Question

the focal length of convex mirror is 50 cm . whai is its radius of culvature​

Answer 1

Given:-

• Focal length of convex mirror is 50 cm.

To find:-

• Radius of curvature.

Solution:-

We know that

R = 2f or f = R/2

In which,

• R is Radius of curvature.
• f is focal length of mirror.

f = Focal length = 50 cm [Given]

For Radius of curvature,

Put the Focal length in above formula

$\implies \sf \: R = 2 \times f$

$\implies \sf \: R = 2 \times 50$

$\implies \sf \:R = 100$

Therefore,

Radius of curvature of convex mirror is 100 cm.

Answer 2

Given:-

• Focal length of convex mirror is 50 cm.

To find:-

• Radius of curvature.

Solution:-

☆Note this,

• $\rm \: </strong><strong>R</strong><strong> = 2f$
• $\rm \: f = \frac{</strong><strong>R</strong><strong>}{2}$

_______________________________

• Radius of curvature is denoted by R

• focal length of mirror is denoted by f

f = Focal length = 50 cm [Given]

For Radius of curvature,

Put the Focal length in above formula

$\rm \: ⟹R=2×f$

$\rm \: ⟹R=2×50$

$\rm \: ⟹R=100$

$\fbox{R = 100 cm}$

• Therefore the value of radius of curvature is 100 cm .

_____________________________

Learn more:-

Focal lenght:-

The focal length of an optical system is a measure of how strongly the system converges or diverges light; it is the inverse of the system's optical power. A positive focal length indicates that a system converges light, while a negative focal length indicates that the system diverges light. 

$\rm \: f = \frac{R}{2}$

Radius of curvature:-

the radius of curvature, R, is the reciprocal of the curvature. For a curve, it equals the radius of the circular arc which best approximates the curve at that point. For surfaces, the radius of curvature is the radius of a circle that best fits a normal section or combinations thereof.

$\rm \: R= 2f$