If P(r)is the radial probability density function for an electron in the ground state of a hydrogen atom,the most probable value for r can be found from A)dP/dt B)dP/dr C) $\int r P ( r ) 4 \pi r ^ { 2 } d r$ D) $\int r P ( r ) d r$ E)d²P/dr²

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Quizplus · Accepted Answer

The radial probability density function gives the probability of finding the electron at a certain distance r from the nucleus. The most probable value for r is the peak of the function, which corresponds to the maximum value of dP/dr. Therefore, option B, dP/dr, is the best choice for finding the most probable value of r.

If P(r)is the Radial Probability Density Function for an Electron ∫rP(r)4πr2dr\int r P ( r ) 4 \pi r ^ { 2 } d r∫rP(r)4πr2dr

If P(r)is the Radial Probability Density Function for an Electron $\int r P ( r ) 4 \pi r ^ { 2 } d r$