Questions
Mass of moon is (1/81) times that of earth and its radius is (1/4) as the radius of the earth' If the value of escape velocity at the surface of earth is 11 ' 2 km,/sec, its value at the surface of moon is
a
0.14km/sec
b
0.5 km/sec
c
2.5km/sec
d
5km/sec
detailed solution
Correct option is C
The escape velocity is given byve=2GMR1/2For earth,11⋅2=2GMeRe1/2………..(1)For moon, vm=2GMe/81Re/41/2……(2)From eq. (2),vm=292GMeRe1/2=29×11⋅2=2⋅5km/secTalk to our academic expert!
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