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II. Short Answer Questions · Q14

Q.Why is there no lunar eclipse and solar eclipse every month?

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Concept understanding — Lunar Eclipse and Earth's Umbra Shadow

What happens during a total lunar eclipse. The Sun, Earth and Moon line up, and the Moon passes through the Earth's shadow. The fully-dark inner region of that shadow is the umbra; a lighter, partially-shadowed outer region is the penumbra. A Moon fully inside the umbra typically appears reddish (sunlight bent through Earth's atmosphere still reaches it), and as it exits the umbra it briefly appears as a crescent shape.

Measuring the umbra's size from a photograph. By photographing the eclipse and measuring the apparent radius of the umbra shadow (RsR_s) against the Moon's own apparent radius (RmR_m) directly on the image, their ratio can be found (about Rs/Rm≈2.56R_s/R_m\approx2.56, from the January 2018 eclipse visible from Tamil Nadu). Since the Moon's true radius is already known (Rm=1737 kmR_m=1737\ \text{km}), this ratio immediately gives the umbra's true radius: Rs≈2.56×1737≈4446 kmR_s\approx2.56\times1737\approx4446\ \text{km}, within about 3.5%3.5\% of the correct value of 4610 km4610\ \text{km} -- an impressively accurate result from a very simple photographic measurement, with the accuracy improving with a higher-quality telescope image. …

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