JEE Advanced 2018Paper 1
- Exam
- JEE Advanced
- Year
- 2018
- Paper
- Paper 1
- Subject
- Physics
- Chapter
- Waves and Sound
JEE Advanced 2018 · Paper 1 · Physics · Waves and Sound
Two men are walking along a horizontal straight line in the same...
Two men are walking along a horizontal straight line in the same direction. The man in front walks at a speed and the man behind walks at a speed . A third man is standing at a height above the same horizontal line such that all three men are in a vertical plane. The two walking men are blowing identical whistles which emit a sound of frequency . The speed of sound in air is At the instant, when the moving men are apart, the stationary man is equidistant from them. The frequency of beats in , heard by the stationary man at this instant, is __________.
Correct answer
0
Step-by-step solution
\left[\dfrac{330}{330 - 2cos \theta}\right] = 1430\left[\dfrac{1}{1 - \dfrac{2cos \theta}{330}}\right] = 1430\left[1 + \dfrac{2cos \theta}{330}\right]{f}_{B} = 1430\left[\dfrac{330}{330 + 1cos \theta}\right] = 1430\left[1 - \dfrac{cos \theta}{330}\right]∆ f = {f}_{A} - {f}_{B} = 1430\left[\dfrac{3cos \theta}{330}\right] = 13cos \theta= 13\left(\dfrac{5}{13}\right) = 5.00Hz