Question

In a medium of refractive index `n_(1)`, a monochromatic light of wavelength `lamda_(1)` is travelling. When it enters in a denser medium of refractive index `n_(2)`, the wavelength of the light in the second medium is
A. `lamda_(1)((n_(1))/(n_(2)))`
B. `lamda_(1)((n_(2))/(n_(1)))`
C. `(lamda_(1)(n_(2)-n_(1)))/(n_(2))`
D. `(lamda_(1)(n_(2)-n_(1)))/(n_(1))`

Answer 1

(a) `lamda_("medium")=(lamda_("air"))/(n_(m))=((c/v))/(n_(m))`
`lamda_(1)=c/(vn_(1)),lamda_(2)=c/(vn_(2))` or `lamda_(1)n_(1)=lamda_(2)n_(2)`
`lamda=lamda_(1)((n_(1))/(n_(2)))`