AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

A flat plate moves normally with a speed $ν_{1}$ towards a horizontal jet of water of uniform area of cross section. The jet discharges water at the rate of volume V per second at a speed of $ν_{2}$ . The density of water is $ρ$ . Assume that water splashes along the surface of the plate at right angles to the original motion. The magnitude of the force acting on the plate due to the jet in newton is...

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

$F = \frac{ν_{1}}{ν_{2}} {(ν_{1} + ν_{2})}^{2} ρ$

$F = \frac{ν_{2}}{ν_{1}} {(ν_{1} - ν_{2})}^{2} ρ$

$F = \frac{ν}{ν_{2}} {(ν_{1} + ν_{2})}^{2} ρ$

$F = \frac{ν_{2}}{ν} {(ν_{2} - ν_{1})}^{2} ρ$

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Force acting on the plate $F = \frac{d p}{d t} = u \frac{d m}{d t}$

Since $A ν_{2} = V \Rightarrow \frac{d m}{d t} = A (ν_{1} + ν_{2}) ρ = \frac{V}{ν_{2}} (ν_{1} + ν_{2}) ρ$

( $u_{r} = ν_{1} + ν_{2}$ = velocity of water coming out of jet w.r.t plate)

$(F = ν_{1} + ν_{2}) . \frac{ν}{ν_{2}} (ν_{1} + ν_{2}) ρ = \frac{ν}{ν_{2}} {(ν_{1} + ν_{2})}^{2} ρ$

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!