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A spherical mirror has a radius of curvature of 22 cm. If the mirror is concave,

ID: 1492237 • Letter: A

Question

A spherical mirror has a radius of curvature of 22 cm. If the mirror is concave, its focal length is

a)-11cm.

b) 11 cm.

c) -22 cm.

d) 22 cm.

e) -44 cm

The answer is not -11cm.; so please do no generate this answer for a possible solution. Also please remeber while sovling the problem to get full credit you will need to display formulas and all reasoning thoughout the completion of this problem. Your time and problem solving skills are greatly appreciated. Thank you very much.

a)-11cm.

b) 11 cm.

c) -22 cm.

d) 22 cm.

e) -44 cm

The answer is not -11cm.; so please do no generate this answer for a possible solution. Also please remeber while sovling the problem to get full credit you will need to display formulas and all reasoning thoughout the completion of this problem. Your time and problem solving skills are greatly appreciated. Thank you very much.

Explanation / Answer

+11cm.

As you already know the numerical value of focal length for mirror as it is half of the radius of curvature.

For sign convention,

The general and easy rule to remember sign convention for concave and convex mirror or lenses or any optical components is thinking about the power.

The power of an optical component is calculated by 1/foacl length. It is negative for components which diverge parallel incident rays of light and positive for components which converge the same.

Accordingly convex lenses and concave mirrors have positive power and focal length.

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