JEE Mains · Physics · STD 12 - 2. Electric potential and capacitance
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 .
- A \(1:2\)
- B \(2:1\)
- C \(1:1\)
- D \(1:4\)
Answer & Solution
Correct Answer
(B) \(2:1\)
Step-by-step Solution
Detailed explanation
\(V _{ A }= V _{ B }\) \(\frac{ KQ _{ A }}{ R _{ A }}=\frac{ KQ _{ B }}{ R _{ B }}\) \(\frac{ Q _{ A }}{ Q _{ B }}=\frac{ R _{ A }}{ R _{ B }}=\frac{1}{2}\) \(E _{ A }=\frac{ KQ _{ A }}{ R _{ A }^{2}} ; E _{ B }=\frac{ KQ _{ B }}{ R _{ B }^{2}}\)…
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 radioactive nucleus decays by two different processes. The half life for the first process is \(10\, s\) and that for the second is \(100 s\). the effective half life of the nucleus is close to\(.....sec\)JEE Mains 2020 Medium
- A gas has \(n\) degrees of freedom. The ratio of specific heat of gas at constant volume to the specific heat of gas at constant pressure will be.JEE Mains 2022 Medium
- Two point charges \(A\) and \(B\) of magnitude \(+8 \times 10^{-6}\,C\) and \(-8 \times 10^{-6}\,C\) respectively are placed at a distance \(d\) apart. The electric field at the middle point \(O\) between the charges is \(6.4 \times 10^{4}\,NC ^{-1}\). The distance ' \(d\) ' between the point charges \(A\) and \(B\) is..............\(m\)JEE Mains 2022 Medium
- Seven identical circular planar disks, each of mass \(M\) and radius \(R\) are welded symmetrically as shown. The moment of inertia of the arrangement about the axis normal to the plane and passing through the point \(P\) is:
JEE Mains 2018 Hard - Proton \((P)\) and electron \((e)\) will have same deBroglie wavelength when the ratio of their momentum is (assume, \(m _{ p }=1849\,m _{ e }\))JEE Mains 2023 Easy
- The current \(I\) in the given circuit will be \(......A\)
JEE Mains 2022 Medium
More PYQs from JEE Mains
- A air bubble of radius \(1\,cm\) in water has an upward acceleration \(9.8\, cm\, s ^{-2}\). The density of water is \(1\, gm\, cm ^{-3}\) and water offers negligible drag force on the bubble. The mass of the bubble is\(.......gm\) \(\left( g =980 \,cm / s ^{2}\right)\)JEE Mains 2020 Hard
- The plane which bisects the line segment joining the points \((-3, -3, 4)\) and \((3, 7, 6)\) at right angles, passes through which one of the following points?JEE Mains 2019 Hard
- Let \(S\) be the set of all passwords which are six to eight characters long, where each character is either an alphabet from \(\{ A , B , C , D , E \}\) or a number from \(\{1,2,3,4,5\}\) with the repetition of characters allowed. If the number of passwords in \(S\) whose at least one character is a number from \(\{1,2,3,4,5\}\) is \(\alpha \times 5^{6}\), then \(\alpha\) is equal to \(.......\)JEE Mains 2022 Hard
- Let \(D\) be the domain of the function \(f(x)=\sin ^{-1}\) \(\left(\log _{3 x}\left(\frac{6+2 \log _3 x}{-5 x}\right)\right)\). If the range of the function \(g: D \rightarrow R\) defined by \(g( x )= x -[ x ],([ x ]\) is the greatest integer function), is ( \(\alpha, \beta)\), then \(\alpha^2+\frac{5}{\beta}\) is equal toJEE Mains 2023 Hard
- Let the mean and variance of \(8\) numbers \(x , y , 10\), \(12,6,12,4,8\), be \(9\) and \(9.25\) respectively. If \(x > y\), then \(3 x-2 y\) is equal to \(...........\).JEE Mains 2023 Hard
- Two different families \(A\) and \(B\) are blessed with equal number of children. There are \(3\) tickets to be distributed amongst the children of these families so that no child gets more than one ticket . If the probability that all the tickets go to the children of the family \(B\) is \(\frac {1}{12}\) , then the number of children in each family is?JEE Mains 2018 Hard