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प्रश्न
Four spheres each of mass m form a square of side d (as shown in figure). A fifth sphere of mass M is situated at the centre of square. The total gravitational potential energy of the system is ______.
विकल्प
`-"Gm"/"d"[(4+sqrt2)"m"+4sqrt"M"]`
`-"Gm"/"d"[(4+sqrt2)"M"+4sqrt2"m"]`
`-"Gm"/"d"[(3"m"^2+4sqrt2"M"]`
`-"Gm"/"d"[(6"m"^2+4sqrt2"M"]`
MCQ
रिक्त स्थान भरें
उत्तर
Four spheres each of mass m form a square of side d (as shown in figure). A fifth sphere of mass M is situated at the centre of square. The total gravitational potential energy of the system is `underlinebb(-"Gm"/"d"[(4+sqrt2)"m"+4sqrt"M"])`.
Explanation:
`"U"_"net"=-"Gmm"/"d"xx4-"GMm"/"d"xx4sqrt2-"Gmm"/(sqrt2"d")xx2`
= `-"Gm"/"d"[(4+sqrt2)"m"+4sqrt2"M"]`
shaalaa.com
Gravitational Potential and Potential Energy
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