Question

For a small angled prism, angle of prism A, the angle of minimum deviation `(delta)` varies with the refractive index of the prism as shown in the graph. Then, ____________.

Options

• Point P corresponds to µ = 1

• Slope of the line PQ = A/2

• Slope of line PQ = A

• Both Point P corresponds to µ = 1 and Slope of line PQ = A

Answer 1

For a small angled prism, angle of prism A, the angle of minimum deviation `(delta)` varies with the refractive index of the prism as shown in the graph. Then, Both Point P corresponds to µ = 1 and Slope of line PQ = A.

Explanation:

`"At P", delta = 0`

`"For thin prism"  delta = delta_"m"`

`therefore  delta ="A" (mu - 1)`

`Rightarrow 0 = "A" (mu - 1)`

`Rightarrow mu = 1`

Thus, option (A) is correct.

`"Also," delta = (mu - 1)"A" = "A"mu - "A"`

Comparing with y = mx + c

Slope of line PQ = m =A

Thus, option (C) is correct.