in michelson-morley experiment the wavelength of the monochromatic light used is 5000A.calculate the expected fringe shift on the basis of stationary ether hypothesis if the effective length of each path is 5m.given c=3*10^8m/s
To calculate the expected fringe shift in the Michelson-Morley experiment, we need to use the formula:
Fringe Shift = (2 * Effective Length * Wavelength) / Speed of Light
Given:
Wavelength = 5000 A (Angstroms)
Effective Length = 5 m
Speed of Light (c) = 3 * 10^8 m/s
First, we need to convert the wavelength from Angstroms to meters:
1 A = 1 * 10^-10 m
Therefore, the wavelength in meters is:
Wavelength = 5000 A * (1 * 10^-10 m/A) = 5000 * 10^-10 m = 5 * 10^-7 m
Now we can substitute the values into the formula:
Fringe Shift = (2 * 5 * 5 * 10^-7 m) / (3 * 10^8 m/s)
Simplifying the equation:
Fringe Shift = (10^-6 m) / (3 * 10^8 m/s) = 10^-14 s
Therefore, the expected fringe shift on the basis of the stationary ether hypothesis in the Michelson-Morley experiment is 10^-14 seconds.