A network of four capacitors of capacity equal to $C_1=C,C_2=2C,C_3=3C$ and C₄ = 4 C are connected in a battery as shown in the figure. The ratio of the charges on C₂ and C₄ is 

(1) $\frac{22}{3}$

(2) $\frac{3}{22}$

(3) $\frac{7}{4}$

(4) $\frac{4}{7}$

The variation of potential with distance R from a fixed point is as shown below. The electric field at R = 5 m is 

(1) 2.5 volt/m

(2) –2.5 volt/m

(3) 2/5 volt/m

(4) –2/5 volt/m

The figure gives the electric potential V as a function of distance through five regions on x-axis. Which of the following is true for the electric field E in these regions 

(1) $E_1>E_2>E_3>E_4>E_5$

(2) $E_1=E_3=E_5$ and $E_2<E_4$

(3) $E_2=E_4=E_5$ and $E_1<E_3$

(4) $E_1<E_2<E_3<E_4<E_5$

In a hollow spherical shell potential (V) changes with respect to distance (r) from centre 

(1)

(2)

(3)

(4)

Between the plates of a parallel plate capacitor a dielectric plate is introduced just to fill the space between the plates. The capacitor is charged and later disconnected from the battery. The dielectric plate is slowly drawn out of the capacitor parallel to the plates. The plot of the potential difference across the plates and the length of the dielectric plate drawn out is

(1)

(2)

(3)

(4)

Equipotential surfaces are shown in figure. Then the electric field strength will be

(1) 100 Vm^–1 along X-axis

(2) 100 Vm^–1 along Y-axis

(3) 200 Vm^–1 at an angle 120^o with X-axis

(4) 50 Vm^–1 at an angle 120^o with X-axis

A condenser of 2μF capacitance is charged steadily from 0 to 5 Coulomb. Which of the following graphs correctly represents the variation of potential difference across its plates with respect to the charge on the condenser?

(1)

(2)

(3)

(4)

When subjected to a transverse electric field, cathode rays move: 

(1) Down the potential gradient

(2) Up the potential gradient

(3) Along a hyperbolic path

(4) Along a circular path

The kinetic energy of an electron which is accelerated through a potential of 100 volts is

(a) $1.602\times {10}^{-17} \mathrm{J}$            (b) 418.6 calories
(c) $1.16\times {10}^4 \mathrm{K}$                 (d) $6.626\times {10}^{-14}$ W- sec

A fully charged capacitor has a capacitance ‘C’. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity ‘s’ and mass ‘m’. If the temperature of the block is raised by ‘ΔT’, the potential difference ‘V’ across the capacitance is 

(1) $\frac{ms\Delta T}{C}$

(2) $\sqrt{\frac{2ms\Delta T}{C}}$

(3) $\sqrt{\frac{2mC\Delta T}{s}}$

(4) $\frac{mC\Delta T}{s}$