1.

Calculate focal length of a spherical mirror from the following observations, ObjectExampledistance u (50.1 t0.5) cm ond image distance v- (20.1+02) cm

Answer»

we know that the focal length is given as1/f = 1/v + 1/uso,1/f = 1/50.1 + 1/20.1or1/f = 1/0.0697thus, the focal length will bef = 14.34 cmthus, the corresponding error equation would beΔf/f = Δu/u + Δv/vso,Δf = f.(Δu/u + Δv/v)orΔf = 14.34 [(0.1/20.1) + (0.2/50.1)]

orΔf = 14.34 [0.00497 + 0.00399]

thus,

Δf = 0.13so, the final value is

f +- Δf = 14.34 +- 0.13 cm



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