Question

3 numerical on mirror formula

Answer 1

Answer:

Equation

The radius of curvature of a convex mirror used for rearview on a car is 4.00 m. If the location of the bus is 6 meters from this mirror, find the position of the image formed.

Solution:

Given:

The radius of curvature (R)= +4.00 m

Object distance(u) = -6.00 m

Image distance(v) = ?

Formula used:

f=R/2 1/v+1/u=1/f

Calculation:

To calculate the Focal length of the given mirror, substitute the value of Radius of Curvature (R) in the f=R/2. We get-

f=+4.00m2=+2m

Since, 1/v+1/u=1/f we can re- arrange it as –

1/v=1/f−1/u

On substituting the values in the above equation we get-

⇒1/v=1+2.00−1/(−6.00) =12.00+16.00 6+22×6=812 v=128

= 1.5 meter.

The image is 1.5 meters behind the mirror.

The mirror is a polished surface which reflects the incident light to form the image. Here reflected light will have a wavelength and many other physical properties almost the same as that of the incident light