P is the probability of finding the 1s electron of hydrogen atom in a spherical shell of infinitesimal thickness, dr, at a distance r from the nucleus. The volume of this shell is 4πr2dr . The qualitative sketch of the dependence of P on r is
Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.
Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA
The probability P of finding the 1s electron at distance r is given by the radial probability density: P(r) = R(r)² × 4πr²dr, where R(r) is the radial wavefunction. For hydrogen 1s orbital, R(r) ∝ e-r/a₀, so P(r) ∝ r²e-2r/a₀.
This function starts at P(0)=0, increases to a maximum, then decreases exponentially. The correct sketch shows P=0 at r=0, a single peak, and asymptotic decay.
Final answer: The second image (top-right graph) is correct.