Question

A point source of light illuminates an aperture 2.00 m away. A 15.0 cm -wide bright patch of light appears on a screen 2.00 m behind the aperture. How wide is the aperture?

Answer 1

The aperture is 0.075cm wide

Step-by-step explanation:

Formular for determining the wideness of an aperture is given by:

D= F/N

Where D= diameter

F= focal length

N= f- number or wideness

DN= F

N= F/N

Given:

F=15.0cm

D= 2.0m= 200cm

N= (15/200)cm

N= 0.075cm

Answer 2

wide is the aperture is 7.5 cm

Step-by-step explanation:

Given data

aperture away = 2.00 m

wide bright = 15 cm = 0.15 m

screen behind the aperture = 2.00 m

to find out

How wide is the aperture

solution

we know here we have a triangle shape that height will be

2 + 2 = 4 m and base 0.15 m

so we now easy find w by triangle

w / 2 = 0.15 / 4

so w = 0.15 / 4 × 2

so w = 0.075 m

wide is the aperture is 7.5 cm