Question

State whether true or false: The frequency of sounding body of time period 0.01 seconds is 100Hz
A. True
B. False

Answer 1

Hint:The frequency of a sound wave is equal to the number of cycles of the sound wave in a particular time period. Hence, frequency and time period are directly related to each other. The unit of frequency is hertz while the unit of time period is second, and second is the represented as the inverse of hertz.

Complete answer:
 Frequency in general is defined as how many times a certain event occurs in a particular period of time. In the case of waves, frequency is the number of oscillations or the number of cycles that the wave performed in a particular time period. In the case of a sounding object, that is, in the case of sound waves, frequency is the number of times the wave vibrates, or the number of times the wave performs compression and rarefactions in a particular time period. Hence from these definitions, it is clear that frequency and time period are directly related to each in a way that frequency is inversely proportional to the time period for the sounding object. The unit of frequency is hertz and the unit of time is seconds. Thus frequency and time are related as follows:
\[f = \dfrac{1}{T}\]
Where $f$ is the frequency and $T$ is the time period. In the above case, the time period is given as 0.01 seconds. Thus the frequency for this time period is
\[f = \dfrac{1}{{0.01}} = 100Hz\]

Hence,the given statement is true.Therefore,option A is the correct answer.

Note:For an electromagnetic wave, the wavelength of the light is directly proportional to the time period of the wave, as the velocity of an electromagnetic wave is constant, and we have the equation of frequency and wavelength such that\[c = f\lambda \], frequency and wavelength are inversely proportional and so time period and wavelength are directly proportional.