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Which of the following sounds is not audible?
A) A tuning fork vibrating 400 times in 2s
B) A tuning fork vibrating 3600 times in 60s
C) A tuning fork vibrating 1 time in 1s
D) A tuning fork vibrating 900 time 2s

Answer
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Hint: Frequency of a wave is the no of complete oscillations per unit time. The more is the number of oscillations the more will be the frequency. We have to calculate the respective frequencies for each option. Humans have a range of audibleness from 20Hz to 20kHz. Any frequency falling in this range should be audible.

Formula Used: f=nT
Where,
f is the frequency of the tuning-fork
n is the number of oscillation
T is the time period for oscillation

Complete step by step answer:
A vibrating tuning fork oscillates at a specific rate in a specific time period. Frequency can be calculated by the above formula by calculating the ratio of the number of oscillations and its time period.
Human ears are sensitive to a frequency range of 20Hz to 20000Hz. If a sound wave falls inside this range, it should be audible to us.
Let’s analyse every option now.
For option A, number of oscillations is 400 and time period is 2s.
Substituting these values in the formula we get,
f=4002=200Hz
This frequency is audible.
For option B, number of oscillations is 3600 and time period is 60s
Substituting these values in the formula we get,
f=360060=60Hzq
This frequency is also audible.
For option C, number of oscillations is 1 and time period is 1s
Thus frequency becomes, f=11=1Hz
This frequency is less than the minimum frequency is not audible.
Again, if we analyse option D, number of oscillations is 900 for a time period 2s, which means,
Frequency will be, f=9002=450Hz
This is an audible frequency.

Thus the correct answer is option C, a tuning-fork vibrating 1 time in 1sis not audible by human ears.

Note: Humans have a smaller range of frequencies compared to many animals, dogs can hear in a range of 5050kHz and bats can even hear up to 100kHz. These easy problems are a treat for the eye of the student, but watch for the system of units. Sometimes the examiner asks in a different system of unit and students tend to overlook.
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