Question

2.9 The photograph of a house occupies an area of 1.75 cm2 on a 35 mm slide. The slide
is projected on to a screen, and the area of the house on the screen is 1.55 m2. What
is the linear magnification of the projector-screen arrangement.
​

Answer 1

Answer:

94.11 (Approximately)

Step-By-Step-Explanation:

Given:

Area the house occupies in the slide = 1.75 cm^2

Area of the image that the house forms on the screen = 1.55 m^2

Converting the area of the house into cm^2 by multiplying by 10^4:

= 1.55 x 10^4 cm^2

To Find:

Linear Magnification of the projector-screen arrangement

Calculating:

Formula used to calculate Arial magnification:

= Area of image /  Area of object

Substituting the values known to us in this formula we get:

= 1.55 / 1.75 x 10^4

= 8857.14285714   (Approximately)

Formula used to calculate the linear magnification:

= √Arial Magnification

(Square Root Arial Magnification)

Substituting the value we obtained for Arial magnification in this formula we get:

= √8857.14285714

= 94.1123948114  

= 94.11 (Approximately)

Therefore, the linear magnification of the projector-screen arrangement is 94.11.