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Q1.9: NCERT Physics - Part 1 UNITS AND MEASUREMENT 1.9 Solution: The photograph of a house occupies an area of 1.75 cm_ on a 35…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often divide the screen area by the slide area without first converting cm² to m², treating the numbers as directly comparable. Always express both areas in the same unit (e.g., convert $1.75\,\text{cm}^2$ to $1.75\times10^{-4}\,\text{m}^2$) before forming the area ratio, then take the square root to obtain linear magnification.

The photograph of a house occupies an area of 1.75 cm_ 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 m_. What is the linear magnification of the projector-screen arrangement?

Step-by-Step Verified Solution

**Answer:** 94.1 **Step-by-Step Explanation:** Area magnification = 1.55 m21.75 cm2=1.551.75×10−4=8857\frac{1.55 \text{ m}^2}{1.75 \text{ cm}^2} = \frac{1.55}{1.75 \times 10^{-4}} = 8857. Linear magnification = 8857=94.1\sqrt{8857} = 94.1.

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