Q.

The initial velocity vi required to project a body vertically upward from the surface of the earth to reach a height of 10R, where R is the radius of the earth, may be described in terms of escape velocity ve such that  vi=xy×ve. The value of x will be——

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya

answer is 10.

(Unlock A.I Detailed Solution for FREE)

Detailed Solution

Conservation of energy, Ui+Ki=Uf+Kf⇒−GMmR+12mvi2=−GMm11R+0 If vi=kv⇒12k2ve2=1011GMR Put ,ve=2GMR⇒12k22GMR=1011GMR⇒k2=1011 As per question, k=xy⇒k2=1011=xy So, x=10
Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon