As a train approaches a platform

PHYSICS · Single correct · CBSE · Physics · Waves · Waves

Problem

As a train approaches a platform, a passenger standing on the platform hears the train’s horn at 800 Hz800\,\text{Hz}. After the train passes and moves directly away, the passenger hears the horn at 680 Hz680\,\text{Hz}. Take the speed of sound to be 340 m ⁣⋅ ⁣s−1340\,\text{m}\!\cdot\!\text{s}^{-1}. What is the train’s speed relative to the ground? (a) 55 m ⁣⋅ ⁣s−155\,\text{m}\!\cdot\!\text{s}^{-1} (b) 28 m ⁣⋅ ⁣s−128\,\text{m}\!\cdot\!\text{s}^{-1} (c) 60 m ⁣⋅ ⁣s−160\,\text{m}\!\cdot\!\text{s}^{-1} (d) 30 m ⁣⋅ ⁣s−130\,\text{m}\!\cdot\!\text{s}^{-1}

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