Two refracting media are separated by a spherical interfaces as shown in the figure. AB is the principal axis, `mu_1 and mu_2` are the refractive indices of medium of incidence and medium of refraction respectively. Then,

Options

A. if `mu_(2)gtmu_(1)` , then there cannot be a real image of real object
B. if `mu_(2)gtmu_(1)` , then there cannot be a real image of virtual object
C. if `mu_(1)gtmu_(2)` , then there cannot be a virtual image of virtual object
D. if `mu_(1)gtmu_(2)` , then there cannot be a real image of real object

Answer

a,c

Explanation

`(mu_(1))/(v)-(mu_(2))/(u)=(mu_(1)-mu_(2))/(R)`
`rArr (mu_(1))/(v)-(mu_(2))/(u)lt0 rArr(mu_(1))/(v)lt(mu_(2))/(u)`
`rArr (v)/(u)gt(mu_(1))/(mu_(2)) rArr(v)/(u)gt0`
`rArr` `v` and `u` must have same sign.