A particle in a certain conservative force field has a potential energy given by \( U=\frac{20 x...

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A particle in a certain conservative force field has a potential energy given by \( U=\frac{20 x y}{z} \). The force exerted on it is
[AMU (Med.) 2012]
(a) \( \left(\frac{20 y}{z}\right) \hat{i}+\left(\frac{20 x}{z}\right) \hat{j}+\left(\frac{20 x y}{z^{2}}\right) \hat{k} \)
(b) \( -\left(\frac{20 y}{z}\right) \hat{i}-\left(\frac{20 x}{z}\right) \hat{j}+\left(\frac{20 x y}{z^{2}}\right) \hat{k} \)
(c) \( -\left(\frac{20 y}{z}\right) \hat{i}-\left(\frac{20 x}{z}\right) \hat{j}-\left(\frac{20 x y}{z^{2}}\right) \hat{k} \)
(d) \( \left(\frac{20 y}{z}\right) \hat{i}+\left(\frac{20 x}{z}\right) \hat{j}-\left(\frac{20 x y}{z^{2}}\right) \hat{k} \)
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