A charged particle of mass $m$ and charge $q$ describes circular motion of radius $r$ in a uniform magnetic field of strength $B$. The frequency of revolution is
Easy
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
- 1An electron and a proton are moving on straight parallel paths with same velocity. They enter a semi-infinite region of uniform magnetic field perpendicular to the velocity. Which of the following statement$(s)$ is/are true?View Solution
$(A)$ They will never come out of the magnetic field region.
$(B)$ They will come out travelling along parallel paths.
$(C)$ They will come out at the same time.
$(D)$ They will come out at different times.
- 2A cell is connected between the points $A$ and $C$ of a circular conductor $ABCD$ of centre $O$ with angle $AOC = {60^o}$. If ${B_1}$ and ${B_2}$ are the magnitudes of the magnetic fields at $O$ due to the currents in $ABC$ and $ADC$ respectively, the ratio $\frac{{{B_1}}}{{{B_2}}}$ isView Solution
- 3A rectangular loop of wire shown below is coplanar with a long wire carrying current $I$. The loop is pulled to the right a s indicated. What are the directions of the induced current in the loop and the magnetic forces on the left and the right sides of the loop?View Solution
Induced current Force on left side Force on right side $a.$ Counter clockwise To the left To the right $b.$ clockwise To the left To the right $c.$ Counter clockwise To the right To the left $d.$ clockwise To the right To the left 
- 4Two identical moving coil galvanometer have $10 \Omega$ resistance and full scale deflection at $2 \mu A$ current. One of them is converted into a voltmeter of $100 mV$ full scale reading and the other into an Ammeter of $1 mA$ full scale current using appropriate resistors. These are then used to measure the voltage and current in the Ohm's law experiment with $R =1000 \Omega$ resistor by using an ideal cell. Which of the following statement( $s$ ) is/are correct?View Solution
$(1)$ The measured value of $R$ will be $978 \Omega$
$(2)$ The resistance of the Voltmeter will be $100 k \Omega$.
$(3)$ The resistance of the Ammeter will be $0.02 \Omega$ (round off to $2^{\text {nd }}$ decimal place)
$(4)$ If the ideal cell is replaced by a cell having internal resistance of $5 \Omega$ then the measured value of $R$ will be more than $1000 \Omega$.
- 5A wire of length $L$ is bent in the form of a circular coil and current $i$ is passed through it. If this coil is placed in a magnetic field then the torque acting on the coil will be maximum when the number of turns isView Solution
- 6Current sensitivity of a moving coil galvanometer is $5\,div/mA$ and its voltage sensitivity (angular deflection per unit voltage applied) is $20\,div/V$. The resistance of the galvanometer is ................. $\Omega$View Solution
- 7A small block of mass $m$, having charge $q$ is placed on frictionless inclined plane making an angle $\theta$ with the horizontal. There exists a uniform magnetic field $B$ parallel to the inclined plane but perpendicular to the length of spring. If $m$ is slightly pulled on the inclined in downward direction and released, the time period of oscillation will be (assume that the block does not leave contact with the plane)View Solution
- 8A uniform conducting wire $ABC$ has a mass of $10\,g$. A current of $2\,A$ flows through it. The wire is kept in a uniform magnetic field $B = 2T.$ The acceleration of the wire will beView Solution
- 9An insulating rod of length $l$ carries a charge $q$ distributed uniformly on it. The rod is pivoted at an end and is rotated at a frequency $f$ about a fixed perpendicular $t$ axis. The magnetic moment of the system isView Solution
- 10Consider the circular loop having current $i$ and with central point $O$. The magnetic field at the central point $O$ isView Solution
