Which one of the following about an electron | vedclass

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(D) The wave function for the $1s$ orbital of a hydrogen atom is given by $\Psi_{1s} = \frac{1}{\sqrt{\pi a_0^3}} e^{-r/a_0}$.$A.$ The probability den

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The total energy of the electron is maximum when it is at a distance $a_0$ from the nucleus

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(D) The wave function for the $1s$ orbital of a hydrogen atom is given by $\Psi_{1s} = \frac{1}{\sqrt{\pi a_0^3}} e^{-r/a_0}$.$A.$ The probability density $\Psi^2$ is proportional to $e^{-2r/a_0}$. At $r = 0$ (nucleus),$\Psi^2$ is maximum. This statement is correct.$B.$ The electron has a non-zero probability of being found at any distance $r$ from the nucleus,including $2a_0$. This statement is correct.$C.$ The $1s$ orbital has no angular dependence,making it spherically symmetrical. This statement is correct.$D.$ The total energy of an electron in a hydrogen atom is given by $E_n = -\frac{13.6 \ eV}{n^2}$. This energy is constant for a given orbital and does not depend on the distance $r$ from the nucleus. The energy is maximum (zero) at $r = \infty$. Therefore,this statement is incorrect.

Column-$A$	Column-$B$
$(1)$ Dalton	$(A)$ Photoelectric effect
$(2)$ Maxwell	$(B)$ Wave theory
$(3)$ Huygens	$(C)$ Atomic theory
	$(D)$ Electromagnetic radiation

Which one of the following about an electron occupying the $1s$ orbital in a hydrogen atom is incorrect? (Bohr's radius is represented by $a_0$)

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Which of the following statements is $CORRECT$?

In which of the following transitions is one quantum of energy emitted?

Match the items in Column-$A$ with the items in Column-$B$.

Column-$A$ Column-$B$

$(1)$ Dalton $(A)$ Photoelectric effect

$(2)$ Maxwell $(B)$ Wave theory

$(3)$ Huygens $(C)$ Atomic theory

$(D)$ Electromagnetic radiation

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Reason : The energy is released in the form of a wave of light when an electron drops from $2p_x$ to $2p_y$ orbital.

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