A film projector magnifies a 100 cm2 film strip on a screen. If the linear magnification is 4, the area of the magnified film on the screen is:

Question

A film projector magnifies a 100 cm2 film strip on a screen. If the linear magnification is 4, the area of the magnified film on the screen is: (A)  1600 cm2  (B)  400 cm2  (C)  800 cm2  (D)  200 cm2

Tardigrade Admin · Accepted Answer

Linear magnification =4 Areal magnification = text (linear magnification) 2 =(4)2=16 Therefore, area of magnified flim on the screen = areal magnification × area =16 × 100 =1600 cm 2

Q. A film projector magnifies a $100 c m^{2}$ film strip on a screen. If the linear magnification is $4$ , the area of the magnified film on the screen is:

$1600 c m^{2}$

$400 c m^{2}$

$800 c m^{2}$

$200 c m^{2}$

Linear magnification $= 4$
Areal magnification $= (linear magnification)^{2}$
$= (4)^{2} = 16$
Therefore, area of magnified flim on the screen
$=$ areal magnification $\times$ area
$= 16 \times 100$
$= 1600 c m^{2}$

Q. A film projector magnifies a 100cm2 film strip on a screen. If the linear magnification is 4, the area of the magnified film on the screen is:

1600cm2

400cm2

800cm2

200cm2