(a) The nature of lens A is convex because it has a positive focal length, i.e $+$20 cm. The nature of lens B is concave because it has a negative focal length, i.e $-$10cm. (b) Given: Focal length of lens A, $f_A$ = $+$20 cm = $+$0.2 m Focal length of lens A, $f_B$ = $-$10 cm = $-$0.1 m To find: Power of lens A, $(P_A)$ and lens B, $(P_B)$. Solution: Power of the lens is given by- $P=\frac {1}{f}$ Substituting the given values we get- $P_A=\frac {1}{0.2}=\frac {10}{2}=+5D$ $P_B=\frac {1}{-0.1}=-\frac {10}{1}=-10D$ Thus, the power of lens A, $(P_A)$ and lens B, $(P_B)$ is +5D and -10D respectively. (c) The power of combination, if lenses A and B are held close together, is given as- $P=P_A+P_B=5D+(-10D)=5D-10D=-5D$ Thus, the power of the combination of lenses A and B is -5D.
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