Doppler Effect
WAVES

173103 A train moving with a velocity $v$ is passing a station. A passenger standing on the station notices that the whistle emitted by the train changes its frequency by $50 \mathrm{~Hz}$ when it passes him. Given that the frequency of the whistle when the train is at rest with respect to the passenger is $500 \mathrm{~Hz}$ and the velocity of sound in air is $350 \mathrm{~m} / \mathrm{sec}$, the velocity of the train is

1 $8.25 \mathrm{~m} / \mathrm{sec}$
2 $17.5 \mathrm{~m} / \mathrm{sec}$
3 $35 \mathrm{~m} / \mathrm{sec}$
4 $30 \mathrm{~m} / \mathrm{sec}$
WAVES

173104 A source emitting sound of frequency $288 \mathrm{~Hz}$ is tied to a string of $100 \mathrm{~cm}$ length and rotated with an angular velocity of $20 \mathrm{rad} \mathrm{s}^{-1}$ in the horizontal plane. The range of frequencies heard by an observer standing at a distance of $5 \mathrm{~m}$ from the source is (in $\mathrm{Hz}$ )
(Speed of sound in air $=\mathbf{3 4 0} \mathrm{ms}^{-\mathbf{1}}$ )

1 275 to 320
2 272 to 306
3 288 to 340
4 278 to 298
WAVES

173105 Two trains $A$ and $B$ are approaching a platform from opposite directions. The siren in the station is making a sound at a frequency 4 kHz. The passengers in the trains $A$ and $B$ hear it as sound with frequencies $4.5 \mathrm{kHz}$ and $5 \mathrm{kHz}$ respectively. Then the velocities of the trains $A$ and $B$ are, (velocity of sound in air $=340 \mathrm{~m} / \mathrm{s}$ )

1 $42.5 \mathrm{~m} / \mathrm{s}, 85 \mathrm{~m} / \mathrm{s}$
2 $75 \mathrm{~m} / \mathrm{s}, 55 \mathrm{~m} / \mathrm{s}$
3 $85 \mathrm{~m} / \mathrm{s}, 8.5 \mathrm{~m} / \mathrm{s}$
4 $42.5 \mathrm{~m} / \mathrm{s}, 62.5 \mathrm{~m} / \mathrm{s}$
WAVES

173106 The difference between the apparent frequency of a source of sound as perceived by the observer during its approach and recession is $2 \%$ of the frequency of the source. If the speed of sound in air is $300 \mathrm{~ms}^{-1}$, the velocity of the source is :

1 $1.5 \mathrm{~ms}^{-1}$
2 $12 \mathrm{~ms}^{-1}$
3 $6 \mathrm{~ms}^{-1}$
4 $3 \mathrm{~ms}^{-1}$
WAVES

173103 A train moving with a velocity $v$ is passing a station. A passenger standing on the station notices that the whistle emitted by the train changes its frequency by $50 \mathrm{~Hz}$ when it passes him. Given that the frequency of the whistle when the train is at rest with respect to the passenger is $500 \mathrm{~Hz}$ and the velocity of sound in air is $350 \mathrm{~m} / \mathrm{sec}$, the velocity of the train is

1 $8.25 \mathrm{~m} / \mathrm{sec}$
2 $17.5 \mathrm{~m} / \mathrm{sec}$
3 $35 \mathrm{~m} / \mathrm{sec}$
4 $30 \mathrm{~m} / \mathrm{sec}$
WAVES

173104 A source emitting sound of frequency $288 \mathrm{~Hz}$ is tied to a string of $100 \mathrm{~cm}$ length and rotated with an angular velocity of $20 \mathrm{rad} \mathrm{s}^{-1}$ in the horizontal plane. The range of frequencies heard by an observer standing at a distance of $5 \mathrm{~m}$ from the source is (in $\mathrm{Hz}$ )
(Speed of sound in air $=\mathbf{3 4 0} \mathrm{ms}^{-\mathbf{1}}$ )

1 275 to 320
2 272 to 306
3 288 to 340
4 278 to 298
WAVES

173105 Two trains $A$ and $B$ are approaching a platform from opposite directions. The siren in the station is making a sound at a frequency 4 kHz. The passengers in the trains $A$ and $B$ hear it as sound with frequencies $4.5 \mathrm{kHz}$ and $5 \mathrm{kHz}$ respectively. Then the velocities of the trains $A$ and $B$ are, (velocity of sound in air $=340 \mathrm{~m} / \mathrm{s}$ )

1 $42.5 \mathrm{~m} / \mathrm{s}, 85 \mathrm{~m} / \mathrm{s}$
2 $75 \mathrm{~m} / \mathrm{s}, 55 \mathrm{~m} / \mathrm{s}$
3 $85 \mathrm{~m} / \mathrm{s}, 8.5 \mathrm{~m} / \mathrm{s}$
4 $42.5 \mathrm{~m} / \mathrm{s}, 62.5 \mathrm{~m} / \mathrm{s}$
WAVES

173106 The difference between the apparent frequency of a source of sound as perceived by the observer during its approach and recession is $2 \%$ of the frequency of the source. If the speed of sound in air is $300 \mathrm{~ms}^{-1}$, the velocity of the source is :

1 $1.5 \mathrm{~ms}^{-1}$
2 $12 \mathrm{~ms}^{-1}$
3 $6 \mathrm{~ms}^{-1}$
4 $3 \mathrm{~ms}^{-1}$
WAVES

173103 A train moving with a velocity $v$ is passing a station. A passenger standing on the station notices that the whistle emitted by the train changes its frequency by $50 \mathrm{~Hz}$ when it passes him. Given that the frequency of the whistle when the train is at rest with respect to the passenger is $500 \mathrm{~Hz}$ and the velocity of sound in air is $350 \mathrm{~m} / \mathrm{sec}$, the velocity of the train is

1 $8.25 \mathrm{~m} / \mathrm{sec}$
2 $17.5 \mathrm{~m} / \mathrm{sec}$
3 $35 \mathrm{~m} / \mathrm{sec}$
4 $30 \mathrm{~m} / \mathrm{sec}$
WAVES

173104 A source emitting sound of frequency $288 \mathrm{~Hz}$ is tied to a string of $100 \mathrm{~cm}$ length and rotated with an angular velocity of $20 \mathrm{rad} \mathrm{s}^{-1}$ in the horizontal plane. The range of frequencies heard by an observer standing at a distance of $5 \mathrm{~m}$ from the source is (in $\mathrm{Hz}$ )
(Speed of sound in air $=\mathbf{3 4 0} \mathrm{ms}^{-\mathbf{1}}$ )

1 275 to 320
2 272 to 306
3 288 to 340
4 278 to 298
WAVES

173105 Two trains $A$ and $B$ are approaching a platform from opposite directions. The siren in the station is making a sound at a frequency 4 kHz. The passengers in the trains $A$ and $B$ hear it as sound with frequencies $4.5 \mathrm{kHz}$ and $5 \mathrm{kHz}$ respectively. Then the velocities of the trains $A$ and $B$ are, (velocity of sound in air $=340 \mathrm{~m} / \mathrm{s}$ )

1 $42.5 \mathrm{~m} / \mathrm{s}, 85 \mathrm{~m} / \mathrm{s}$
2 $75 \mathrm{~m} / \mathrm{s}, 55 \mathrm{~m} / \mathrm{s}$
3 $85 \mathrm{~m} / \mathrm{s}, 8.5 \mathrm{~m} / \mathrm{s}$
4 $42.5 \mathrm{~m} / \mathrm{s}, 62.5 \mathrm{~m} / \mathrm{s}$
WAVES

173106 The difference between the apparent frequency of a source of sound as perceived by the observer during its approach and recession is $2 \%$ of the frequency of the source. If the speed of sound in air is $300 \mathrm{~ms}^{-1}$, the velocity of the source is :

1 $1.5 \mathrm{~ms}^{-1}$
2 $12 \mathrm{~ms}^{-1}$
3 $6 \mathrm{~ms}^{-1}$
4 $3 \mathrm{~ms}^{-1}$
WAVES

173103 A train moving with a velocity $v$ is passing a station. A passenger standing on the station notices that the whistle emitted by the train changes its frequency by $50 \mathrm{~Hz}$ when it passes him. Given that the frequency of the whistle when the train is at rest with respect to the passenger is $500 \mathrm{~Hz}$ and the velocity of sound in air is $350 \mathrm{~m} / \mathrm{sec}$, the velocity of the train is

1 $8.25 \mathrm{~m} / \mathrm{sec}$
2 $17.5 \mathrm{~m} / \mathrm{sec}$
3 $35 \mathrm{~m} / \mathrm{sec}$
4 $30 \mathrm{~m} / \mathrm{sec}$
WAVES

173104 A source emitting sound of frequency $288 \mathrm{~Hz}$ is tied to a string of $100 \mathrm{~cm}$ length and rotated with an angular velocity of $20 \mathrm{rad} \mathrm{s}^{-1}$ in the horizontal plane. The range of frequencies heard by an observer standing at a distance of $5 \mathrm{~m}$ from the source is (in $\mathrm{Hz}$ )
(Speed of sound in air $=\mathbf{3 4 0} \mathrm{ms}^{-\mathbf{1}}$ )

1 275 to 320
2 272 to 306
3 288 to 340
4 278 to 298
WAVES

173105 Two trains $A$ and $B$ are approaching a platform from opposite directions. The siren in the station is making a sound at a frequency 4 kHz. The passengers in the trains $A$ and $B$ hear it as sound with frequencies $4.5 \mathrm{kHz}$ and $5 \mathrm{kHz}$ respectively. Then the velocities of the trains $A$ and $B$ are, (velocity of sound in air $=340 \mathrm{~m} / \mathrm{s}$ )

1 $42.5 \mathrm{~m} / \mathrm{s}, 85 \mathrm{~m} / \mathrm{s}$
2 $75 \mathrm{~m} / \mathrm{s}, 55 \mathrm{~m} / \mathrm{s}$
3 $85 \mathrm{~m} / \mathrm{s}, 8.5 \mathrm{~m} / \mathrm{s}$
4 $42.5 \mathrm{~m} / \mathrm{s}, 62.5 \mathrm{~m} / \mathrm{s}$
WAVES

173106 The difference between the apparent frequency of a source of sound as perceived by the observer during its approach and recession is $2 \%$ of the frequency of the source. If the speed of sound in air is $300 \mathrm{~ms}^{-1}$, the velocity of the source is :

1 $1.5 \mathrm{~ms}^{-1}$
2 $12 \mathrm{~ms}^{-1}$
3 $6 \mathrm{~ms}^{-1}$
4 $3 \mathrm{~ms}^{-1}$