A particle of mass $m$ and charge $\mathrm{q}$, moving with velocity $\mathrm{V}$ 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 $\ell$. Choose the correct choice$(s)$.
Figure: $Image$
$(A)$ The particle enters Region $III$ only if its velocity $V>\frac{q / B}{m}$
$(B)$ The particle enters Region $III$ only if its velocity $\mathrm{V}<\frac{\mathrm{q} / \mathrm{B}}{\mathrm{m}}$
$(C)$ Path length of the particle in Region $II$ is maximum when velocity $V=\frac{q / B}{m}$
$(D)$ Time spent in Region $II$ is same for any velocity $V$ as long as the particle returns to Region $I$
IIT 2008, Advanced
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
- 1What is the magnitude of magnetic force per unit length (in $N \;m ^{-1}$) on a wire carrying a current of $8\; A$ and making an angle of $30^o$ with the direction of a uniform magnetic field of $0.15\;T$?View Solution
- 2Two infinite length wires carries currents $8A$ and $6A$ respectively and placed along $X$ and $Y$-axis. Magnetic field at a point $P\,(0,\,0,\,d)\,m$ will beView Solution
- 3Two 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 $1000 \Omega$.
- 4View SolutionThe tangent galvanometer, when connected in series with a standard resistance can be used as
- 5An electron moves straight inside a charged parallel plate capacitor of uniform charge density. The space between the plates is filled with uniform magnetic field of intensity $B ,$ as shown in the figure, Neglecting effect of gravity, the time of straight line motion of the electron in the capacitor isView Solution
- 6A magnetic needle suspended parallel to a magnetic field requires $\sqrt 3\,J $ of work to turn it through $60^o$. The torque needed to maintain the needle in this position will beView Solution
- 7If only $2\,%$ of the main current is to be passed through a galvanometer of resistance $G$, then the resistance of shunt will beView Solution
- 8Consider a galvanometer shunted with $5\, \Omega$ resistance and $2\, \%$ of current passes through it.View Solution
What is the resistance of the given galvanometer? (In $\Omega$)
- 9Two straight long conductors $AOB$ and $COD$ are perpendicular to each other and carry currents ${i_1}$ and ${i_2}$. The magnitude of the magnetic induction at a point $ P$ at a distance a from the point $O$ in a direction perpendicular to the plane $ACBD$ isView Solution
- 10A triangular loop of side $l$ carries a current $I$. It is placed in a magnetic field $B$ such that the plane of the loop is in the direction of $B$. The torque on the loop isView Solution