To find the spacing between the first and second order bright fringes, you can use the formula:
x = (λL) / d
where:
- x is the spacing between the fringes
- λ is the wavelength of the light
- L is the distance from the slits to the screen (2.5m in this case)
- d is the distance between the slits (0.05mm or 5x10^-5m in this case)
First, let's convert the distance between the slits to meters:
d = 0.05mm = 0.05×10^-3m = 5×10^-5m
Now substitute the values into the formula:
x = (λL) / d
= (600nm) × (2.5m) / (5×10^-5m)
= (600×10^-9m) × (2.5m) / (5×10^-5m)
= (600 × 2.5) / 5
= 300 / 5
= 60
The spacing between the first and second order bright fringes is 60 units (meters).
Therefore, the correct answer is x = 60m, not 0.03m.