Question

A quarter cylinder of radius R and R.I. 1.5 is placed on a table. A point object P is kept at a distance mR from it. For which value of m, when a ray from P will emerge parallel to the table as shown in figure?

• A. 2/3
• B. 3/2
• C. 3/4
• D. 4/3

Answer 1

Answer: (D)

4/3

Answer 2

u = –mR, v = ?,

, m₁ = 1,

$\mu _ { 2 } = 1.5 = \frac { 3 } { 2 }$

…. (1)

From 2nd surface

v' = ฅ, R'₂ = –R,

m₁ = m = 1.5, m₂ = 1

]

$\frac { 1 } { \infty } - \frac { 2 \mu } { - R ( 3 m + 2 ) } = \frac { 1 - \mu } { - R }$

+

  3m + 2 = 6

Option (4) is correct.