Question

The radius of curvature of spherical mirror is 30cm.find its focal length ?​

Answer 1

Answer:

R = 30 cm

And , R = 2f

• So , f = R/2
• f = 30/2
• f = 15 cm

Answer 2

Answer: The focal length of the spherical mirror with a radius of curvature of 30 cm is 15 cm.

The focal length of a spherical mirror can be found using the formula:

                               1/f = (1/R) - (1/d)

where f is the focal length, R is the radius of curvature, and d is the distance from the center of the mirror to its surface (also known as the mirror's radius).

For a spherical mirror, d is half of R.

In this case, R = 30 cm, so d = R/2 = 30 cm / 2 = 15 cm.

Substituting these values into the formula, we get:

                              1/f = (1/30) - (1/15)

Solving for f, we get:

                                 f = 30 / (1 + 2/15)

                                   = 30 / (1 + 4/30)

                                   = 30 / (30/30 + 4/30)

                                   = 30 / (34/30)

                                   = 30 * 30/34  

                                    = 30 * 15/17

                                 f = 15 cm

So the focal length of the spherical mirror with a radius of curvature of 30 cm is 15 cm.

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