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State whether the following statements a...

State whether the following statements are 'True or False'. Correct the false statement:
The escape velocity on the Moon is less than that on the Earth

Text Solution

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The correct Answer is:
1
The formula for escape velocity is ,
`v_("esc")=sqrt((2GM)/(R))`
As , for moon, both M and R are smaller than that for the earth , the combined result of change in M and R makes the escape velocity of the moon lesser than of earth.
[Note: `(v_("esc"))_(M)=sqrt((2GM_(M))/(R_(M)))=sqrt((2xx6.67xx10^(-11)xx7xx10^(22))/(1.8xx10^(6)))`
`=2.3xx10^(3)"m/s"~~2.3"km/s"`
`"While", (v_("ese"))=11.2"km/s"` ]
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