Question:
The ionisation potential of hydrogen atom is 13.6 eV. How much energy need to be supplied to ionise the hydrogen atom in the first excited state?
The ionisation potential of hydrogen atom is 13.6 eV. How much energy need to be supplied to ionise the hydrogen atom in the first excited state?
Show Hint
Ionisation energy = $|Eₙ|$ for that state.
Updated On: Apr 16, 2026
- 13.6 eV
- 27.2 eV
- 3.4 eV
- 6.8 eV
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: First excited state: $n=2$. $E₂ = -\frac13.64 = -3.4$ eV.
Step 2: Ionisation energy = $0 - (-3.4) = 3.4$ eV.
Was this answer helpful?
0
0
Top MET Physics Questions
- The wave number of the shortest wavelength of absorption spectrum of hydrogen atom is_ _ _ _
(Rydberg constant = \(109700\,\mathrm{cm^{-1}}\)).- MET - 2024
- Physics
- atom structure models
- In the circuit shown, diode has \(20\Omega\) forward resistance. When \(V_i\) increases from \(8V\) to \(12V\), change in current is \(x\,mA\). Find \(x\).
- MET - 2024
- Physics
- applications of diode
- When a lens is cut into two halves along \(XOX'\), then focal length of each half lens:
- MET - 2024
- Physics
- Ray optics and optical instruments
- An electric dipole shown in the figure. Work done to move a charge particle of \(1\mu C\) from point Q to P is \(x \times 10^{-7} J\), then the value of \(x\) is:
- MET - 2024
- Physics
- Electric charges and fields
- An electric kettle has two coils. When one coil is switched on, it takes 10 min to boil water and when the second coil is switched on it takes 20 min to boil same amount of water. The time taken when both coils are used in parallel is \(n\) seconds. Find \(n\).
- MET - 2024
- Physics
- Kirchhoff's Laws
View More Questions
Top MET Dual nature of matter Questions
- Photons of \(5.5\ \mathrm{eV}\) energy fall on the surface of the metal emitting photoelectrons of maximum kinetic energy \(4.0\ \mathrm{eV}\). The stopping voltage required for these electrons is
- MET - 2019
- Physics
- Dual nature of matter
- A photon and an electron have equal energy $E$. $\lambda_{\mathrm{photon}} / \lambda_{\mathrm{electron}}$ is proportional to
- MET - 2018
- Physics
- Dual nature of matter
- The stopping potential for photoelectric emission from a metal surface is plotted along Y-axis and frequency v of incident light along X-axis. A straight line is obtained as shown. Planck's constant is given by}
- MET - 2018
- Physics
- Dual nature of matter
- Fifty six tuning forks are arranged in a series such that each fork gives 6 beats per second with the preceding one. Assuming the frequency of the last fork to be double of the first fork, the frequency of the last fork should be
- MET - 2016
- Physics
- Dual nature of matter
- A copper ball of radius r is moving with a uniform velocity v in the mustard oil and the dragging force acting on the ball is F. The dragging force on the copper ball of radius 2r with uniform velocity 2v in the mustard oil is
- MET - 2016
- Physics
- Dual nature of matter
View More Questions
Top MET Questions
- Let \( f:\mathbb{N} \to \mathbb{N} \) be defined as \[ f(n)= \begin{cases} \frac{n+1}{2}, & \text{if } n \text{ is odd} \\ \frac{n}{2}, & \text{if } n \text{ is even} \end{cases} \] Then \( f \) is:
- MET - 2024
- types of functions
- Given vectors \(\vec{a}, \vec{b}, \vec{c}\) are non-collinear and \((\vec{a}+\vec{b})\) is collinear with \((\vec{b}+\vec{c})\) which is collinear with \(\vec{a}\), and \(|\vec{a}|=|\vec{b}|=|\vec{c}|=\sqrt{2}\), find \(|\vec{a}+\vec{b}+\vec{c}|\).
- MET - 2024
- Addition of Vectors
- Given \(\frac{dy}{dx} + 2y\tan x = \sin x\), \(y=0\) at \(x=\frac{\pi}{3}\). If maximum value of \(y\) is \(1/k\), find \(k\).
- MET - 2024
- Differential equations
- Let \( f(x) \) be a polynomial such that \( f(x) + f(1/x) = f(x)f(1/x) \), \( x > 0 \). If \( \int f(x)\,dx = g(x) + c \) and \( g(1) = \frac{4}{3} \), \( f(3) = 10 \), then \( g(3) \) is:
- MET - 2024
- Definite Integral
- A real differentiable function \(f\) satisfies \(f(x)+f(y)+2xy=f(x+y)\). Given \(f''(0)=0\), then \[ \int_0^{\pi/2} f(\sin x)\,dx = \]
- MET - 2024
- Definite Integral
View More Questions