A thin prism P1 with angle 4o and made from glass (μ = 1 . 54) is combined with another prism P2 made of another glass of μ =1.72 to produce dispersion without deviation. The angle of prism P2 is

Question

A thin prism P1 with angle 4o and made from glass (μ = 1 . 54) is combined with another prism P2 made of another glass of μ =1.72 to produce dispersion without deviation. The angle of prism P2 is (A) 53.3o (B) 4o (C) 3o (D) 2.6o

Tardigrade Admin · Accepted Answer

For no deviation, (μ1-1) A1=(μ2-1) A2 4o(1 . 54 - 1)=(1 . 72 - 1)A2 A2=(4 × 0 . 54/0 . 72)=3o .

Q. A thin prism $P_{1}$ with angle $4^{o}$ and made from glass $(μ = 1.54)$ is combined with another prism $P_{2}$ made of another glass of $μ = 1.72$ to produce dispersion without deviation. The angle of prism $P_{2}$ is

$53. 3^{o}$

$4^{o}$

$3^{o}$

$2. 6^{o}$

For no deviation, $(μ_{1} - 1) A_{1} = (μ_{2} - 1) A_{2}$
$4^{o} (1.54 - 1) = (1.72 - 1) A_{2}$
$A_{2} = \frac{4 \times 0.54}{0.72} = 3^{o}$ .

Q. A thin prism P1​ with angle 4o and made from glass (μ=1.54) is combined with another prism P2​ made of another glass of μ=1.72 to produce dispersion without deviation. The angle of prism P2​ is

53.3o

4o

3o

2.6o