JEE Mains · Physics · STD 12 - 1. Electric charges and fields
Five charges \(+q,+5 q,-2 q,+3 q\) and \(-4 q\) are situated as shown in the figure. The electric flux due to this configuration through the surface \(S\) is _______.
- A \(\frac{5 q}{\epsilon_0}\)
- B \(\frac{4 q}{\epsilon_0}\)
- C \(\frac{3 q}{\epsilon_0}\)
- D \(\frac{q}{\epsilon_0}\)
Answer & Solution
Correct Answer
(B) \(\frac{4 q}{\epsilon_0}\)
Step-by-step Solution
Detailed explanation
As per gauss theorem, \(\phi=\frac{q_{\text {in }}}{\epsilon_0}=\frac{q+(-2 q)+5 q}{\epsilon_0}\) \(\frac{4 \mathrm{q}}{\epsilon_0}\)
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 wire of length \(2\,L\) is made by joining two wires \(A\) and \(B\) of same lengths but different radii \(r\) and \(2r\) and made of the same material. It is vibrating at a frequency such that the joint of the two wires forms a node. If the number of antinodes in wire \(A\) is \(p\) and that in \(B\) is \(q\) then the ratio \(p : q\) is
JEE Mains 2019 Hard - Within a spherical charge distribution of charge density \(\rho \left( r \right)\), \(N\) equipotential surfaces of potential \({V_0},{V_0} + \Delta V,{V_0} + 2\Delta V,\)\(.....{V_0} + N\Delta V\left( {\Delta V > 0} \right),\) are drawn and have increasing radii \(r_0, r_1, r_2,......r_N\), respectively. If the difference in the radii of the surfaces is constant for all values of \(V_0\) and \(\Delta V\) thenJEE Mains 2016 Hard
- An electric bulb rated as \(200\, {W}\) at \(100 \,{V}\) is used in a circuit having \(200\, {V}\) supply. The resistance \('R'\) that must be put in series with the bulb so that the bulb delivers the same power is \(.....\,\Omega\)JEE Mains 2021 Medium
- A galvanometer ( \(G\) ) of \(2 \Omega\) resistance is connected in the given circuit. The ratio of charge stored in \(C_1\) and \(C_2\) is _______.
JEE Mains 2024 Medium - Two projectiles are fired from ground with same initial speeds from same point at angles \(\left(45^{\circ}+\alpha\right)\) and \(\left(45^{\circ}-\alpha\right)\) with horizontal direction. The ratio of their times of flights isJEE Mains 2025 Easy
- Match list-\(I\) with list-\(II\):
(Where \(\mathrm{a}=\) radius of planet orbit, \(\mathrm{r}=\) radius of planet, \(M=\) mass of Sun, \(m=\) mass of planet)List-\(I\) List-\(II\) \((A)\)Kinetic energy of plant \((I)\) \(-\frac{\mathrm{GMm}}{\mathrm{a}}\) \((B)\) Gravaitatioin potentiyal energy of sun -plant system \((II)\) \(\frac{\mathrm{GMm}}{2 \mathrm{a}}\) \((C)\)Total mecaniacal energy of palnt \((III)\) \(\frac{\mathrm{Gm}}{\mathrm{r}}\) \((D)\)Escap energyat the surface of plant for unit mass object \((IV)\) \(-\frac{\mathrm{GMm}}{2 \mathrm{a}}\)
Choose the correct answer from the options given below:JEE Mains 2024 Hard
More PYQs from JEE Mains
- If the probability of hitting a target by a shooter, in any shot, is \(\frac{1}{3}\), then the minimum number of independent shots at the target required by him so that the probability of hitting the target at least once is greater than \(\frac{5}{6}\), isJEE Mains 2019 Hard
- If \(a _{1}(>0), a _{2}, a _{3}, a _{4}, a _{5}\) are in a G.P., \(a _{2}+ a _{4}=2 a _{3}+1\) and \(3 a _{2}+ a _{3}=2 a _{4}\), then \(a _{2}+ a _{4}+2 a _{5}\) is equal toJEE Mains 2022 Hard
- A plane electromagnetic wave travels in a medium of relative permeability \(1.61\) and relative permittivity \(6.44\). If magnitude of magnetic intensity is \(4.5 \times 10^{-2} \;Am ^{-1}\) at a point, what will be the approximate magnitude of electric field intensity at that point\(?\) (Given : permeability of free space \(\mu_{0}=4 \pi \times 10^{-7}\;NA ^{-2}\), speed of light in vacuum \(c =3 \times 10^{8} \;ms ^{-1}\) )JEE Mains 2022 Medium
- If \(A = \left[ {\begin{array}{*{20}{c}}2&{ - 3}\\{ - 4}&1\end{array}} \right],\) then \(adj\;\left( {3{A^2} + 12A} \right) = \) . . . .JEE Mains 2017 Medium
- Electric field of plane electromagnetic wave propagating through a non-magnetic medium is given by \({E}=20 \cos \left(2 \times 10^{10} {t}-200 {x}\right) \,{V} / {m} .\) The dielectric constant of the medium is equal to : (Take \(\mu_{{r}}=1\) )JEE Mains 2021 Hard
- A small metallic sphere of diameter 2 mm and density \(10.5 g / cm ^3\) is dropped in glycerine having viscosity 10 Poise and density \(1.5 g / cm ^3\) respectively. The terminal velocity attained by the sphere is ___________ \(cm / s\).
\(\left(\pi=\frac{22}{7}\right.\) and \(\left.g=10 m / s ^2\right)\)JEE Mains 2026 Hard