MHT CET · Physics · Magnetic Effects of Current
The ratio of momenta of an electron and an \(\alpha\) -particle which are accelerated from rest by a potential difference of \(100 \mathrm{~V}\) is
- A 1
- B \(\sqrt{\frac{2 m_{e}}{m_{\alpha}}}\)
- C \(\sqrt{\frac{m_{e}}{m_{\alpha}}}\)
- D \(\sqrt{\frac{m_{e}}{2 m_{\alpha}}}\)
Answer & Solution
Correct Answer
(D) \(\sqrt{\frac{m_{e}}{2 m_{\alpha}}}\)
Step-by-step Solution
Detailed explanation
Momentum \(p=m v\) and \(v=\sqrt{\frac{2 q V}{m}}\)
\(
\begin{array}{c}
p=\sqrt{2 q m V} \\
p=\sqrt{q m} \\
\frac{p_{e}}{p_{\alpha}}=\sqrt{\frac{e m_{e}}{2 e m_{\alpha}}}
\end{array}
\)
\(\frac{p_{e}}{p_{\alpha}}=\sqrt{\frac{m_{e}}{2 m_{\alpha}}}\)
\(
\begin{array}{c}
p=\sqrt{2 q m V} \\
p=\sqrt{q m} \\
\frac{p_{e}}{p_{\alpha}}=\sqrt{\frac{e m_{e}}{2 e m_{\alpha}}}
\end{array}
\)
\(\frac{p_{e}}{p_{\alpha}}=\sqrt{\frac{m_{e}}{2 m_{\alpha}}}\)
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
- Two concentric circular coils of 'n' turns each are situated in the same plane. Their
radii are ' \(a_{1}\) ' and ' \(a_{2}{ }^{\prime}\left(a_{2}>a_{1}\right)\) and they carry currents 'I \(_{1}\) ' and ' \(\mathrm{I}_{2}\) ' respectively
\(\left(\mathrm{I}_{1}>\mathrm{I}_{2}\right)\) in opposite direction. The magnetic field at the centre isMHT CET 2020 Medium - A circular coil of radius ' \(\mathrm{R}\) ' has ' \(\mathrm{N}\) ' turns of a wire. The coefficient of self-induction of the coil will be ( \(\mu_0=\) permeability of free space)MHT CET 2021 Medium
- When a mercury drop of radius 'R', breaks into 'n' droplets of equal size, the radius 'r' of each droplet isMHT CET 2020 Easy
- A square lamina of side ' \(b\) ' has same mass as a disc of radius ' \(R\) ' the moment of inertia of the two objects about an axis perpendicular to the plane and passing through the centre is equal. The ratio \(\frac{\mathrm{b}}{\mathrm{R}}\) isMHT CET 2023 Medium
- A pendulum is oscillating with frequency ' \(n\) ' on the surface of earth. If it is taken to a depth \(\frac{{ }^{\prime} \mathrm{R}^{\prime}}{3}\) below the surface of earth, new frequency of oscillation is ( \(R=\) radius of earth)MHT CET 2025 Medium
- A body initially at rest is acted upon by a constant force (F) for time (t). The kinetic energy at time \(\mathrm{t}\) isMHT CET 2020 Easy
More PYQs from MHT CET
- An electron is projected along the axis of circular conductor carrying current I. Electron will experienceMHT CET 2023 Easy
- Identify the nitrogen atom of purine base that bonds with \(1^{\prime}\) carbon of ribose to form ribonucleoside?MHT CET 2024 Medium
- Which from following d-orbitals has different shape as compared with others?MHT CET 2025 Easy
- A sound of frequency \(480 \mathrm{~Hz}\) is emitted from the stringed instrument. The velocity of sound in air is \(320 \mathrm{~m} / \mathrm{s}\). After completing 180 vibrations, the distance covered by a wave isMHT CET 2023 Medium
- Identify an orbital with the quantum numbers \(\mathrm{n}=4, \ell=3, \mathrm{~m}=0\).MHT CET 2021 Easy
- CC1COC1C is the anhydride ofMHT CET 2007 Medium