MHT CET · Physics · Capacitance
A condenser of capacity ' \(\mathrm{C}_1\) ' is charged to potential ' \(\mathrm{V}_1\) ' and then disconnected. Uncharged capacitor of capacity ' \(\mathrm{C}_2\) ' is connected in parallel with ' \(\mathrm{C}_1\) '. The resultant potential ' \(\mathrm{V}_2\) ' is
- A \(\frac{\mathrm{V}_1 \mathrm{C}_2}{\mathrm{C}_1}\)
- B \(\frac{\mathrm{C}_2}{\mathrm{C}_1+\mathrm{C}_2}\)
- C \(\frac{\mathrm{C}_1 \mathrm{~V}_1}{\mathrm{C}_2}\)
- D \(\frac{\mathrm{C}_1 \mathrm{~V}_1}{\mathrm{C}_1+\mathrm{C}_2}\)
Answer & Solution
Correct Answer
(D) \(\frac{\mathrm{C}_1 \mathrm{~V}_1}{\mathrm{C}_1+\mathrm{C}_2}\)
Step-by-step Solution
Detailed explanation
The charge stored by the charged condenser is
\(\mathrm{Q}=\mathrm{C}_1 \mathrm{~V}_1\)
When the uncharged condenser is connected in parallel, the effective capacitance becomes \(\left(\mathrm{C}_1+\mathrm{C}_2\right)\)
Hence the potential, \(\mathrm{V}_2=\frac{\mathrm{Q}}{\mathrm{C}_1+\mathrm{C}_2}=\frac{\mathrm{C}_1 \mathrm{~V}_1}{\mathrm{C}_1+\mathrm{C}_2}\)
\(\mathrm{Q}=\mathrm{C}_1 \mathrm{~V}_1\)
When the uncharged condenser is connected in parallel, the effective capacitance becomes \(\left(\mathrm{C}_1+\mathrm{C}_2\right)\)
Hence the potential, \(\mathrm{V}_2=\frac{\mathrm{Q}}{\mathrm{C}_1+\mathrm{C}_2}=\frac{\mathrm{C}_1 \mathrm{~V}_1}{\mathrm{C}_1+\mathrm{C}_2}\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A progressive wave of frequency \(50 \mathrm{~Hz}\) is travelling with velocity \(350 \mathrm{~m} / \mathrm{s}\) through a medium. The change in phase at a given time interval of 0.01 second isMHT CET 2021 Medium
- LC series resonant circuit produces resonant frequency ' f '. If. ' L ' is tripled and ' C ' is increased by 3C, the resonant frequency will beMHT CET 2024 Medium
- A long solenoid carrying a current produces magnetic field B along its axis. If the number of turns per cm are tripled and the current is made \(\left(\frac{1}{4}\right)^{\mathrm{th}}\) then the new value of magnetic field will beMHT CET 2024 Easy
- The SI unit of \(\frac{G}{g}\) is \((g=\) acceleration due to gravity, \(G=\) constant of gravitation \()\)MHT CET 2020 Easy
- If a lighter body of mass ' \(\mathrm{M}_1\) ' and velocity ' \(\mathrm{V}_1\) ' and a heavy body (mass \(\mathrm{M}_2\) and velocity \(\mathrm{V}_2\) ) have the same kinetic energy thenMHT CET 2023 Easy
- The telescopes, for a given wavelength, the objectives with large aperture are used forMHT CET 2024 Easy
More PYQs from MHT CET
- For a particle performing S.H.M., the total energy is ' n ' times the kinetic energy, when the displacement of a particle from mean position is \(\frac{\sqrt{3}}{2}\) A, where \(A\) is the amplitude of S.H.M. The value of ' \(n\) ' isMHT CET 2025 Medium
- In the following reaction sequence, \(\mathrm{CH}_{3} \mathrm{CHO} \frac{\mathrm{Cl}_{2}}{\mathrm{Ca}(\mathrm{OH})_{2}} \times \frac{\mathrm{C}_{6} \mathrm{H}_{5} \mathrm{NH}_{2}}{\mathrm{Alc} . \mathrm{KOH}} Y\)
\(Y\) isMHT CET 2010 Medium - Match name of hormone in column 1 with its source of secretion in column II and function in column III.
Column-I Column-II Column-III (a) Prolactin (l) Graffian follicle (p) Secondary sexual characters of males (b) Estrogens (m) Pituitary gland (q) Development of lactiferous tubules (c) GnRH (n) Hypothalamus (r) Secondary sexual characters in females (d) Androgen (o) Interstitial cells (s) Stimulates release of FSH MHT CET 2022 Hard - Identify basic \(\alpha\)-amino acid from following.MHT CET 2021 Easy
- \(\mathrm{A}, \mathrm{B}\) and \(\mathrm{C}\) are three parallel conductors of equal lengths carrying currents I, I and 2I respectively. Distance between A and \(B\) is ' \(x\) ' and that between B and \(C\) is also ' \(x\) '. \(F_1\) is the force exerted by conductor \(\mathrm{B}\) on \(\mathrm{A}\). \(\mathrm{F}_2\) is the force exerted by conductor \(\mathrm{C}\) on \(\mathrm{A}\). Current \(\mathrm{I}\) in \(\mathrm{A}\) and \(\mathrm{I}\) in \(\mathrm{B}\) are in same direction and current \(2 \mathrm{I}\) in \(\mathrm{C}\) is in opposite direction. ThenMHT CET 2021 Easy
- Two spherical soap bubbles of radii ' \(a\) ' and ' \(b\) ' in vacuum coalesce under isothermal conditions. The resulting bubble has a radius equal toMHT CET 2023 Medium