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The correct statement about probability density (except at infinite distance from nucleus) is:
(1). (It can be zero for 1s orbital)
(2). (It can be negative for 2p orbital)
(3). (It can be zero for 3p orbital)
(4). (It can never be zero for 2s orbital)
3p has 1 radial node ($n - \ell - 1 = 3 - 1 - 1 = 1$), so $\psi^2$ can be zero.
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