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An asteroid of mass m is approaching ear...

An asteroid of mass `m` is approaching earth, initially at a distance `10R_(E)` with speed `v_(i)`. It hits earth with a speed `v_(f)` (`R_(E)` and `M_(E)` are radius and mass of earth),. Then

A

`v_f^2=v_i^2+(2GM)/(M_eR)(1-1/(10))`

B

`v_f^2=v_i^2+(2GM_e)/(R_e)(1+1/(10))`

C

`v_f^2=v_i^2+(2GM_e)/(R_e)(1-1/(10))`

D

`v_f^2=v_i^2+(2GM)/(R_e)(1+1/(10))`

Text Solution

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The correct Answer is:
C
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