JEE Mains · Physics · STD 12 - 2. Electric potential and capacitance
A point charge \(2 \times 10^{-2}\,C\) is moved from \(P\) to \(S\) in a uniform electric field of \(30\,NC ^{-1}\) directed along positive \(x\)-axis. If coordinates of \(P\) and \(S\) are \((1,2\), \(0) m\) and \((0,0,0) m\) respectively, the work done by electric field will be \(.........\,mJ\)
- A \(1200\)
- B \(600\)
- C \(-600\)
- D \(-1200\)
Answer & Solution
Correct Answer
(C) \(-600\)
Step-by-step Solution
Detailed explanation
\(\omega_{ E }= q \overrightarrow{ E } \cdot \overrightarrow{ S }\) \(=2 \times 10^{-2}[30 \hat{ i } \cdot(-\hat{ i })]\) \(=2 \times 10^{-2}(-30)\) \(=-60 \times 10^{-2}\) \(=-\frac{60}{100}=-0.6\,J\) \(=-600\,mJ\)
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
- An alternating \(emf\) \(E =440 \sin 100 \pi t\) is applited to a circuit containing an inductance of \(\frac{\sqrt{2}}{\pi} H\). If an a.c. ammeter is connected in the circuit, its reading will be \(.......A\)JEE Mains 2022 Hard
- A 4.0 cm long straight wire carrying a current of 8A is placed perpendicular to an uniform magnetic field of strength 0.15 T. The magnetic force on the wire is ______ mN.JEE Mains 2025 Easy
- Two uniformly charged spherical conductors \(A\) and \(B\) of radii \(5 mm\) and \(10 mm\) are separated by a distance of \(2 cm\). If the spheres are connected by a conducting wire, then in equilibrium condition, the ratio of the magnitudes of the electric fields at the surface of the sphere \(A\) and \(B\) will be .JEE Mains 2022 Medium
- As per the given circuit, the value of current through the battery will be \(\dots \; A\).
JEE Mains 2022 Medium - Angular momentum of an electron in a hydrogen atom is \(\dfrac{3h}{\pi}\), then the energy of the electron is _______ eV.JEE Mains 2026 Easy
- In the reported figure, a capacitor is formed by placing a compound dielectric between the plates of parallel plate capacitor. The expression for the capacity of the said capacitor will be (Given area of plate \(=A\) )
JEE Mains 2021 Medium
More PYQs from JEE Mains
- A body of mass \(5\, kg\) under the action of constant force \(\overrightarrow F = {F_x}\hat i + {F_y}\hat j\) has velocity at \(t\,= 0\, s\) as \(\overrightarrow v = \left( {6\hat i - 2\hat j\,m/s} \right)\) and at \(t\, = 10\,s\) as \(\overrightarrow v = +6\hat j\,m/s\). The force \(\overrightarrow F \) isJEE Mains 2014 Medium
- Let \(A=\{(\alpha, \beta) \in \mathbf{R} \times \mathbf{R}:|\alpha-1| \leq 4 \text { and }|\beta-5| \leq 6\}\) and \(B=\{(\alpha, \beta) \in \mathbf{R} \times\) \(\mathbf{R}: 16(\alpha-2)^2+9(\beta-6)^2 \leq 144\}\)JEE Mains 2025 Easy
- In the given figure, the \(emf\) of the cell is \(2.2\, {V}\) and if internal resistance is \(0.6\, \Omega\). Calculate the power dissipated in the whole circuit: (in \(W\))
JEE Mains 2021 Hard - An alternating voltage source \(V =260 \sin (628\,t )\) is connected across a pure inductor of \(5\,mH\). Inductive reactance in the circuit is \(......... \Omega\)JEE Mains 2023 Easy
- \(\int_{0}^{2}\left(\left|2 x^{2}-3 x\right|+\left[x-\frac{1}{2}\right]\right) d x\),where is the greatest integer function, is equal to.JEE Mains 2022 Hard
- Let \(\vec{a}=\hat{i}+\hat{j}+2 \hat{k}, \vec{b}=2 \hat{i}-3 \hat{j}+\hat{k}\) and \(\overrightarrow{ c }=\hat{ i }-\hat{ j }+\hat{ k }\) be three given vectors. Let \(\vec{v}\) be a vector in the plane of \(\vec{a}\) and \(\overrightarrow{ b }\) whose projection on \(\overrightarrow{ c }\) is \(\frac{2}{\sqrt{3}}\). If \(\overrightarrow{ v } . \hat{ j }=7\), then \(\overrightarrow{ v } \cdot(\hat{ i }+\hat{ k })\) is equal toJEE Mains 2022 Medium