Question

 u is object distance and v is image distance formed by convex lens of focal length f. The error in focal length shall be. (Error in measuring u & v are \(\triangle\)u & \(\triangle\)v) 

(1) 2f \((\frac{\triangle{v}}{\triangle{u}}+\frac{\triangle{u}}{u})\)

2) f² \((\frac{\triangle{v}}{{v^2}}+\frac{\triangle{u}}{u^2})\) 

3) f\(((\frac{\triangle{v}}{{v}})^2+\frac{\triangle{u}}{u})^2)\) 

4) \(\frac{\triangle{v}}{{v}}+\frac{\triangle{u}}{u}\)

Answer 1

Correct Option is (2) \(f^2(\frac{\triangle{v}}{{v^2}}+\frac{\triangle{u}}{u^2})\)