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Units and Measurements — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysicsUnits and Measurements5 Marks
Question
It is a well known fact that during a total solar eclipse the disk of the moon almost completely covers the disk of the Sun. From this fact and from the information you can gather from examples 2.3 and 2.4, determine the approximate diameter of the moon.
✓

Answer

The position of the Sun, Moon, and Earth during a lunar eclipse is shown in the given figure.

Distance of the Moon from the Earth = 3.84 × 108m
Distance of the Sun from the Earth = 1.496 × 1011m
Diameter of the Sun = 1.39 × 109m
It can be observed that $\Delta\text{TRS}$ and $\Delta\text{TPQ}$ are similar. Hence, it can be written as:
PQ/RS = VT/UT
1.39 × 109/RS = 1.496 × 1011/3.84 × 108
RS = (1.39 × 3.84/1.496) × 106 = 3.57 × 106m
Hence, the diameter of the Moon is 3.57 × 106m

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