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Question

Physics Question on Ray optics and optical instruments

A person has been using spectacles of power 1.0-1.0 dioptre for distant vision and a separate reading glass of power 2.02.0 dioptres What is the least distance of distinct vision for this person :

A

10 Cm

B

40 Cm

C

30 Cm

D

50 Cm

Answer

50 Cm

Explanation

Solution

The correct option is(D): 50cm

!v1u=1f\frac{!}{v}-\frac{1}{u}=\frac{1}{f^{'}}
P=2D=2m-1
1f=2100cm1\frac{1}{f}=\frac{2}{100}cm^{-1}
1V(125)=2100\frac{1}{V}-(-\frac{1}{25})=\frac{2}{100}
1V=150125\frac{1}{V}=\frac{1}{50}-\frac{1}{25}

V=-50 cm