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NEET PHYSICSEasy

A train of $150 \text{ meter}$ length is going towards north direction at a speed of $10 \text{ m/s}$ . A parrot flies at the speed of $5 \text{ m/s}$ towards south direction parallel to the railway track. The time taken by the parrot to cross the train is:

A

12 sec

B

8 sec

C

15 sec

D

10 sec

Step-by-Step Solution

Concept - Relative Velocity: When two objects move in opposite directions (one North, one South), their relative speed is the sum of their individual speeds. Velocity of train, $v_T = 10 \text{ m/s}$ . Velocity of parrot, $v_P = 5 \text{ m/s}$ .

Relative velocity, $v_{rel} = v_T + v_P = 10 + 5 = 15 \text{ m/s}$ .

Distance to Cross: The parrot needs to cover the length of the train to cross it completely.

Distance, $d = 150 \text{ m}$ .

Calculate Time: Time taken ( $t$ ) is the total distance divided by the relative speed.

$t = \frac{d}{v_{rel}} = \frac{150}{15} = 10 \text{ sec}$ .

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