Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
A tank is filled with water of density 1 g cm-3 and oil of density 0.9 g cm-3. The height of the water layer is 100 cm and of the oil layer is 400 cm. If g=980 cm s-2, then the velocity of efflux from an opening in the bottom of the tank is
PhysicsMechanical Properties of FluidsNEET
Options:
  • A 920×980   cm s-1
  • B 900×980   cm s-1
  • C 1000×980   cm s-1
  • D 92×980   cm s-1
Solution:
1515 Upvotes Verified Answer
The correct answer is: 920×980   cm s-1
Pressures at the bottom of the tank must be equal to the pressures due to water of height h.

If dw and d0 be the densities of water and oil respectively, Pressure at the bottom of the tank

=hwdwg+h0d0g

If this pressure be equivalent to pressure due to water of height h.

Then,  hdwg=hwdwg+h0d0g 

h=hw+h0d0dw=100+400×0.91

=100+360=460

According to Torricelli's theorem

v=2gh=2×980×460

=920×980  cm s-1

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.