The divergent lens in m linear magnification produced by the lens is

Options

A. m
B. `(1)/(m)`
C. `m+1`
D. `(1)/(m+1)`

Answer

D

Explanation

Here, u=mf …(i)
Linear magnification, `M=(v)/(u)` …(ii)
According to lens formula, `(1)/(v)-(1)/(u)=(1)/(f)` ...(iii)
Multiplying by u on both sides of eqn. (iii), we get
`(u)/(v)-1=(u)/(f)implies(1)/(M)-1=m` (Using (i) and (ii))
`(1)/(M)=m+1` or `M=(1)/(m+1)`