Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 201910 AprilEvening Shift
Exam
JEE Main
Year
2019
Date
10 April
Shift
Evening Shift
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Main 2019 · 10 April · Evening Shift · Physics · Mechanical Properties of Fluids

A submarine experiences a pressure of 5.05 × 10 ^ 6 Pa at a depth...

A submarine experiences a pressure of 5.05×106Pa5.05 \times {10}^{6}Pa at a depth of d1{d}_{1} in a sea. When it goes further to a depth of d2{d}_{2} , it experiences a pressure of 8.08×106Pa8.08 \times {10}^{6}Pa . Then d2−d1{d}_{2} - {d}_{1} is approximately (density of water =103kg/m3= {10}^{3}kg / {m}^{3} and acceleration due to gravity =10ms−2= 10m{s}^{- 2} ):

Options

  1. A600m600m
  2. B500m500m
  3. C300m300m
  4. D400m400m

Correct answer

C. 300m300m

Step-by-step solution

The pressure at a depth dd is p=p0+ρgdp = {p}_{0} + ρgd, here p0{p}_{0} is the atmospheric pressure.
∴p1=p0+ρgd1∴ {p}_{1} = {p}_{0} + ρg{d}_{1}
and p2=p0+ρgd2{p}_{2} = {p}_{0} + ρg{d}_{2}
The difference in pressure is p2−p1=ρg(d2−d1){p}_{2} - {p}_{1} = ρg\left({d}_{2} - {d}_{1}\right)

Putting the values in the above equation
8.08×106−5.05×106=103×10(d2−d1)8.08 \times {10}^{6} - 5.05 \times {10}^{6} = {10}^{3} \times 10\left({d}_{2} - {d}_{1}\right)
d2−d1=3.03×106104{d}_{2} - {d}_{1} = \dfrac{3.03 \times {10}^{6}}{{10}^{4}}
=303m= 303m

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