Questions in Moving Charges and Magnetism

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An electron is travelling horizontally towards east. A magnetic field in vertically downward direction exerts a force on the electron along
Lorentz force can be calculated by using the formula
A magnetic field
A proton enters a magnetic field of flux density $1.5\,weber/{m^2}$ with a velocity of $2 \times {10^7}\,m/\sec $ at an angle of $30^\circ $ with the field. The force on the proton will be
If a particle of charge ${10^{ - 12}}\,coulomb$ moving along the $\hat x -$ direction with a velocity ${10^5}\,m/s$ experiences a force of ${10^{ - 10}}\,newton$ in $\hat y -$ direction due to magnetic field, then the minimum magnetic field is
If a proton, deutron and $\alpha - $ particle on being accelerated by the same potential difference enters perpendicular to the magnetic field, then the ratio of their kinetic energies is
Which of the following statement is true
An electron and a proton enter region of uniform magnetic field in a direction at right angles to the field with the same kinetic energy. They describe circular paths of radius ${r_e}$ and ${r_p}$ respectively. Then
A proton of mass $1.67 \times {10^{ - 27}}kg$ and charge $1.6 \times {10^{ - 19}}\,C$ is projected with a speed of $2 \times {10^6}\,m/s$ at an angle of $60^\circ $ to the $X - $axis. If a uniform magnetic field of 0.104 Tesla is applied along $Y - $axis, the path of proton is
A proton and a deutron both having the same kinetic energy, enter perpendicularly into a uniform magnetic field B. For motion of proton and deutron on circular path of radius ${R_p}$ and ${R_d}$ respectively, the correct statement is

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