MCQ
Three capacitors each of capacitance $1\,\mu F$ are connected in parallel. To this combination, a fourth capacitor of capacitance $1\,\mu F$ is connected in series. The resultant capacitance of the system is.......$\mu F$
  • A
    $4$
  • B
    $2$
  • C
    $1.33$
  • $0.75$

Answer

Correct option: D.
$0.75$
d
(d) The circuit can be drawn as follows
$ \Rightarrow \,{C_{AB}} = \frac{{3 \times 1}}{{3 + 1}} = \frac{3}{4}\,\mu F$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Water droplets are coming from an open tap at particular rate. The spacing between a droplet observed at $4^{{th}}\;second$ after its fall to the next droplet is $34.3 \,{m}$. At what rate the droplets are coming from the tap ? (Take $g=9.8\, {m} / {s}^{2}$)
Sunlight of intensity $1.3 kW m ^{-2}$ is incident normally on a thin convex lens of focal length $20 cm$. Ignore the energy loss of light due to the lens and assume that the lens aperture size is much smaller than its focal length. The average intensity of light, in $kW m ^{-2}$, at a distance $22 cm$ from the lens on the other side is. . . . .
A ball of mass $10\, kg$ moving with a velocity $10 \sqrt{3}\, ms ^{-1}$ along $X-$axis, hits another ball of mass $20\, kg$ which is at rest. After collision, the first ball comes to rest and the second one disintegrates into two equal pieces. One of the pieces starts moving along $Y-$ axis at a speed of $10\, m / s$. The second piece starts moving at a speed of $20\, m / s$ at an angle $\theta$ (degree) with respect to the $X-$axis. The configuration of pieces after collision is shown in the figure. The value of $\theta$ to the nearest integer is
Light is incident normally on a diffraction grating through which the first order diffraction is seen at $32^\circ$. The second order diffraction will be seen at
An engineer is given a fixed volume $V_m$ of metal with which to construct a spherical pressure vessel. Interestingly, assuming the vessel has thin walls and is always pressurized to near its bursting point, the amount of gas the vessel can contain, $n$ (measured in moles), does not depend on the radius $r$ of the vessel : instead it depends only on $V_m$ (measured in $m^3$) the temperature $T$ (mensured in $K$). the ideal gas constant $R$ (measured in $J/(K\ mol$ )), and the tensile strength of the metal $\sigma $ (measured in $N/m^2$ ) . Which of the following gives $n$ in terms of these parameters?
In $Li^{++},$ electron in first Bohr orbit is excited to a level by a radiation of wavelength $\lambda .$ When the ion gets deexcited to the ground state in all possible ways(including intermediate emission) a total of six spectral lines are observed. What is the value of $\lambda $?.....$nm$ (Given: $h = 6.63\times 10^{34}\,js; e = 3 \times 10^8\,ms^{-1}$ )
The maximum energy in the thermal radiation from a hot source occurs at a wavelength of $11 \times {10^{ - 5}}cm$. According to Wein's law, the temperature of the source (on Kelvin scale) will be $n$ times the temperature of another source (on Kelvin scale) for which the wavelength at maximum energy is $5.5 \times {10^{ - 5}}cm$. The value $n$ is
A ball is moving uniformly in a circular path of radius $1 m$ with a time period of $1.5 \,s$. If the ball is suddenly stopped at $t=8.3 \,s$, the magnitude of the displacement of the ball with respect to its position at $t=0 \,s$ is closest to .......... $m$
$'x' + H_2O \xrightarrow[{{H_2}S{O_4}}]{{HgS{O_4}}}$ $\begin{array}{*{20}{c}}
  {C{H_3} - C - C{H_2} - C{H_3}} \\ 
  {|\,|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ 
  {O\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} 
\end{array}$ reactant $'x'$ in above reaction is-
Two bulbs one of $200$ $\mathrm{volts},$ $60$ $\mathrm{watts}$ and the other of $200$ $\mathrm{volts},$ $100$ $\mathrm{watts}$ are connected in series to a $200$ $\mathrm{volt}$ supply. The power consumed will be ................ $\mathrm{watt}$