(c) $r = \frac{{\sqrt {2mK} }}{{qB}} \Rightarrow q \propto \sqrt {mK} \Rightarrow K \propto \frac{{{q^2}}}{m}$ $ \Rightarrow \frac{{{K_\alpha }}}{{{K

(c) $r = \frac{{\sqrt {2mK} }}{{qB}} \Rightarrow q \propto \sqrt {mK} \Rightarrow K \propto \frac{{{q^2}}}{m}$ $ \Rightarrow \frac{{{K_\alpha }}}{{{K_p}}} = {\left( {\frac{{{q_\alpha }}}{{{q_p}}}} \right)^2} \times \frac{{{m_p}}}{{{m_\alpha }}} \Rightarrow \frac{{{K_\alpha }}}{8} = {\left( {\frac{{2{q_p}}}{{{q_p}}}} \right)^2} \times \frac{{{m_p}}}{{4{m_p}}} = 1$ $ \Rightarrow {K_\alpha } = 8\;eV$

4.Moving Charges and MagnetismMedium

A proton of energy $8\, eV$ is moving in a circular path in a uniform magnetic field. The energy of an alpha particle moving in the same magnetic field and along the same path will be.....$eV$

A
$4$
B
$2$
C
$8$
D
$6$

Std 12
Physics

A proton (mass $m$ and charge $+e$) and an $\alpha -$ particle (mass $4m$ and charge $+2e$) are projected with the same kinetic energy at right angles to the uniform magnetic field. Which one of the following statements will be true

Medium

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When a proton is released from rest in a room, it starts with an initial acceleration $a_0$ towards west. When it is projected towards north with a speed $v_0$ it moves with an initial acceleration $3a_0$ toward west. The electric and magnetic fields in the room are

Medium

[AIPMT 2013]

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Consider the mass-spectrometer as shown in figure. The electric field between plates is $\vec E\ V/m$ , and the magnetic field in both the velocity selector and in the deflection chamber has magnitude $B$ . Find the radius $'r'$ for a singly charged ion of mass $'m'$ in the deflection chamber

Medium

View Solution

A particle having charge of $10\,\mu C$ and $1\,\mu g$ mass moves along circular path of $10\, cm$ radius in the effect of uniform magnetic field of $0.1\, T$. When charge is at point $'P'$, a uniform electric field applied in the region so charge moves tangentially with constant speed. The value of electric field is......$V/m$

Medium

View Solution

Proton, deuteron and alpha particle of same kinetic energy are moving in circular trajectories in a constant magnetic field. The radii of proton, deuteron and alpha particle are respectively $r_p, r_d$ and $r_{\alpha}$ Which one of the following relation is correct?

Medium

[AIEEE 2012]

View Solution

A proton of energy $8\, eV$ is moving in a circular path in a uniform magnetic field. The energy of an alpha particle moving in the same magnetic field and along the same path will be.....$eV$

Similar Questions

A proton (mass $m$ and charge $+e$) and an $\alpha -$ particle (mass $4m$ and charge $+2e$) are projected with the same kinetic energy at right angles to the uniform magnetic field. Which one of the following statements will be true

When a proton is released from rest in a room, it starts with an initial acceleration $a_0$ towards west. When it is projected towards north with a speed $v_0$ it moves with an initial acceleration $3a_0$ toward west. The electric and magnetic fields in the room are

Consider the mass-spectrometer as shown in figure. The electric field between plates is $\vec E\ V/m$ , and the magnetic field in both the velocity selector and in the deflection chamber has magnitude $B$ . Find the radius $'r'$ for a singly charged ion of mass $'m'$ in the deflection chamber

Proton, deuteron and alpha particle of same kinetic energy are moving in circular trajectories in a constant magnetic field. The radii of proton, deuteron and alpha particle are respectively $r_p, r_d$ and $r_{\alpha}$ Which one of the following relation is correct?