JEE Main 201412 AprilOnline
- Exam
- JEE Main
- Year
- 2014
- Date
- 12 April
- Mode
- Online
- Subject
- Physics
- Chapter
- Waves and Sound
JEE Main 2014 · 12 April · Online · Physics · Waves and Sound
A source of sound A emitting waves of frequency 1800 ~Hz is falling...
A source of sound A emitting waves of frequency is falling towards ground with a terminal speed . The observer on the ground directly beneath the source receives waves of frequency . The source A receives waves, reflected from ground of frequency nearly: (Speed of sound )
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
Given Reflected wave frequency received by $\mathrm{A}$, $\mathrm{f}_{\mathrm{A}}{ }^{\prime}=$ ?
Applying doppler's effect of sound, $\mathrmf^{\prime}=\frac{\mathrm{v}_{\mathrm{s}} \mathrm{f}}{\mathrm{v}_{\mathrm{s}}-\mathrm{v}_{\mathrm{t}}}$
Here, $\mathrm{v}_{\mathrm{t}}=\mathrm{v}_{\mathrm{s}}\left(1-\frac{\mathrm{f}_{\mathrm{A}}}{\mathrm{f}_{\mathrm{B}}}\right)=343\left(1-\frac{1800}{2150}\right)\mathrm{v}_{\mathrm{t}}=55.8372 \mathrm{~m} / \mathrm{s}$
Now, for the reflected wave,\begin{aligned}&\therefore \mathrm{f}_{\mathrm{A}}{ }^{\prime}=\left(\frac{\mathrm{v}_{\mathrm{s}}+\mathrm{v}_{\mathrm{t}}}{\mathrm{v}_{\mathrm{s}}-\mathrm{v}_{\mathrm{t}}}\right) \mathrm{f}_{\mathrm{A}}\\
&=\left(\frac{343+55.83}{343-55.83}\right) \times1800 \\
&=2499.44 \approx2500 \mathrm{~Hz}
\end{aligned}$$