Which one of the following conditions is incorrect for a well-behaved wave function $(\psi)$?

  • A
    $\psi$ must be finite
  • B
    $\psi$ must be single-valued
  • C
    $\psi$ must be infinite
  • D
    $\psi$ must be continuous

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Give the difference between $\psi$ and $|\psi|^2$.

Assertion $(A)$: The probability of finding an electron in a small volume around a point $(x, y, z)$ at a distance $r$ from the nucleus is proportional to $\psi^2$.
Reason $(R)$: Subatomic particles possess both particle and wave nature.

According to Heisenberg's uncertainty principle,the product of uncertainties in position and velocity for an electron of mass $9.1 \times 10^{-31} \ kg$ is

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Heisenberg's uncertainty principle is not applicable to which of the following?

If a proton is accelerated to a velocity of $3 \times 10^7 \text{ ms}^{-1}$ which is accurate up to $\pm 0.5 \%$,then the uncertainty in its position will be $\ldots \ldots \ldots$ [mass of proton $= 1.66 \times 10^{-27} \text{ kg}$,$h = 6.6 \times 10^{-34} \text{ Js}$]

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