Minimum deviation angle of a thin prism of refractive index ′μ′ and angle of prism A is -
(A) (1- μ)A
(B) (μ – 1)A
(C) (μ + 1)A
(D) (μ + 1)A2
Correct Answer - A For a thini prism, the relation between angle of deviation, `del`, angle of prism A and refractive index `mu` is `del = (mu - 1)A`
2 Answers 2 viewsDispersive power of prism `delta = ((mu_(v) - mu_(r))/(mu_(y) - 1)) "but" mu_(y)= (mu_(v)+ mu_(r))/(2) = (1.664-1.644)/(1.654-1)= 0.0305`
2 Answers 1 viewsCorrect Answer - D `i=(pi)/(2),e=(pi)/(4),A=(pi)/(4)` `(sini)/(sin r_(1))=(sine)/(sinr_(2))=mu` `rArr sinr_(1)=(1)/(mu) and sinr_(2)=(1)/(sqrt2mu)` Since `r_(1)+r_(2)=A=(pi)/(4) rArr r_(1)=(pi)/(4)-r_(2)` `rArr sinr_(1) =(1)/(sqrt2)cosr_(2)- (1)/(sqrt2)sinr_(2)` `=sqrt2 sinr_(1)+sinr_(2)=cosr_(2)` `=(sqrt2)/(mu)+(1)/(sqrt2mu)=sqrt(1-(1)/(2mu^(2)))= (1)/(mu^(2))(2+(1)/(2)+2)=1-(1)/(2mu^(2))` `= (1)/(mu^(2))((9)/(2)+(1)/(2))=1` `mu^(2)=5rArr mu=sqrt5 `.
2 Answers 1 viewsCorrect Answer - `sqrt(2) lt mu lt 2`
2 Answers 1 viewsCorrect Answer - `1.53^(@)`
2 Answers 1 viewsCorrect Answer - `0^(@)`
2 Answers 1 viewsCorrect Answer - `30^(@), 45^(@), 30^(@)`
2 Answers 1 viewsCorrect Answer - `58.5^(@)`
2 Answers 1 viewsCorrect Answer - 1.64
2 Answers 1 viewsCorrect Answer - `1^(@)`
2 Answers 1 views