Question

can u please solve this question with full explanation​

Answer 1

Correct option is D)

2dsinθ=λ

⇒d=2sinθd

Taking log and differentiating both sides-

dΔd=λΔλ−sinθ1cosθΔθ

For maximum possible error all the errors should be added

⇒dΔd=λΔλ+sinθcosθΔθ

As λ is exactly known, Δλ=0

⇒dΔd=cotθΔθ

As Δθ1 is constant and on increasing θ,cotθ decreasees. So, fractional error in d(i.edΔd)