KCET · Physics · Thermal Properties of Matter
A train is approaching towards a platform with a speed of \( 10 \mathrm{~ms}^{-1} \) while blowing a whistle of
frequency \( 340 \mathrm{~Hz} \). What is the frequency of whistle heard by a stationary observer on the
platform ? Given speed of sound \( =340 \mathrm{~ms}^{-1} \).
- A \( 330 \mathrm{~Hz} \)
- B \( 350 \mathrm{~Hz} \)
- C \( 340 \mathrm{~Hz} \)
- D \( 360 \mathrm{~Hz} \)
Answer & Solution
Correct Answer
(B) \( 350 \mathrm{~Hz} \)
Step-by-step Solution
Detailed explanation
According to Doppler effect there is a change in frequency or wavelength of a wave in relation to observer who is moving
relative to the wave source, which is given as \( f^{\prime}=\left(\frac{v}{v-v_{s}}\right) f \)
where \( \mathrm{f}^{\prime} \) is the apparent frequency; \( \mathrm{f} \) is frequency of source; \( v_{S} \) is velocity of source; \( v \) is velocity of sound
Given
\( f=340 H z ; v=340 \mathrm{~ms}^{-1} ; v_{s}=10 \mathrm{~ms}^{-1} \)
Therefore,
\( f^{\prime}=\left(\frac{340}{340-10}\right) \times 340=350.3030 H z \sim 350 H z \)
Thus, frequency of whistle heard by a stationary observer on the platform is \( 350 \mathrm{~Hz} \)
relative to the wave source, which is given as \( f^{\prime}=\left(\frac{v}{v-v_{s}}\right) f \)
where \( \mathrm{f}^{\prime} \) is the apparent frequency; \( \mathrm{f} \) is frequency of source; \( v_{S} \) is velocity of source; \( v \) is velocity of sound
Given
\( f=340 H z ; v=340 \mathrm{~ms}^{-1} ; v_{s}=10 \mathrm{~ms}^{-1} \)
Therefore,
\( f^{\prime}=\left(\frac{340}{340-10}\right) \times 340=350.3030 H z \sim 350 H z \)
Thus, frequency of whistle heard by a stationary observer on the platform is \( 350 \mathrm{~Hz} \)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A copper wire of length \(1 \mathrm{~m}\) and uniform cross-sectional area \(5 \times 10^{-7} \mathrm{~m}^{2}\) carries a current of \(1 \mathrm{~A}\). Assuming that, there are \(8 \times 10^{28}\) free electrons per \(\mathrm{m}^{3}\) in copper, how long will an electron take to drift from one end of the wire to the other?KCET 2021 Hard
- A series LCR circuit containing an AC source of 100 V has an inductor and a capacitor of reactances \(24 \Omega\) and \(16 \Omega\) respectively. If a resistance of \(6 \Omega\) is connected in series, then the potential difference across the series combination of inductor and capacitor only isKCET 2025 Medium
- How many times more intense is a \(60 \mathrm{~dB}\) sound than a \(30 \mathrm{~dB}\) sound?KCET 2008 Easy
- A current of \(2 \mathrm{~A}\) is passing through a metal wire of cross-sectional area \(2 \times 10^{-6} \mathrm{~m}^{2}\). If the number density of free electrons in the wire is \(5 \times 10^{26} \mathrm{~m}^{-3}\), the drift speed of electrons is (Given, \(\mathrm{e}=1.6 \times 10^{-19} \mathrm{C}\) )KCET 2012 Medium
- A shell of mass \(20 \mathrm{~kg}\) at rest explodes into two fragments whose masses are in the ratio \(2: 3\). The smaller fragment moves with a velocity of \(6 \mathrm{~ms}^{-1}\). The kinetic energy of the larger fragment isKCET 2007 Medium
- In the three parts of a transistor, 'Emitter' is ofKCET 2017 Medium
More PYQs from KCET
- The sugar present in milk isKCET 2010 Hard
- The reagent used in Clemmensen's reduction isKCET 2007 Medium
- The vector equation of the plane which is at a distance of \( \frac{3}{\sqrt{14}} \) from the origin and the normal
from the origin is \( 2 \hat{i}-3 \hat{j}+\hat{k} \) isKCET 2016 Medium - Which of the following has the maximum number of unpaired ' \(d\) ' electrons?KCET 2008 Easy
- A man takes a step forward with probability \( 0.4 \) and one step backward with probability \( 0.6 \),
then the probability that at the end of eleven steps he is one step away from the starting point
isKCET 2015 Hard - In the binomial expansion of \((1+x)^{15}\), the coefficients of \(\mathrm{x}^{\mathrm{r}}\) and \(\mathrm{x}^{\mathrm{r}+3}\) are equal. Then, \(r\) isKCET 2010 Medium