A charged particle $q$ is shot towards another charged particle $Q$ which is fixed, with a speed $v$. It approaches $Q$ upto a closest distance $r$ and then returns. If $q$ were given a speed $2v$, the closest distances of approach would be
  • A$r$
  • B$2r$
  • C${{r}/{2}}$
  • D${{r}/{4}}$
AIEEE 2004, Medium
art

Download our app
and 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

  • 1
    In the given circuit, a charge of $+80 \ \mu C$ is given to the upper plate of the $4 \ \mu F$ capacitor. Then in the steady state, the charge on the upper plate of the $3 \ \mu F$ capacitor is :
    View Solution
  • 2
    Two capacitors ${C_1} = 2\,\mu \,F$ and ${C_2}\, = \,6\,\mu \,F$ in series, are connected in parallel to a third capacitor ${C_3} = \,4\,\mu \,F$. This arrangement is then connected to a battery of $e.m.f.$ $=$ $2V$, as shown in the figure. How much energy is lost by the battery in charging the capacitors
    View Solution
  • 3
    The value of equivalent capacitance of the combination shown in figure, between points $P$ and $Q$ is
    View Solution
  • 4
    Find equivalent capacitance between $A$ and $B$
    View Solution
  • 5
    A parallel plate capacitor of capacitance $90\ pF$ is connected to a battery of $emf$ $20\ V$. If a dielectric material of dielectric constant $K = \frac{5}{3}$ is inserted between the plates, the magnitude of the induced charge will be.......$n $ $C$
    View Solution
  • 6
    If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then

    $A$. the charge stored in it, increases.

    $B$. the energy stored in it, decreases.

    $C$. its capacitance increases.

    $D$. the ratio of charge to its potential remains the same.

    $E$. the product of charge and voltage increases.

    Choose the most appropriate answer from the options given below:

    View Solution
  • 7
    The equivalent capacitance of the combination shown in the figure is :
    View Solution
  • 8
    A piece of cloud having area $25 \times {10^6}\,{m^2}$ and electric potential of ${10^5}$ $volts$. If the height of cloud is $0.75\,km$, then energy of electric field between earth and cloud will be.....$J$
    View Solution
  • 9
    A parallel plate capacitor of capacitance $C$ has spacing $d$ between two plates having area $A$. The region between the plates is filled with $N$ dielectric layers, parallel to its plates, each with thickness $\delta=\frac{ d }{ N }$. The dielectric constant of the $m ^{\text {th }}$ layer is $K _{ m }= K \left(1+\frac{ m }{ N }\right)$. For a very large $N \left(>10^3\right)$, the capacitance $C$ is $\alpha\left(\frac{ K \varepsilon_0 A }{ d \;ln 2}\right)$. The value of $\alpha$ will be. . . . . . . .

    [ $\epsilon_0$ is the permittivity of free space]

    View Solution
  • 10
    A capacitor of $2\,\, \mu F$ is charged as shown in the diagram. When the switch $S$ is turned to position $2,$ the percentage of its stored energy dissipated is ......$\%$ 
    View Solution