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Question

A particle is moving in a potential region given by U=K(x2+y2+z2). The force acting on the particle is given by:

A
2K(x^i+y^j+z^k)
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B
K(x^i+y^j+z^k)
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C
K2(x^i+y^j+z^k)
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D
K(x2^i+y2^j+z2^k)
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Solution

The correct option is A 2K(x^i+y^j+z^k)
The relation between potential energy and force is given by,
F=(Ux^i+Ux^j+Ux^k)
Putting the value of U in the above equation will get,
F=2K(x^i+y^j+z^k)

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