Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 20169 AprilOnline
Exam
JEE Main
Year
2016
Date
9 April
Mode
Online
Subject
Physics
Chapter
Waves and Sound

JEE Main 2016 · 9 April · Online · Physics · Waves and Sound

Two engines pass each other moving in opposite directions with...

Two engines pass each other moving in opposite directions with uniform speed of 30 m/s. one of them is blowing a whistle of frequency 540 Hz. Calculate the frequency heard by driver of second engine before they pass each other. speed of sound is 330 m/sec:

Options

  1. A450 Hz
  2. B540 Hz
  3. C270 Hz
  4. D648 Hz

Correct answer

D. 648 Hz

Step-by-step solution

From Doppler's effect of sound, apparent frequency is given by,
f′=v+v0v−vsf{f}^{′} = \dfrac{v + {v}_{0}}{v - {v}_{s}}f, where v,vo,vs and fv, {v}_{o}, {v}_{s} \text{ and } f represents velocity of sound, velocity of observer, velocity of source and frequency of source repectively.
=330+30330−30×540= \dfrac{330 + 30}{330 - 30} \times 540
=360300×540= \dfrac{360}{300} \times 540
=648Hz= 648Hz
Practice Waves and Sound on Quantrex Academy →

More from Waves and Sound

List-I shows four configurations made of straight and semi-circular narrow tubes… JEE Advanced 2026A transverse wave on a string is described by y = 3 (36t + 0.018x + π/4) , where x, y are… JEE Main 2026The equation of a plane progressive wave is given by y = 5 π(200t - (x)/(150)) where x… JEE Main 2026The speed of a longitudinal wave in a metallic bar is 400 ~m / s . If the density and… JEE Main 2026Two tuning forks A and B are sounded together giving rise to 8 beats in 2 s. When fork A… JEE Main 2026A point source is kept at the center of a spherically enclosed detector. If the volume of… JEE Main 2026The fifth harmonic of a closed organ pipe is found to be in unison with the first… JEE Main 2026The velocity of sound in air is doubled when the temperature is raised from 0^ ∘ C to α^… JEE Main 2026 Full Waves and Sound list All JEE Main PYQs