Electric Potential & Potential Energy questions with solutions

Showing 1–10 of 91 questions

• MCQmediumElectrostaticElectric Potential & Potential Energy

  A conducting bubble of radius a, thickness t (<< a) has potential V. Now the bubble collapses into a droplet. The potential of the surface of droplet will be :-

  Options

  • Option A

    V

  • Option B

    $\frac{V}{2}\left(\frac{2a}{3t}\right)^{\frac13}$

  • Option C

    $V\left(\frac{a}{3t}\right)^{\frac13}$

  • Option D

    $V\left(\frac{a}{3t}\right)^{\frac23}$

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• MCQeasyElectrostaticElectric Potential & Potential Energy

  In a certain region of space with volume 0.2 m³, the electric potential is found to be 5 V throughout. The magnitude of electric field in this region is:

  Options

  • Option A

    0.5 N/C

  • Option B

    1 N/C

  • Option C

    5 N/C

  • Option D

    zero

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  NEET 2020NEET Previous Year

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• MCQmediumElectrostaticElectric Potential & Potential Energy

  A positive charge Q is uniformly distributed throughout the volume of a nonconducting sphere of radius R. A point mass having charge +q and mass m is fired towards the centre of the sphere with velocity v from a point at distance r(r > R) from the centre of the sphere. Find the minimum velocity v so that it can penetrate R/2 distance of the sphere. Neglect any resistance other than electric interaction. Charge on the small mass remains constant throughout the motion.

  Options

  • Option A

    √[(2KQq/(mR))((r-R)/r + 3/8)]

  • Option B

    -(√[(2KQq/(mR))((r-R)/r + 3/8)])

  • Option C

    2×(√[(2KQq/(mR))((r-R)/r + 3/8)])

  • Option D

    (√[(2KQq/(mR))((r-R)/r + 3/8)])/2

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• MCQeasyElectrostaticElectric Potential & Potential Energy

  The electric potential V at any point (x, y, z) in space is given by V = x²y - y²z³ + 4. The electric field E⃗ at that point is:

  Options

  • Option A

    (2xy - z³)î + (x² - 2yz³)ĵ + (3y²z²)k̂

  • Option B

    (2xy - z³)î + (x² + 2yz³)ĵ - (3y²z²)k̂

  • Option C

    -2xyî + (-x² + 2yz³)ĵ + 3y²z²k̂

  • Option D

    (2xy - z³)î + x²ĵ + 3y²z²k̂

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  AIPMT Screening 2009NEET Previous Year

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• MCQmediumElectrostaticElectric Potential & Potential Energy

  A solid hemispherical uniformly charged body of total charge Q is kept symmetrically along the y-axis as shown. The electric potential at point P, at distance d from the origin along the x-axis, will be:

  

  Options

  • Option A

    Q/(4πε₀d)

  • Option B

    less than Q/(4πε₀d)

  • Option C

    more than Q/(4πε₀d) and less than 2Q/(4πε₀d)

  • Option D

    more than 2Q/(4πε₀d)

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• MCQmediumElectrostaticElectric Potential & Potential Energy

  The variation of electrostatic potential with radial distance r from centre of a positively charged metallic thin shell of radius R is given by which graph? [Diagram: Image]

  Options

  • Option A

    Image 1

  • Option B

    Image 2

  • Option C

    Image 3

  • Option D

    Image 4

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  NEET 2020NEET Previous Year

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• Multi-correctmediumElectrostaticElectric Potential & Potential Energy

  Six charges are placed at the vertices of a regular hexagon of side a. Five charges are q and the sixth is x, as shown. Select the correct statement(s) for the electric field and potential at the centre O.

  

  Select all that apply

  • Option A

    For x = q, the electric field at O is zero.

  • Option B

    For x = -q, |$E_{o}$| = q/(6πε₀a²).

  • Option C

    For x = 2q, $V_{o}$ = 7q/(4√3 πε₀a).

  • Option D

    For x = -3q, $V_{o}$= 3q/(4√3 πε₀a).

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  JEE Advanced 2022

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• MCQmediumElectrostaticElectric Potential & Potential Energy

  Charges q and -q are placed at points A and B a distance 2L apart. C is midpoint between A and B. Work done in moving charge +Q along semicircle CRD as shown in figure is: [Diagram: Image]

  Options

  • Option A

    2qQ/(3πε₀L)

  • Option B

    -qQ/(6πε₀L)

  • Option C

    3qQ/(6πε₀L)

  • Option D

    4qQ/(3πε₀L)

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  AIPMT 2007NEET Previous Year

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• MCQmediumElectrostaticElectric Potential & Potential Energy

  Two identical particles of mass m carry a charge Q each. Initially one is at rest on a smooth horizontal plane and the other is projected along the plane directly towards first particle from a large distance with speed ν. The closest distance of approach will be

  Options

  • Option A

    $\frac{1}{4\pi\varepsilon_{\omicron}}\frac{Q^2}{mv}$

  • Option B

    $\frac{1}{4\pi\varepsilon_{\omicron}}\frac{4Q^2}{mv^2}$

  • Option C

    $\frac{1}{4\pi\varepsilon_{\omicron}}\frac{2Q^2}{mv^2}$

  • Option D

    $\frac{1}{4\pi\varepsilon_{\omicron}}\frac{3Q^2}{mv^2}$

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• MCQeasyElectrostaticElectric Potential & Potential Energy

  Two concentric spheres of radii R and r have similar charges with equal surface charge densities (σ). What is the electric potential at their common centre?

  Options

  • Option A

    (σ/ε₀)(R - r)

  • Option B

    (σ/ε₀)R

  • Option C

    (σ/ε₀)(R + r)

  • Option D

    None of these

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  AIPMT 1991NEET Previous Year

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