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JEE Main 20241 FebruaryEvening Shift

Exam: JEE Main
Year: 2024
Date: 1 February
Shift: Evening Shift
Subject: Physics
Chapter: Motion in One Dimension

JEE Main 2024 · 1 February · Evening Shift · Physics · Motion in One Dimension

Train A is moving along two parallel rail tracks towards north with...

Train A is moving along two parallel rail tracks towards north with

72km{h}^{- 1}

and train

B

is moving towards south with speed

108km{h}^{- 1}

. Velocity of train

B

with respect to

A

and velocity of ground with respect to

B

are (in

m{s}^{- 1}

):

Train A is moving along two parallel rail tracks towards north with 72km h ^ - 1 and train B is moving towards south

Options

A $- 30$ and $50$
B $- 50$ and $- 30$
C $- 50$ and $30$
D $50$ and $- 30$

Correct answer

C. $- 50$ and $30$

Step-by-step solution

Train A is moving along two parallel rail tracks towards north with 72km h ^ - 1 and train B is moving towards south

${V}_{A} = 72km{h}^{- 1} = 72 \times \dfrac{1000}{3600} = 20m{s}^{- 1}$ and

${V}_{B} = - 108km{h}^{- 1} = - 108 \times \dfrac{1000}{3600} = - 30m{s}^{- 1}$

Velocity of $B$ w.r.t. $A$ :

${V}_{B / A} = - 30 - 20 = – 50m{s}^{- 1}$

Velocity of ground w.r.t. $B$ :

${V}_{G / B} = 0 - \left(- 30\right) = 30m{s}^{- 1}$

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