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
Medium
Download our app for free and get started
(a)$F = qvB\sin \theta $
$ = 1.6 \times {10^{ - 19}} \times 2 \times {10^7} \times 1.5\;\sin \;{30^o}$
$ = 1.6 \times {10^{ - 19}} \times 2 \times {10^7} \times 1.5 \times \frac{1}{2} = 2.4 \times {10^{ - 12}}N$
$ = 1.6 \times {10^{ - 19}} \times 2 \times {10^7} \times 1.5\;\sin \;{30^o}$
$ = 1.6 \times {10^{ - 19}} \times 2 \times {10^7} \times 1.5 \times \frac{1}{2} = 2.4 \times {10^{ - 12}}N$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1A $2 \mathrm{~A}$ current carrying straight metal wire of resistance $1 \Omega$, resistivity $2 \times 10^{-6} \Omega \mathrm{m}$, area of cross-section $10 \mathrm{~mm}^2$ and mass $500 \mathrm{~g}$ is suspended horizontally in mid air by applying a uniform magnetic field $\vec{B}$. The magnitude of $B$ is__________.$\times 10^{-1} \mathrm{~T}\left(\right.$ given, $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ )View Solution
- 2View SolutionIf an electron and a proton having same momenta enter perpendicular to a magnetic field, then
- 3An electron is travelling along the $x$-direction. It encounters a magnetic field in the $y$-direction. Its subsequent motion will beView Solution
- 4A proton (mass $m$ ) accelerated by a potential difference $V$ flies through a uniform transverse magnetic field $B.$ The field occupies a region of space by width $'d'$. If $\alpha $ be the angle of deviation of proton from initial direction of motion (see figure), the value of $sin\,\alpha $ will beView Solution
- 5A $50\, ohm$ galvanometer gets full scale deflection when a current of $0.01\, A$ passes through the coil. When it is converted to a $10\, A$ ammeter, the shunt resistance is ........... $\Omega $View Solution
- 6A current $i$ ampere flows in a circular arc of wire whose radius is $R$, which subtend an angle $3\pi /2$ radian at its centre. The magnetic induction at the centre isView Solution
- 7An electron beam passes through a magnetic field of $2 \times 10^{-3}\,Wb/m^2$ and an electric field of $1.0 \times 10^4\,V/m$ both acting simultaneously. The path of electron remains undeviated. The speed of electron if the electric field is removed, and the radius of electron path will be respectivelyView Solution
- 8A particle of mass $m$ and charge $q$ , moving with velocity $V$ enters region $II$ normal to the boundary as shown in the figure. Region $II$ has a uniform magnetic field $B$ perpendicular to the plane of the paper. The length of the region $II$ is $l$ . Choose the not correct choiceView Solution
- 9A long solenoid of $50\, cm$ length having $100$ turns carries a current of $2.5$ $A.$ The magnetic field at the centre of the solenold is $...... \times 10^{-5}\;T$View Solution
$\left(\mu_{0}=4 \pi \times 10^{-7}\, T\, m\, A ^{-1}\right)$
- 10A long straight wire of radius $a$ carries a steady current $I.$ The current is uniformly distributed over its cross-section. The ratio of the magnetic fields $B$ and $B',$ at radial distances $\frac{a}{2}$ and $2a$ respectively, from the axis of the wire isView Solution