Question

If oil of density higher than that of water is used in place of water in a resonance tube, its frequency will:
A) increase
B) decrease
C) remain the same
D) depend upon the density of the material of tube

Answer 1

Hint: The solution for this question is given by the frequency. First, we have to know what is frequency and what are the parameters that the frequency depends on. Here, the density of the water is compared with the frequency, if the frequency depends on the density, the solution will be determined.

Complete solution:
The frequency is generally known as the number of waves which are passed through the fixed point per unit time, also, the number of cycles or vibrations during one unit of time by a body in periodic motion. The frequency is also said to be, the frequency is the number of oscillations per unit time. Frequency is commonly used to define the cyclic process like rotation, oscillation, wave etc. The cyclic process which is completed at the given particular interval of time is known as the frequency. The general formula for the frequency is the $F = \dfrac{1}{T}$ where, $F$ is the frequency of the material and $T$ is the time period of the material.
By the above formula, the frequency depends only on the time period of the material, it does not depend on the density of the material.

Hence, the option (C) is the correct answer.

Note: The SI unit of the frequency is Hertz. The symbol $Hz$ represents it. The one hertz of the frequency means that the wave is completed in one cycle in one second. The common unit which is used for measuring the cyclic process is revolution per second and one revolution per second is equal to one hertz.