JEE (Advanced) 2018 Paper-1 Question 1

Question 1

The potential energy of a particle of mass ๐‘š at a distance ๐‘Ÿ from a fixed point ๐‘‚ is given by $$v(r)=\frac{kr^{2}}{2}$$where ๐‘˜ is a positive constant of appropriate dimensions. This particle is moving in a circular orbit of radius ๐‘… about the point ๐‘‚. If ๐‘ฃ is the speed of the particle and ๐ฟ is the magnitude of its angular momentum about ๐‘‚, which of the following statements is (are) true?where ๐‘˜ is a positive constant of appropriate dimensions. This particle is moving in a circular orbit of radius ๐‘… about the point ๐‘‚. If ๐‘ฃ is the speed of the particle and ๐ฟ is the magnitude of its angular momentum about ๐‘‚, which of the following statements is (are) true?



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