Question

8.1÷7.2=630÷x find x​

Answer 1

Explanation:

Solution :

Here, λ1=630nm=630×10−9m,β1=8.1mm=8.1×10−3m

λ2=?,β2=7.2mm=7.2×10−3m

Let d be the slit width and D be the distance between slit and screen, then

β1=λ1Dd and β2=λ2Dd ∴β1β2=λ1Dd×dλ2D=λ1λ2

8.1×10−37.2×10−3=630×10−3λ2⇒8.17.2=630×10−9λ2

∴λ2=7.2×630×10−98.1

=560×10−9m=560nm.