AP EAMCET · PHYSICS · Electrostatics
Electric potential due to a space is given by \(\phi(x, y, z)=\phi_0 \frac{x_0}{x}\); when \(x_0=5 \mathrm{~m}\) and \(\phi_0=8 V\). Find the electric field at \((10 \mathrm{~m}, 5 \mathrm{~m}, 5 \mathrm{~m})\)
- A \(0.40 \mathrm{Vm}^{-1} \hat{\mathrm{i}}\)
- B \(-0.40 \mathrm{Vm}^{-1} \hat{\mathrm{i}}\)
- C \(4.0 \mathrm{Vm}^{-1} \hat{\mathrm{i}}\)
- D \(-4.0 \mathrm{Vm}^{-1} \hat{\mathrm{i}}\)
Answer & Solution
Correct Answer
(A) \(0.40 \mathrm{Vm}^{-1} \hat{\mathrm{i}}\)
Step-by-step Solution
Detailed explanation
We have \(E=-\frac{d v}{d x}=-\frac{d}{d x} \frac{\left[\phi_0 x_0\right]}{x}=-\phi_0 x_0 \times-\frac{1}{x^2}=\frac{40}{x^2}\) So, \(\left.\mathrm{E}\right|_{(10,5,5)}=\frac{40}{10^2}=0.4 \mathrm{~V} / \mathrm{m}\)
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
- If the amplitude of a lightly damped oscillator decreases by \(1.5 \%\) then the mechanical energy of the oscillator lost in each cycle isAP EAMCET 2022 Medium
- A body of mass \(5 \mathrm{~kg}\) makes an elastic collision with another body at rest and continues to move in the original direction after collision with a velocity equal to \(\frac{1}{10}\) th of its original velocity. Then the mass of the second body isAP EAMCET 2009 Medium
- In a plane electromagnetic wave \(U_E\) and \(U_B\) are average energy densities of electric field and magnetic field respectively, then the correct option in the following isAP EAMCET 2022 Easy
- A particle is released from a height . At a certain height its kinetic energy is half of its potential energy with reference to the surface of the earth. Height and speed of the particle at that instant are respectivelyAP EAMCET 2018 Easy
- Two insulated charged metallic spheres \(P\) and \(Q\) of negligible radii have their centres separated by a distance of \(60 \mathrm{~cm}\). The mutual force of electrostatic repulsion, if the charge on each is \(6 \times 10^{-7} \mathrm{C}\) isAP EAMCET 2021 Medium
- A body is projected horizontally from the top of a tower of height \(180 \mathrm{~m}\) with a velocity of \(20 \mathrm{~ms}^{-1}\). If acceleration due to gravity is \(10 \mathrm{~ms}^{-2}\), then match the following.
\(\begin{array}{llll}A & B & C & D\end{array}\)AP EAMCET 2018 Medium
More PYQs from AP EAMCET
- The angular frequency of a block of mass 0.1 kg oscillating with the help of a spring of force constant \(2.5 \mathrm{Nm}^{-1}\) isAP EAMCET 2025 Easy
- A body is projected from the earth at angle \(30^{\circ}\) with the horizontal with some initial velocity. If its range is \(20 \mathrm{~m}\), the maximum height reached by it is : (in metres)AP EAMCET 2006 Easy
- Assertion A An astronaut inside a massive spaceship orbiting around the earth will experience a finite but small gravitational force.
Reason \(\mathbf{R}\) The centripetal force necessary to keep the spaceship in orbit around the earth is provided by the gravitational force between the earth and the spaceship.AP EAMCET 2011 Easy - \(\int_0^1 \sin ^{-1}\left(\frac{2 x}{1+x^2}\right) d x=\)AP EAMCET 2020 Medium
- \(5 \mathrm{~g}\) of ice at \(-30^{\circ} \mathrm{C}\) and \(20 \mathrm{~g}\) of water at \(35^{\circ} \mathrm{C}\) are mixed together in a calorimeter.
The final temperature of the mixture is (Neglect heat capacity of the calorimeter, specific heat capacity of ice \(=0.5 \mathrm{cal} \mathrm{g}^{-1}{ }^{\circ} \mathrm{C}^{-1}\) and latent heat of fusion of ice \(=80 \mathrm{cal} \mathrm{g}^{-1}\) and specific hea: capacity of water \(\left.=1 \mathrm{cal} \mathrm{g}^{-1}{ }^{\circ} \mathrm{C}^{-1}\right)\)AP EAMCET 2022 Easy - If \(\frac{x^2+x+1}{x^2+2 x+1}=A+\frac{B}{x+1}+\frac{C}{(x+1)^2}\), then \(A-B\) is equal toAP EAMCET 2020 Easy