A proton of velocity $\left( {3\hat i + 2\hat j} \right)\,ms^{-1}$ enters a magnetic field of $(2\hat j + 3\hat k)\, tesla$. The acceleration produced in the proton is (charge to mass ratio of proton $= 0.96 \times10^8\,Ckg^{-1}$)
$2.88 \times {10^8}\left( {2\hat i - 3\hat j} \right)\,m/s^2$
$2.88 \times {10^8}\left( {2\hat i - 3\hat j + 2\hat k} \right)\,m/s^2$
$2.88 \times {10^8}\left( {2\hat i + 3\hat k} \right)\,m/s^2$
$2.88 \times {10^8}\left( {\hat i - 3\hat j + 2\hat k} \right)\,m/s^2$
A particle of charge $q$, mass $m$ enters in a region of magnetic field $B$ with velocity $V_0 \widehat i$. Find the value of $d$ if the particle emerges from the region of magnetic field at an angle $30^o$ to its ititial velocity:-
One proton beam enters a magnetic field of ${10^{ - 4}}$ $T$ normally, Specific charge = ${10^{11}}\,C/kg.$ velocity = ${10^7}\,m/s$. What is the radius of the circle described by it....$m$
In a mass spectrometer used for measuring the masses of ions, the ions are initially accelerated by an electric potential $V$ and then made to describe semicircular paths of radius $R$ using a magnetic field $B$. If $V$ and $B$ are kept constant, the ratio $\left( {\frac{{{\text{charge on the ion}}}}{{{\text{mass of the ion}}}}} \right)$ will be proportional to
An electron and a proton enter a magnetic field perpendicularly. Both have same kinetic energy. Which of the following is true
If a charged particle enters perpendicularly in the uniform magnetic field then