Home Maths JEE - Advanced Previous Year Paper JEE-Advanced-2020-Paper-2 A train with cross-sectional area S t is mov…
Maths JEE - Advanced Previous Year Paper JEE-Advanced-2020-Paper-2 Numeric Response
Published on: August 13, 2026

A train with cross-sectional area S t is moving with speed v t inside a long tunnel of cross-sectional area So (S 0 = 4S t ). Assume that almost all the air (density p) in front of the train flows back between its sides and the walls of the tunnel. Also, the air flow with respect to the train is steady and laminar. Take the ambient pressure and that inside the train to be po. If the pressure in the region between the sides of the train and the tunnel walls is p, then . The value of N is____.

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Verified by Experts
The correct answer is:
9

(9)

The velocity of air flow relative to the train between its sides and the walls of the tunnel is v

vx3S t = v t 4S t

...(i)

Now,

Hence N = 9

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