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The photograph of a house occupies …

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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 1.55m2. What is the linear magnification of the projector - screen arrangement?
  • 2 answers

Lifes Crush 4 years, 3 months ago

Thank you.

Gaurav Seth 4 years, 3 months ago

➧ Area of the house on the slide
➾ 1.75 cm²

➧ Area of the image of the house formed on the screen
➾ 1.55 m²

➾ 1 m = 100 cm
➾ 10² cm

➧ Area of the image of the house formed on the screen

➾ 1.55 m² = 1.55 × (10² cm)²
➾ 1.55 × 10^4 cm²
➧ Arial magnification

➾ area of image / area of slide

➾ 1.55 × 10^4 cm² / 1.75 cm²
➾ 0.8857 × 10^4  

➧ Linear magnifications

➾ √(Arial magnification )

➾ √(0.8857 × 10^4)

➾ 0.9411 × 10²

➾ 94.11

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