A proton of mass $1.67\times10^{-27}\, kg$ and charge $1.6\times10^{-19}\, C$ is projected with a speed of $2\times10^6\, m/s$ at an angle of $60^o$ to the $X-$ axis. If a uniform magnetic field of $0.104\, tesla$ is applied along the $Y-$ axis, the path of the proton is
A circle of radius $ \cong $ $0.1\, m$ and time period $2\pi \times10^{-7}\, s$.
A circle of radius $ \cong $ $0.2\, m$ and time period $7\pi \times10^{-7}\, s$.
A helix of radius $ \cong $ $0.1\, m$ and time period $2\pi \times10^{-7}\, s$.
A helix of radius $ \cong $ $0.2\, m$ and time period $4\pi \times10^{-7}\, s$.
A negatively charged particle projected towards east is deflected towards north by a magnetic field. The field may be
Consider the following statements regarding a charged particle in a magnetic field . Which of the statements are true :
The region between $y = 0$ and $y = d$ contains a magnetic field $\vec B = B\hat z$ A particle of mass $m$ and charge $q$ enters the region with a velocity $\vec v = v\hat i$. If $d = \frac{{mv}}{{2qB}}$ , the acceleration of the charged particle at the point of its emergence at the other side is
An electron (charge $q$ $coulomb$) enters a magnetic field of $H$ $weber/{m^2}$ with a velocity of $v\,m/s$ in the same direction as that of the field the force on the electron is
A metallic block carrying current $I$ is subjected to a uniform magnetic induction $\overrightarrow B $ as shown in the figure. The moving charges experience a force $\overrightarrow F $ given by ........... which results in the lowering of the potential of the face ........ Assume the speed of the carriers to be $v$