MHT CET · Physics · Atomic Physics
The ratio of energies of photons produced due to transition of electron of hydrogen atom from its (a) second to first energy level and (b) highest energy level to second level is
- A \(1: 3\)
- B \(3: 1\)
- C \(1: 2\)
- D \(4: 1\)
Answer & Solution
Correct Answer
(B) \(3: 1\)
Step-by-step Solution
Detailed explanation
Let \(E_1\) be the energy of the first energy level, then \(E_2=\frac{E_1}{4}\)
For highest level \(\mathrm{E}_{\infty}=0\)
\(\begin{array}{ll}
\therefore & E_2-E_1=\frac{E_1}{4}-E_1=-\frac{3}{4} E_1 \\
& E_{\infty}-E_2=0-\frac{E_1}{4}=-\frac{E_1}{4} \\
\therefore & \frac{E_2-E_1}{E_{\infty}-E_2}=3: 1
\end{array}\)
For highest level \(\mathrm{E}_{\infty}=0\)
\(\begin{array}{ll}
\therefore & E_2-E_1=\frac{E_1}{4}-E_1=-\frac{3}{4} E_1 \\
& E_{\infty}-E_2=0-\frac{E_1}{4}=-\frac{E_1}{4} \\
\therefore & \frac{E_2-E_1}{E_{\infty}-E_2}=3: 1
\end{array}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- The coefficient of thermal conductivity of a rod depends on itsMHT CET 2022 Easy
- Pure water rises through a height \(h\) in a capillary tube of internal radius \(r\). Surface tension of water is \(T\). The pressure difference between the water level in the container and the lowest point of the concave meniscus isMHT CET 2025 Easy
- For transistor, the current ratio ‘ ’ is defined as the ratio ofMHT CET 2019 Easy
- A constant force acts on two different masses independently and produces accelerations \(A_1\) and \(A_2\). When the same force acts on their combined mass, the acceleration produced isMHT CET 2025 Easy
- A convex lens of focal length 40 cm is in contact with a concave lens of focal length 25 cm . The power of combination isMHT CET 2024 Easy
- A monoatomic ideal gas is heated at constant pressure. The percentage of total heat used in increasing the internal energy and that used for doing external work is A and B respectively. Then the ratio, \(\mathrm{A}: \mathrm{B}\) isMHT CET 2025 Medium
More PYQs from MHT CET
- If a random variable \(X\) has the following probability distribution values
Then \(P(X \geq 6)\) has the valueMHT CET 2024 Easy - Two open pipes of different lengths and of same diameter in which the air column vibrates with fundamental frequencies ‘ ’, and ‘ ’ respectively. When both pipes are joined to form a single pipe, its fundamental frequency will beMHT CET 2019 Hard
- Current I is carried in a wire of length ' \(L\) '. If wire is bent into a circular coil of single turn, the maximum torque in a given magnetic field \(B\) isMHT CET 2025 Medium
- Three charges each of \(+1 \mu \mathrm{C}\) are placed at the corners of an equilateral triangle. If the repulsive force between any two charges is \(\mathrm{F}\), then the net force on either charge will beMHT CET 2021 Medium
- A rotating body has angular momentum ' \(L\) '. If its frequency is doubled and kinetic energy is halved, its angular momentum will beMHT CET 2024 Easy
- What is the effective atomic number of Zn in [Zn (NH \(\left.\left._{3}\right)_{4}\right] \mathrm{SO}_{4}\) ? (at. no. of \(\mathrm{Zn}=30\) )MHT CET 2020 Medium