A beam of light propagating in medium A with index of refraction n(A) passes across an interface into medium B with index of refraction n(B). If v(A) and v(B) are the speeds of light in A and B respectively. Then which of the following is true?

Question

A beam of light propagating in medium A with index of refraction n(A) passes across an interface into medium B with index of refraction n(B). If v(A) and v(B) are the speeds of light in A and B respectively. Then which of the following is true? (A) v(A) > v(B) and n(A) > n(B) (B) v(A) > v(B) and n(A) < n(B) (C) v(A) < v(B) and n(A) > n(B) (D) v(A) < v(B) and n(A) < n(B)

Tardigrade Admin · Accepted Answer

Light travels faster in rarer medium. This alone decides is favour of option (b)

Q. A beam of light propagating in medium $A$ with index of refraction $n (A)$ passes across an interface into medium $B$ with index of refraction $n (B)$ . If $v (A)$ and $v (B)$ are the speeds of light in $A$ and $B$ respectively. Then which of the following is true?

$v (A) > v (B)$ and $n (A) > n (B)$

$v (A) > v (B)$ and $n (A) < n (B)$

$v (A) < v (B)$ and $n (A) > n (B)$

$v (A) < v (B)$ and $n (A) < n (B)$

Light travels faster in rarer medium. This alone decides is favour of option $(b)$

Q. A beam of light propagating in medium A with index of refraction n(A) passes across an interface into medium B with index of refraction n(B). If v(A) and v(B) are the speeds of light in A and B respectively. Then which of the following is true?

v(A)>v(B) and n(A)>n(B)

v(A)>v(B) and n(A)<n(B)

v(A)<v(B) and n(A)>n(B)

v(A)<v(B) and n(A)<n(B)