JEE Mains · Physics · STD 12 - 12. atoms
In a hydrogen atom the electron makes a transition from \(( n +1)^{\text {th }}\) level to the \(n ^{\text {th }}\) level. If \(n>>1,\) the frequency of radiation emitted is proportional to
- A \(\frac{1}{n^{4}}\)
- B \(\frac{1}{n^{3}}\)
- C \(\frac{1}{n^{2}}\)
- D \(\frac{1}{n}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{n^{3}}\)
Step-by-step Solution
Detailed explanation
In hydrogen atom, \(E _{ n }=\frac{- E _{0}}{ n ^{2}}\) Where \(E _{0}\) is Ionisation Energy of \(H\). \(\rightarrow\) For transition from \((n+1)\) to \(n,\) the energy of emitted radiation is equal to the difference in energies of levels. \(\Delta E = E _{ n +1}- E _{ n }\)…
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
- A light hollow cube of side length 10 cm and mass 10 g , is floating in water. It is pushed down and released to execute simple harmonic oscillations. The time period of oscillations is \(y \pi \times 10^{-2} \mathrm{~s}\), where the value of \(y\) is ________.
(Acceleration due to gravity, \(g=10 \mathrm{~m} / \mathrm{s}^2\), density of water \(=10^3 \mathrm{~kg} / \mathrm{m}^3\) )JEE Mains 2025 Hard - The pressure \(( P )\) and temperature \(( T )\) relationship of an ideal gas obeys the equation \(PT ^2=\) constant. The volume expansion coefficient of the gas will be:JEE Mains 2023 Hard
- Consider a uniform cubical box of side \(a\) on a rough floor that is to be moved by applying minimum possible force \(F\) at a point \(b\) above its centre of mass (see figure). If the coefficient of friction is \(\mu=0.4,\) the maximum possible value of \(100 \times \frac{b}{a}\) for a box not to topple before moving is
JEE Mains 2020 Hard - A transparent cube of side \(d\), made of a material of refractive index \(\mu_2\), is immersed in a liquid of refractive index \(\mu_1(\mu_1 < \mu_2)\). A ray is incident on the face \(AB\) at an angle \(\theta \) (shown in the figure). Total internal reflection takes place at point \(E\) on the face \(BC\). The \(\theta\) must satisfy
JEE Mains 2019 Hard - Two long current carrying thin wires, both with current \(I\), are held by insulating threads oflength \(L\) and are in equilibrium as shown in the figure, with threads making an angle '\(\theta\)' with the vertical. If wires have mass \(\lambda\) per unit length then the value of \(l\) is
(\(g =\) gravitational acceleration)
JEE Mains 2015 Hard - A small spherical ball of radius \(0.1 \,mm\) and density \(10^{4} \,kg m ^{-3}\) falls freely under gravity through a a distance \(h\) before entering a tank of water. If after entering the water the velocity of ball does not change and it continue to fall with same constant velocity inside water, then the value of \(h\) wil be \(m\). (Given \(g =10 \,ms ^{-2}\), viscosity of water \(=1.0 \times 10^{-5} \,N - sm ^{-2}\) )JEE Mains 2022 Hard
More PYQs from JEE Mains
- A cylinder of radius \(R\) is surrounded by a cylindrical shell of inner radius \(R\) and outer radius \(2R\). The thermal conductivity of the material of the inner cylinder is \(K_1\) and that of the outer cylinder is \(K_2\). Assuming no loss of heat, the effective thermal conductivity of the system for heat flowing along the length of the cylinder isJEE Mains 2019 Medium
- Match List\(-I\) with List\(-II\).
Choose the correct answer from the options given below:List\(-I\) List\(-II\) \((A)\) Angular momentum \((I)\) \(\left[ ML ^2 T ^{-2}\right]\) \((B)\) Torque \((II)\) \(\left[ ML ^{-2} T ^{-2}\right]\) \((C)\) Stress \((III)\) \(\left[ ML ^2 T ^{-1}\right]\) \((D)\) Pressure gradient \((IV)\) \(\left[ ML ^{-1} T ^{-2}\right]\) JEE Mains 2023 Medium - If \(\sum_{k=1}^{10} \frac{k}{k^{4}+k^{2}+1}=\frac{m}{n}\), where \(m\) and \(n\) are coprime, then \(m+n\) is equal to.JEE Mains 2022 Hard
- A small object at rest, absorbs a light pulse of power \(20\,mW\) and duration \(300\,ns\). Assuming speed of light as \(3 \times 10^8\,m / s\). the momentum of the object becomes equal to \(.........\times 10^{-17} kg\,m / s\)JEE Mains 2023 Medium
- Let \(5 f(x)+4 f\left(\frac{1}{x}\right)=\frac{1}{x}+3, x > 0\). Then \(18 \int \limits_1^2 f(x) d x\) is equal to:JEE Mains 2023 Hard
- The de-Broglie wavelength of an electron is the same as that of a photon. If velocity of electron is \(25 \%\) of the velocity of light, then the ratio of \(K.E.\) of electron and \(K.E.\) of photon will be:JEE Mains 2024 Hard