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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 in 2 MSD + 37 circular scale divisions. Find radius of curvature of convex mirror.

A

20.003 cm

B

18.408 cm

C

17.399

D

17.983 cm

Answer

18.408 cm

Explanation

Solution

Least count = 1/10100\frac { 1 / 10 } { 100 } = 10–3 cm

h = 2 × (0.1) + 37 (10–3) = 0.237 cm

R = l26 h\frac { l ^ { 2 } } { 6 \mathrm {~h} } +=251.362\frac { 25 } { 1.362 }+ 0.118 = 18.408 cm