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NEET UG PHYSICS MCQ: WAVES

1 Hard
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Application +4 | -1
A travelling wave is produced on a long horizontal string by vibrating an end up and down sinusoidally. The amplitude of vibration is 1.0 cm1.0 \mathrm{~cm} and the displacement becomes zero 200 times per second. The linear mass density of the string is 0.10 kg m−10.10 \mathrm{~kg} \mathrm{~m}^{-1} and it is kept under a tension of 90 N. Find the velocity and acceleration of the particle at x=50 cmx=50 \mathrm{~cm} at time t=10 mst=10 \mathrm{~ms}.
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Correct option: A
5.4 m/s; 2 km/s25.4 \mathrm{~m/s};\,2 \mathrm{~km/s}^2
Option A (5.4 m/s; 2 km/s25.4 \mathrm{~m/s};\,2 \mathrm{~km/s}^2) is correct because it calculates the velocity and acceleration of the particle at the given position and time using the wave equation.

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