Question:
What will be the kinetic energy of an electron having de-Broglie wavelength 2Å?
What will be the kinetic energy of an electron having de-Broglie wavelength 2Å?
Show Hint
$E = \frach²2mλ²}$ for electron kinetic energy.
Updated On: Apr 16, 2026
- 37.5 eV
- 75 eV
- 150 eV
- 300 eV
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: $E = \frach²2mλ² = \frac(6.63×10^-34)²2 × 9.1×10^-31 × (2×10^-10)² = 6.0×10^-18$ J.
Step 2: Convert to eV: $\frac6.0×10^-181.6×10^-19 = 37.5$ 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 Current electricity Questions
- The temperature coefficient of resistance of a wire is 0.00125 °C\(^{-1}\). At 300 K, its resistance is 1 \(\Omega\). At what temperature the resistance of the wire will be 2 \(\Omega\)?
- MET - 2019
- Physics
- Current electricity
- The starter motor of a car draws a current \(I = 300\) A from the battery of voltage 12 V. If the car starts only after 2 minutes, what is the energy drawn from the battery?
- MET - 2019
- Physics
- Current electricity
- Consider four circuits shown in the figure below. In which circuit power dissipated is greatest? (Neglect the internal resistance of the power supply).
- MET - 2019
- Physics
- Current electricity
- Find the equivalent resistance across AB
- MET - 2019
- Physics
- Current electricity
- A wire of length $100~\mathrm{cm}$ is connected to a cell of emf $2\mathrm{V}$ and negligible internal resistance. The resistance of the wire is $3\Omega$. The additional resistance required to produce a potential difference of $1\mathrm{mV / cm}$ is}
- MET - 2018
- Physics
- Current electricity
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