JEE Mains · Physics · STD 12 - Electric potential and capacitance
- JEE Mains 2023
- Medium
- MCQ
Given below are two statements: One is labelled as Assertion \(A\) and the other is labelled as Reason \(R\). Assertion \(A:\) Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one. Reason \(R:\) Capacitance of metallic spheres depend on the radii of spheres. In the light of the above statements, choose the correct answer from the options given below.
Pick an option to check your answer.
Answer & Solution
Correct Answer
(A) \(A\) is false but \(R\) is true
Step-by-step Solution
Detailed explanation
Potential of a conducting sphere is
\(V =\frac{ KQ }{ R } \text { (Solid as well as hollow) }\)
\(V _1= V _2 \text { and } R _1= R _2\)
\(\therefore Q _1= Q _2\)
More questions from Physics
- The terminal velocity \(\left( v _{ t }\right)\) of the spherical rain drop depends on the radius ( \(r\) ) of the spherical rain drop asJEE Mains 2022 Easy
- Two convex lenses of focal length \(20\,cm\) each are placed coaxially with a separation of \(60\,cm\) between them. The image of the distant object formed by the combination is at \(...........\,cm\) from the first lens.JEE Mains 2023 Medium
- The radius of curvature for a thin convex lens are 10 cm and 15 cm respectively. The focal length of the lens is 12 cm. The refractive index of the lens material is :JEE Mains 2025 Easy
- A simple pendulum with length \(100\,cm\) and bob of mass \(250\,g\) is executing S.H.M. of amplitude \(10\,cm\). The maximum tension in the string is found to be \(\frac{x}{40}\,N\). The value of \(x\) is \(..........\).JEE Mains 2023 Hard
- Match List\(-I\) with List\(-II\)
Question: Choose the correct answer from the options given belowList \(-I\) List \(-II\) \((A)\) Moment of inertia of solid sphere of radius \((R)\) about any tangent \((I)\) \(\frac{5}{3} MR ^{2}\) \((B)\) Moment of inertia of hollow sphere of radius \((R)\) about any tangent \((II)\) \(\frac{7}{5} MR ^{2}\) \((C)\) Moment of inertia of circular ring of radius \((R)\) about its diameter. \((III)\) \(\frac{1}{4} MR ^{2}\) \((D)\) Moment of inertia of circular disc of radius \((R)\) about any diameter. \((IV)\) \(\frac{1}{2} MR ^{2}\) JEE Mains 2022 Medium - An object \(AB\) is placed \(15\text{ cm}\) on the left of a convex lens \(P\) of focal length \(10\text{ cm}\). Another convex lens \(Q\) is now placed \(15\text{ cm}\) right of lens \(P\). If the focal length of lens \(Q\) is \(15\text{ cm}\), the final image is _______.JEE Mains 2026 Medium
More PYQs from JEE Mains
- In the reported figure of earth, the value of acceleration due to gravity is same at point \(A\) and \(C\) but it is smaller than that of its value at point \(B\) (surface of the earth). The value of OA \(: AB\) will be \(x : y .\) The value of \(x\) is \(\ldots \ldots \ldots\)
JEE Mains 2021 Hard - The energy of an electron in an orbit of the Bohr's atom is \(-0.04 E _0 eV\) where \(E _0\) is the ground state energy. If \(L\) is the angular momentum of the electron in this orbit and h is the Planck's constant, then \(\frac{2 \pi L}{ h }\) is _________ :JEE Mains 2026 Easy
- An electric dipole of dipole moment \(6 \times 10^{-6} \mathrm{Cm}\) is placed in uniform electric field of magnitude \(10^6 \mathrm{~V} / \mathrm{m}\). Initially, the dipole moment is parallel to electric field. The work that needs to be done on the dipole to make its dipole moment opposite to the field, will be ____ J.JEE Mains 2025 Medium