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Question: The legs of a spherometer are 5 cm apart. There are 10 division cm<sup>-1</sup> on linear scale and ...

The legs of a spherometer are 5 cm apart. There are 10 division cm-1 on linear scale and circular scale has 100 divisions. The height h of a convex mirror measured is 2 MSD + 37 circular scales divisions. Find radius of curvature of convex mirror.

A

20.003 cm

B

18.408 cm

C

17.399 cm

D

17.983 cm

Answer

20.003 cm

Explanation

Solution

Least count = 1/10100=103\frac{1/10}{100} = 10^{- 3} cm

h = 2 × (0.1) + 37(10-3) = 0.237 cm

R = l26h+h2=251.362+0.118=18.408cm\frac{l^{2}}{6h} + \frac{h}{2} = \frac{25}{1.362} + 0.118 = 18.408cm