Question

the speed of a wave in a string is 20 metre per second and frequencies 50 hz the phase difference between two points on the string 10 cm and 10 cm apart will be

Answer 1

The phase difference between two points on a string 10 cm apart with a frequency of 50 Hz and speed of 20 m/s is 1.57 radians.

Step-by-step explanation:

The phase difference between two points on a string can be calculated using the formula:

Phase Difference (in radians) = (2π * Distance) / Wavelength

In this case, the distance between the two points on the string is 10 cm (0.1 m), and the frequency is 50 Hz. To find the wavelength, we need to use the formula:

Wavelength = Speed / Frequency

Given that the speed of the wave is 20 m/s, we can substitute these values into the formula and calculate the wavelength:

Wavelength = 20 m/s / 50 Hz = 0.4 m

Now, we can substitute the values of distance and wavelength into the phase difference formula to find the phase difference:

Phase Difference = (2π * 0.1 m) / 0.4 m = 0.5π radians = 1.57 radians

So therefore the phase difference is 1.57 radians.