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Numericals · Q50

Q.A person uses spectacles of 'number' 2.00 for reading. Determine the range of magnifying power (angular magnification) possible. It is a concavo-convex lens (n = 1.5) having curvature of one of its surfaces to be 10 cm. Estimate that of the other.

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Spectacle number 2.00 means focal power P=+2 D, so f=1/P=0.5 m=50 cm. Magnifying power range (as a simple lens/magnifier): M_min=D/f=25/50=0.5; M_max=1+D/f=1+0.5=1.5. For the concavo-convex lens (n=1.5) with one radius R1=10 cm: using the lens maker's equation 1/f=(n-1)(1/R1-1/R2): 1/50=0.5(1/10-1/R2), so …

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