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Describe the measurement of Earth's shad...

Describe the measurement of Earth's shadow (umbra) radius during total lunar eclipse.

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(i) It is possible to measure the radius of shawdow of the Earth at the point where the Moon crosses.
(ii) When the Moon is inside the umbra shadow, it appears red in colour. As soon as the Moon exits from the umbra shadow, it appears in crescent shape.
(iii) By finding the apparent radii of the Earth's Umbra shadow and the Moon, the ratio of the these radii can be calculated. This is shown in figure.

(iv) Schematic diagram of umbra disk radius. The apparent radius of Earth's umbra shadow = `R_(S) = 13.2 cm`
The apparent radius of the Moon = `R_(m) = 5.15 cm`
(v) The ratio `(R_s)/(R_m) = 2.56`
The radius of the Earth's umbra shadow is
`R_(s) = 2.56 xx R_(m)`.
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