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PhysicsMediumMCQ2023 ยท 13 Apr Shift 1

Q1. Two trains A and B of length l and 4l are travelling into a tunnel of length L in parallel tracks from opposite directions with velocities 108 km hโˆ’1 and 72 km hโˆ’1, respectively. If train A take 35 s less time than train B to cross the tunnel then, length L of tunnel is: (Given L = 60 l) (1) 1200 m (2) 900 m (3) 1800 m (4) 2700 m

What This Question Tests

This question tests the ability to apply concepts of relative velocity and time calculations for objects of finite length crossing a tunnel, including unit conversions and solving algebraic equations.

Concepts Tested

Relative velocityTime taken to cross a lengthUniform motionUnit conversion

Formulas Used

v_relative = v_A + v_B (opposite directions)

time = distance / speed

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