Question

In a conservative field, the potential energy U as a
function of position x is given by U = x2. Then the
corresponding conservative force is given by
[NCERT Pg. 121]
0)
(2) 2x
3) –X
(4) -2x​

Answer 1

hope it helps you ❤️....

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

In a conservative field, the potential energy U as a

function of position x is given by U = x²

Then the corresponding conservative force is given by

(1) 0

(2) 2x

(3) - x

(4) - 2x

FORMULA TO BE IMPLEMENTED

If in a conservative field, the potential energy U then conservative force

$\displaystyle \sf{F = - \frac{d U}{dx}}$

EVALUATION

Here it is given that In a conservative field, the potential energy U as a function of position x is given by U = x²

Then the corresponding conservative force is given by

$\displaystyle \sf{F = - \frac{d U}{dx}}$

$\displaystyle \sf{ \implies \: F = - \frac{d }{dx}( {x}^{2} )}$

$\displaystyle \sf{ \implies \: F = - 2x}$

FINAL ANSWER

Hence the correct option is (4) - 2x

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