Question:
Determine ratio of de broglie wavelength of \(α- particle\) and proton of same kinetic energy is
Determine ratio of de broglie wavelength of \(α- particle\) and proton of same kinetic energy is
Updated On: Feb 16, 2024
Hide Solution
Verified By Collegedunia
Solution and Explanation
The Correct Answer is : \(1:2\)
\(λ=\frac{h}{\sqrt2mE_k}\)
\(\frac{λ_α}{λ_p}=\sqrt{\frac{m_p}{m_α}}\)
\(=\sqrt{\frac{1}{4}}=\frac{1}{2}\)
Was this answer helpful?
0
0
Top Questions on de broglie hypothesis
- Calculate the de Broglie wavelength of an electron moving with velocity $ 6 \times 10^6 \, m/s $. (Mass of electron $ m = 9.11 \times 10^{-31} \, kg $, Planck's constant $ h = 6.626 \times 10^{-34} \, Js $)
- BITSAT - 2025
- Physics
- de broglie hypothesis
- A proton accelerated through a potential difference of V volts has a de-Broglie wavelength \(\lambda\) associated with it. In order to get the same wavelength associated with an \(\alpha\)-particle, the required accelerating potential is
- CUET (UG) - 2025
- Physics
- de broglie hypothesis
- The de-Broglie wavelength associated with a ball of mass 150 g traveling at 30.0 m/s would be
- CUET (UG) - 2025
- Physics
- de broglie hypothesis
- De-Broglie wavelength of an electron orbiting in the \(n = 2\) state of hydrogen atom is close to (Given Bohr radius = 0.052 nm):
- NEET (UG) - 2025
- Physics
- de broglie hypothesis
- The kinetic energy of an alpha particle is four times the kinetic energy of a proton. The ratio \( \left( \frac{\lambda_\alpha}{\lambda_p} \right) \) of de Broglie wavelengths associated with them will be:
- CBSE CLASS XII - 2025
- Physics
- de broglie hypothesis
View More Questions
Questions Asked in JEE Main exam
Let $ f: \mathbb{R} \to \mathbb{R} $ be a twice differentiable function such that $$ f''(x)\sin\left(\frac{x}{2}\right) + f'(2x - 2y) = (\cos x)\sin(y + 2x) + f(2x - 2y) $$ for all $ x, y \in \mathbb{R} $. If $ f(0) = 1 $, then the value of $ 24f^{(4)}\left(\frac{5\pi}{3}\right) $ is:
- JEE Main - 2025
- Differential Calculus
- A 400 g solid cube having an edge of length \(10\) cm floats in water. How much volume of the cube is outside the water? (Given: density of water = \(1000 { kg/m}^3\))
- An infinite wire has a circular bend of radius \( a \), and carrying a current \( I \) as shown in the figure. The magnitude of the magnetic field at the origin \( O \) of the arc is given by:
- JEE Main - 2025
- Magnetic Field
- Let \( A = [a_{ij}] \) be a matrix of order 3 \(\times\) 3, with \(a_{ij} = (\sqrt{2})^{i+j}\). If the sum of all the elements in the third row of \( A^2 \) is \( \alpha + \beta\sqrt{2} \), where \(\alpha, \beta \in \mathbb{Z}\), then \(\alpha + \beta\) is equal to:
- JEE Main - 2025
- Matrices and Determinants
- Total number of non-bonded electrons present in \( \text{NO}_2 \); ion based on Lewis theory is:
- JEE Main - 2025
- Chemical bonding and molecular structure
View More Questions
Concepts Used:
States of Matter
The matter is made up of very tiny particles and these particles are so small that we cannot see them with naked eyes.
There are three States of Matter:
The three states of matter are as follows:
Solid State:
- The solid-state is one of the fundamental states of matter.
- Solids differ from liquids and gases by the characteristic of rigidity.
- The molecules of solids are tightly packed because of strong intermolecular forces; they only oscillate about their mean positions.
Liquid State:
- The molecules in a liquid are closely packed due to weak intermolecular forces.
- These forces are weaker than solids but stronger than that of gases.
- There is much space in between the molecules of liquids which makes their flowing ability easy.
Gaseous State:
- In this state of matter, distances between the molecules are large (intermolecular distance is in the range of 10-7-10-5 cm.
- The intermolecular forces experienced between them are negligible.
- Thus, translatory, rotatory and vibratory motions are observed prominently in gases.