JEE Mains · Physics · STD 12 - 2. Electric potential and capacitance
A parallel plate capacitor having capacitance \(12\, pF\) is charged by a battery to a potential difference of \(10\, V\) between its plates. The charging battery is now disconnected and a porcelain slab of dielectric constant \(6.5\) is slipped between the plates. The work done by the capacitor on the slab is.......\(pJ\)
- A \(692\)
- B \(508\)
- C \(560\)
- D \(600\)
Answer & Solution
Correct Answer
(B) \(508\)
Step-by-step Solution
Detailed explanation
\(W = \frac{{{Q^2}}}{{2c}} - \frac{{{Q^2}}}{{2ck}}\) \( = \frac{{{Q^2}}}{{2c}}\left[ {1 - \frac{1}{k}} \right]\) \( = \frac{1}{2} \times 12 \times 100\,pJ\left( {1 - \frac{1}{{6.5}}} \right)\) \( = \frac{{12 \times 100 \times 11}}{{2 \times 13}}\,{\text{pJ}}\)…
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 thin circular disc of mass \(M\) and radius \(R\) is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with angular velocity \(\omega\). If another disc of same dimensions but of mass \(\mathrm{M} / 2\) is placed gently on the first disc co-axially, then the new angular velocity of the system is _______.JEE Mains 2024 Hard
- Which of the following physical quantities have the same dimensions?JEE Mains 2022 Hard
- Moment of inertia of a square plate of side \(l\) about the axis passing through one of the corner and perpendicular to the plane of square plate is given byJEE Mains 2021 Hard
- Two identical positive charges \(Q\) each are fixed at a distance of ' \(2 a\) ' apart from each other. Another point charge qo with mass ' \(m\) ' is placed at midpoint between two fixed charges. For a small displacement along the line joining the fixed charges, the charge \(q_{0}\) executes \(SHM\). The time period of oscillation of charge \(q_{0}\) will be.JEE Mains 2022 Hard
- The logic gate equivalent to the given logic circuit is
JEE Mains 2019 Medium - A cyclist starts from the point \(P\) of a circular ground of radius \(2 \mathrm{~km}\) and travels along its circumference to the point \(\mathrm{S}\). The displacement of a cyclist is _______.
JEE Mains 2024 Hard
More PYQs from JEE Mains
- If a variable line drawn through the intersection of the lines \(\frac{x}{3} + \frac{y}{4} = 1\) and \(\frac{x}{4} + \frac{y}{3} = 1\) , meets the coordinate axes at \(A\) and \(B,\) \((A \ne B),\) then the locus of the midpoint of \(AB\) isJEE Mains 2016 Hard
- Two satellites revolve around a planet in coplanar circular orbits in anticlockwise direction. Their period of revolutions are \(1\, hour\) and \(8\, hours\) respectively. The radius of the orbit of nearer satellite is \(2 \times 10^{3}\, {km}\). The angular speed of the farther satellite as observed from the nearer satellite at the instant when both the satellites are closest is \(\frac{\pi}{{x}}\, {rad} \,{h}^{-1}\) where \({x}\) is ..... .JEE Mains 2021 Hard
- If three positive numbers \(a, b\) and \(c\) are in \(A.P.\) such that \(abc\, = 8\), then the minimum possible value of \(b\) isJEE Mains 2017 Hard
- \(\mathop {\lim }\limits_{x \to \infty } \,\left( {\frac{n}{{{n^2}\, + {1^2}}} + \frac{n}{{{n^2} + {2^2}}} + \frac{n}{{{n^2} + {3^2}}} + ...\frac{1}{{5n}}} \right)\) is equal toJEE Mains 2019 Hard
- In a Young’s double slit experiment with slit separation \(0.1\, mm\), one observes a bright fringe at angle \(\frac{1}{{40}}\, rad\) by using light of wavelength \({\lambda _1}\). When the light of wavelength \(\lambda _2\) is used a bright fringe is seen at the same angle in the same set up. Given that \({\lambda _1}\) and \({\lambda _2}\) are in visible range (\(380\, nm\) to \(740\, nm\)), their values areJEE Mains 2019 Medium
- A rod of mass \(‘M’\) and length \(‘2L’\) is suspended at its middle by a wire. It exhibits torsional oscillations; If two masses each of \(‘m’\) are attached at distance \(‘L/2’\) from its centre on both sides, it reduces the oscillation frequency by \(20\%\). The value of ratio \(m/M\) is close toJEE Mains 2019 Hard