Two slits are made 1mm apart and the screen is placed 1m away. What is the fringes separation when blue -green light of wavelength 500nm is use?
We can use the formula for fringe separation:
fringe separation = (wavelength x distance to screen) / distance between slits
Plugging in the values:
fringe separation = (500nm x 1m) / 0.001m
fringe separation = 500,000nm / 0.001m
fringe separation = 500,000,000nm/m
fringe separation = 500,000,000 m⁻¹
Therefore, the fringe separation is 500,000,000 m⁻¹ (or 0.5 mm⁻¹).
To calculate the fringe separation, we need to use the formula for fringe separation in a double-slit experiment:
Fringe separation (δy) = λ * L / d
Where:
- λ is the wavelength of the light
- L is the distance from the slits to the screen
- d is the distance between the slits
In this case, the wavelength (λ) is 500nm, the distance (L) is 1m, and the distance between the slits (d) is 1mm (which is equal to 0.001m).
Substituting these values into the formula:
Fringe separation (δy) = (500nm * 1m) / (0.001m)
= (500 * 10^(-9)m * 1) / (10^(-3)m)
= 500 * 10^(-6) m
= 0.5 mm
Therefore, the fringe separation for blue-green light of wavelength 500nm is 0.5 mm.