NEET
- Exam
- NEET
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- Physics
- Chapter
- Waves and Sound
NEET · Physics · Waves and Sound
A source of sound emits sound waves at frequency f_0 . It is moving...
A source of sound emits sound waves at frequency . It is moving towards an observer with fixed speed , where is the speed of sound in air.) If the observers were to move towards the source with speed , one of the following two graphs and will give the correct variation of the frequency heard by the observer as is changed.

The variation of with is given correctly by
The variation of with is given correctly by
Options
- A\operatorname{graph} A=\frac{f_0}{\left(v+v_s\right)}
- Bgraph with slope $=\frac{f_0}{\left(v-v_s\right)}
- Cgraph with slope $=\frac{f_0}{\left(v-v_s\right)}
- Dgraph with slope $=\frac{f_0}{\left(v+v_s\right)}
Correct answer
C. graph with slope $=\frac{f_0}{\left(v-v_s\right)}
Step-by-step solution
According to Doppler's effect, the apparent frequency of sound when both source and observer are moving towards each other
\Rightarrow \quad f=\left(\frac{f_0}{v-v_s}\right)v_0+\left(\frac{f_0}{v-v_s}\right)v
Equation of straight line, which is equation of straight line making an intercept on -axis, Slope of the graph =\frac{f_0}{v-v_s} and intercept =\frac{v f_0{ }^{{}^{\circ}}}{v-v_s} This condition is represented in graph A plotted between and .
Hence, option (c) is correct.