A) increasing
B) decreasing
C) first increases then decreases
D) first decreases and then increases.
Correct Answer: B
Solution :
\[{{V}_{i}}=\frac{{{v}^{2}}}{{{u}^{2}}}{{V}_{0}}\] & \[v=\frac{uf}{-\,u-f}\] \[\Rightarrow \] \[\frac{-f}{u+f}=\frac{v}{u}\] \[{{V}_{\text{rel}}}={{V}_{0}}-{{V}_{i}}=\left( 1-\frac{{{v}^{2}}}{{{u}^{2}}} \right){{V}_{0}}=\left[ 1-{{\left( \frac{f}{f+u} \right)}^{2}} \right]{{V}_{0}}\] As u increases \[{{v}_{\text{rel}}}\] decreases
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