , coalesce to form a bigger drop. The surface… JEE Main 2026A water spray gun is attached to a hose of cross sectional area 30 cm ^2 . The gun… JEE Main 2026The surface tension of a soap solution is 3.5 × 10^ -2 N/m. The work required to increase… JEE Main 2026The surface tension of a soap bubble is 0.03 N/m. The work done in increasing the… JEE Main 2026 Full Mechanical Properties of Fluids list All JEE Main PYQs