Which of the following graphs is correct for the kinetic energy $(K.E.)$ of an electron in the $n^{th}$ orbit of a hydrogen-like atom?
- A
- B
- C
- D
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For the given electronic transitions,which of the following statements is correct?
Medium
View SolutionMatch the items in List-$I$ with the items in List-$II$.
List-$I$ List-$II$ $A$. Nodes $I$. Three dimensional shape of the orbital $B$. Subsidiary quantum number $II$. Significant only for motion of microscopic objects $C$. White light $III$. $|\psi|^2$ is zero $D$. Heisenberg uncertainty principle $IV$. Spin state of electron $V$. Continuous spectrum
| List-$I$ | List-$II$ |
|---|---|
| $A$. Nodes | $I$. Three dimensional shape of the orbital |
| $B$. Subsidiary quantum number | $II$. Significant only for motion of microscopic objects |
| $C$. White light | $III$. $|\psi|^2$ is zero |
| $D$. Heisenberg uncertainty principle | $IV$. Spin state of electron |
| $V$. Continuous spectrum |
Match the equations given in List-$I$ with their names in List-$II$.
List-$I$ List-$II$ $(1)$ $\Delta x \cdot \Delta p \ge \frac{h}{4\pi}$ $(A)$ De Broglie equation $(2)$ $mvr \ge \frac{nh}{2\pi}$ $(B)$ Uncertainty principle $(3)$ $\lambda = \frac{h}{\sqrt{2m(KE)}}$ $(C)$ Frequency equation of $H$-spectrum $(4)$ $\nu = 3.29 \times 10^{15} \left( \frac{1}{n_i^2} - \frac{1}{n_f^2} \right)$ $(D)$ Angular momentum is quantized
| List-$I$ | List-$II$ |
| $(1)$ $\Delta x \cdot \Delta p \ge \frac{h}{4\pi}$ | $(A)$ De Broglie equation |
| $(2)$ $mvr \ge \frac{nh}{2\pi}$ | $(B)$ Uncertainty principle |
| $(3)$ $\lambda = \frac{h}{\sqrt{2m(KE)}}$ | $(C)$ Frequency equation of $H$-spectrum |
| $(4)$ $\nu = 3.29 \times 10^{15} \left( \frac{1}{n_i^2} - \frac{1}{n_f^2} \right)$ | $(D)$ Angular momentum is quantized |
Medium
View SolutionIn which of the following transitions is one quantum of energy emitted?
Medium
View SolutionMatch the following items:
$A$. Energy of ground state of $He^+$ $i$. $+6.04 \text{ eV}$ $B$. Potential energy of $I$ orbit of $H$ atom $ii$. $-27.2 \text{ eV}$ $C$. Kinetic energy of $II$ excited state of $He^+$ $iii$. $8.72 \times 10^{-18} \text{ J}$ $D$. Ionization potential of $He^+$ $iv$. $-54.4 \text{ eV}$
| $A$. Energy of ground state of $He^+$ | $i$. $+6.04 \text{ eV}$ |
| $B$. Potential energy of $I$ orbit of $H$ atom | $ii$. $-27.2 \text{ eV}$ |
| $C$. Kinetic energy of $II$ excited state of $He^+$ | $iii$. $8.72 \times 10^{-18} \text{ J}$ |
| $D$. Ionization potential of $He^+$ | $iv$. $-54.4 \text{ eV}$ |
Difficult
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