Two slits separated by 0.10 mm are illuminated with green light ($\lambda$ = 540 nm).Calculate the distance (in cm)from the central bright-region to the fifth bright band if the screen is 1.0 m away.
A)2.3
B)2.5
C)2.7
D)2.1
E)2.0

Question

Quizplus · Accepted Answer

The distance from the central bright-region to the nth bright band is given by:
y = nλL/d
where n is the order of the bright fringe, λ is the wavelength of light, L is the distance from the slits to the screen, and d is the distance between the slits. Plugging in the given values:
n = 5
λ = 540 nm = 5.4 x 10^-5 cm
L = 100 cm
d = 0.10 mm = 0.01 cm
y = 5(5.4 x 10^-5 cm)(100 cm) / 0.01 cm
y = 2.7 cm
Therefore, the distance from the central bright-region to the fifth bright band is 2.7 cm or 2.7/100 = 0.027 m. The closest answer choice is C) 2.7.

Two Slits Separated by 0 λ\lambdaλ = 540 Nm)Calculate the Distance (In Cm)from the Central Bright-Region to the Light

Two Slits Separated by 0 $\lambda$ = 540 Nm)Calculate the Distance (In Cm)from the Central Bright-Region to the Light