MCQ
Hydrogen (H), deuterium (D), singly ionized helium ($He^+$) and doubly ionized lithium (Li) all have one electron around the nucleus. Consider n =2 to n = 1 transition. The wavelengths of emitted radiations are $\lambda 1,\lambda 2, \lambda 3$ and $\lambda 4$ respectively. Then approximately
  • $\lambda_1=\lambda_2=4 \lambda_3=9 \lambda_4$
  • B
    ${ }_4 \lambda_1=2 \lambda_2=2 \lambda_3=\lambda_4$
  • C
    $\lambda_1=2 \lambda_2=2 \sqrt{2} \lambda_3=3 \sqrt{2} \lambda_4$
  • D
    $\lambda_1=\lambda_2=2 \lambda_3=3 \sqrt{2} \lambda_4$

Answer

Correct option: A.
$\lambda_1=\lambda_2=4 \lambda_3=9 \lambda_4$
(a) $\lambda_1=\lambda_2=4 \lambda_3=9 \lambda_4$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The voltage of $AC$ source varies with time according to the equation, $V = 100\, \sin 100\, \pi \, t \, \cos \,100\, \pi \,t$. Where $t$ is in second and $V$ is in volt. Then:-
A condenser of $2\,\mu F$ capacitance is charged steadily from $0$ to $5$ $Coulomb$. Which of the following graphs correctly represents the variation of potential difference across its plates with respect to the charge on the condenser
If the current is halved in a coil, then the energy stored is how much times the previous value
In the adjoining circuit, the $e.m.f.$ of the cell is $2\, volt$ and the internal resistance is negligible. The resistance of the voltmeter is $80 \,ohm$. The reading of the voltmeter will be ............. $volt$
A beam of fast moving alpha particles were directed towards a thin film of gold. The parts $A',\;B'$ and $C'$of the transmitted and reflected beams corresponding to the incident parts $A, B$ and $C$ of the beam, are shown in the adjoining diagram. The number of alpha particles in
Mosley measured the frequency $(f)$ of the characteristic $X-$ rays from many metals of different atomic number $(Z)$ and represented his results by a relation known as Mosley's law. This law is ($a, b$ are constants)
Energy is stored in a capacitor in the form of:
Consider the circuit shown in the figure
In a transformer the primary has 500 turns and secondary has 50 turns. 100 volts are applied to the primary coil, the voltage developed in the secondary will be
The sun emits a light with maximum wavelength 510 mm while another star X emits a light with maximum wavelength of 350 nm. What is the ratio of surface temperature of sun and the star X