JEE Mains · Physics · STD 12 - 1. Electric charges and fields
Shown in the figure is a shell made of a conductor. It has inner radius \(a\) and outer radius \(b\), and carries charge \(Q\). At its centre is a dipole \(\vec P\) as shown. In this case
- A Surface charge density on the inner surface of the shell is zero everywhere
- B Electric field outside the shell is the same as that of a point charge at the centre of the shell
- C Surface charge density on the inner surface is uniform and equal to \(\frac{{\left( {Q/2} \right)}}{{4\pi {a^2}}}\)
- D Surface charge density on the outer surface depends on \(\left| {\vec P} \right|\)
Answer & Solution
Correct Answer
(B) Electric field outside the shell is the same as that of a point charge at the centre of the shell
Step-by-step Solution
Detailed explanation
Total charge of dipole \(=0,\) so charge induced on outside surface \(=0\). But due to non uniform electric field of dipole, the charge induced on inner surface is non zero and non uniform. So, for any observer outside the shell, the resultant electric field is due to Q…
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
- The identical spheres each of mass \(2 \mathrm{M}\) are placed at the corners of a right angled triangle with mutually perpendicular sides equal to \(4 \mathrm{~m}\) each. Taking point of intersection of these two sides as origin, the magnitude of position vector of the centre of mass of the system is \(\frac{4 \sqrt{2}}{x}\), where the value of \(x\) is _______.JEE Mains 2024 Hard
- The radius of a nucleus of mass number \(64\) is \(4.8\) fermi. Then the mass number of another nucleus having radius of \(4\) fermi is \(\frac{1000}{x}\), where \(x\) is _______.JEE Mains 2024 Hard
- Two identical objects are placed in front of convex mirror and concave mirror having same radii of curvature of 12 cm , at same distance of 18 cm from the respective mirrors. The ratio of sizes of the images formed by convex mirror and by concave mirror is :JEE Mains 2025 Easy
- Two radioactive elements \(A\) and \(B\) initially have same number of atoms. The half life of \(A\) is same as the average life of \(B\). If \(\lambda_A\) and \(\lambda_B\) are decay constants of \(A\) and \(B\) respectively, then choose the correct relation from the given options.JEE Mains 2023 Easy
- Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : The binding energy per nucleon is found to be practically independent of the atomic number A, for nuclei with mass numbers between 30 and 170.
Reason (R): Nuclear force is long range.
In the light of the above statements, choose the correct answer from the options given below :JEE Mains 2025 Easy - Given below are two statements: one is labelled as Assertion \(\mathrm{A}\) and the other is labelled as Reason \(\mathrm{R}\) Assertion A : The kinetic energy needed to project a body of mass m from earth surface to infinity is \(\frac{1}{2} \mathrm{mgR}\), where R is the radius of earth.
Reason \(\mathrm{R}\) : The maximum potential energy of a body is zero when it is projected to infinity from earth surface.
In the light of the above statements, choose the correct answer from the option given belowJEE Mains 2025 Easy
More PYQs from JEE Mains
- If the image of the point \(\mathrm{P}(1,0,3)\) in the line joining the points \(\mathrm{A}(4,7,1)\) and \(\mathrm{B}(3,5,3)\) is \(\mathrm{Q}(\alpha, \beta, \gamma)\), then \(\alpha+\beta+\gamma\) is equal toJEE Mains 2025 Medium
- If the area bounded by the curve \(2 y^2=3 x\), lines \(x+y=3, y=0\) and outside the circle \((x-3)^2+y^2=2\) is \(A\), then \(4(\pi+4 A )\) is equal to \(.........\).
JEE Mains 2023 Hard - \(\lim \limits_{x \rightarrow 0} \frac{x\left(e^{\frac{\left(\sqrt{1+x^{2}+x^{4}}-1\right)}{x}}-1\right)}{\sqrt{1+x^{2}+x^{4}}-1}\) is equal toJEE Mains 2020 Hard
- In an \(LCR\) series circuit, an inductor \(30 \,{mH}\) and a resistor \(1 \, \Omega\) are connected to an \(AC\) source of angular frequency \(300 \, {rad} / {s}\). The value of capacitance for which, the current leads the voltage by \(45^{\circ}\) is \(\frac{1}{x} \times 10^{-3} \, {F}\). Then the value of \(x\) is ..... .JEE Mains 2021 Hard
- Let \((\alpha, \beta, \gamma)\) be mirror image of the point \((2,3,5)\) in the line \(\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}\). Then \(2 \alpha+3 \beta+4 \gamma\) is equal toJEE Mains 2024 Medium
- A galvanometer with its coil resistance \(25\,\Omega \) requires a current of \(1\,mA\) for its full deflection. In order to construct an ammeter to read up to a current of \(2\,A,\) the approximate value of the shunt resistance should beJEE Mains 2018 Hard