Question

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Answer (Detailed Solution Below)

Option 4 : 2.36 km/s / 2.36 km/s

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Detailed Solution

सही उत्तर 2.36 km/s / 2.36 km/s है।

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Question:

Taking the Moon's surface gravity as $1.6$ m/s² and its radius as $1.74 \times 10^{6}$ m, the escape velocity from the Moon is / चंद्रमा की सतह पर गुरुत्व $1.6$ m/s² तथा त्रिज्या $1.74 \times 10^{6}$ m लेकर, चंद्रमा से पलायन वेग है

1.
11.2 km/s / 11.2 km/s
2.
1.68 km/s / 1.68 km/s
3.
2.36 m/s / 2.36 m/s
4.
2.36 km/s / 2.36 km/s

Correct Answer: 2.36 km/s / 2.36 km/s

$v_{e} = \sqrt{2gR} = \sqrt{2(1.6)(1.74 \times 10^{6})} = \sqrt{5.568 \times 10^{6}} = 2.36 \times 10^{3}$ m/s $= 2.36$ km/s. / $v_{e} = \sqrt{2gR} = \sqrt{2(1.6)(1.74 \times 10^{6})} = \sqrt{5.568 \times 10^{6}} = 2.36 \times 10^{3}$ m/s $= 2.36$ km/s।

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