Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

A man can throw a ball at a speed on the earth which can cross a river of width 10 m. The man reaches on an imaginary planet whose mean density is twice that of the earth. Find out the maximum possible radius of the planet (in km) so that if the man throws the ball at the same speed it may escape from the planet. Given radius of the earth = 6.4 x 106 m.

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 4.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

Let the speed of the ball which can cross 10 m wide river be V. Then R=V2sin⁡2×45∘g=10,v=10gLet the radius of planet be ' Rp', then mass of the planetMp=43πRp3×2σ=43πRp3×2×Me4/3πReR=2MeRp3Re3Escape velocity of the PlanetVe=2GMpRp=2G×2×MeRp3Rp×Re3=10GMeRe22Rp=10Re⇒2Rp=10×6.4×106⇒ Rp=8×1032=4×103=4km
Watch 3-min video & get full concept clarity

courses

No courses found

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon