1
JEE Main 2024 (Online) 31st January Morning Shift
+4
-1

The fundamental frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. If length of the open pipe is $$60 \mathrm{~cm}$$, the length of the closed pipe will be:

A
15 cm
B
60 cm
C
45 cm
D
30 cm
2
JEE Main 2023 (Online) 11th April Evening Shift
+4
-1
Out of Syllabus

A car P travelling at $$20 \mathrm{~ms}^{-1}$$ sounds its horn at a frequency of $$400 \mathrm{~Hz}$$. Another car $$\mathrm{Q}$$ is travelling behind the first car in the same direction with a velocity $$40 \mathrm{~ms}^{-1}$$. The frequency heard by the passenger of the car $$\mathrm{Q}$$ is approximately [Take, velocity of sound $$=360 \mathrm{~ms}^{-1}$$ ]

A
485 Hz
B
514 Hz
C
421 Hz
D
471 Hz
3
JEE Main 2023 (Online) 10th April Evening Shift
+4
-1

For a periodic motion represented by the equation

$$y=\sin \omega \mathrm{t}+\cos \omega \mathrm{t}$$

the amplitude of the motion is

A
1
B
$$\sqrt2$$
C
0.5
D
2
4
JEE Main 2023 (Online) 8th April Morning Shift
+4
-1
Out of Syllabus

The engine of a train moving with speed $$10 \mathrm{~ms}^{-1}$$ towards a platform sounds a whistle at frequency $$400 \mathrm{~Hz}$$. The frequency heard by a passenger inside the train is: (neglect air speed. Speed of sound in air $$=330 \mathrm{~ms}^{-1}$$ )

A
200 Hz
B
412 Hz
C
400 Hz
D
388 Hz
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