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The disc of a siren containing 60 holes rotates at a constant speed of 360 rpm. The emitted sound is in unison with a tuning fork of frequency.
- a)10Hz
- b)216Hz
- c)60Hz
- d)360Hz
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The disc of a siren containing 60 holes rotates at a constant speed of...
Frequency of revolution of disc = 360 rpm = 360 / 60rps = 60rps
Frequency of emitted sound = 6 × No.of holes
= 6 ×60 = 360Hz.
Frequency of emitted sound = 6 × No.of holes
= 6 ×60 = 360Hz.
Most Upvoted Answer
The disc of a siren containing 60 holes rotates at a constant speed of...
Given information:
- The disc of a siren contains 60 holes.
- The disc rotates at a constant speed of 360 rpm.
- The emitted sound is in unison with a tuning fork of frequency.
To determine the correct answer, we need to understand the relationship between the number of holes in the disc, the speed of rotation, and the frequency of the emitted sound.
Relationship between the number of holes, speed of rotation, and frequency:
- The number of holes in the disc determines the number of sound waves produced per revolution.
- The speed of rotation determines the number of revolutions per second.
- The frequency of the emitted sound is the product of the number of sound waves produced per revolution and the number of revolutions per second.
Formula:
Frequency = (Number of holes in the disc) x (Speed of rotation in revolutions per second)
Using this formula, we can calculate the frequency of the emitted sound for each option:
a) 10Hz
Frequency = 60 x (360/60) = 360 Hz
The calculated frequency does not match the given option, so this is not the correct answer.
b) 216Hz
Frequency = 60 x (360/216) = 100 Hz
The calculated frequency does not match the given option, so this is not the correct answer.
c) 60Hz
Frequency = 60 x (360/60) = 360 Hz
The calculated frequency does not match the given option, so this is not the correct answer.
d) 360Hz
Frequency = 60 x (360/360) = 60 Hz
The calculated frequency matches the given option, so this is the correct answer.
Therefore, the correct answer is option 'D' (360Hz).
- The disc of a siren contains 60 holes.
- The disc rotates at a constant speed of 360 rpm.
- The emitted sound is in unison with a tuning fork of frequency.
To determine the correct answer, we need to understand the relationship between the number of holes in the disc, the speed of rotation, and the frequency of the emitted sound.
Relationship between the number of holes, speed of rotation, and frequency:
- The number of holes in the disc determines the number of sound waves produced per revolution.
- The speed of rotation determines the number of revolutions per second.
- The frequency of the emitted sound is the product of the number of sound waves produced per revolution and the number of revolutions per second.
Formula:
Frequency = (Number of holes in the disc) x (Speed of rotation in revolutions per second)
Using this formula, we can calculate the frequency of the emitted sound for each option:
a) 10Hz
Frequency = 60 x (360/60) = 360 Hz
The calculated frequency does not match the given option, so this is not the correct answer.
b) 216Hz
Frequency = 60 x (360/216) = 100 Hz
The calculated frequency does not match the given option, so this is not the correct answer.
c) 60Hz
Frequency = 60 x (360/60) = 360 Hz
The calculated frequency does not match the given option, so this is not the correct answer.
d) 360Hz
Frequency = 60 x (360/360) = 60 Hz
The calculated frequency matches the given option, so this is the correct answer.
Therefore, the correct answer is option 'D' (360Hz).
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Solutions for The disc of a siren containing 60 holes rotates at a constant speed of 360 rpm. The emitted sound is in unison with a tuning fork of frequency.a)10Hzb)216Hzc)60Hzd)360HzCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
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