Equipotential Surfaces
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Q. Equipotential surfaces are shown in the following figure. Then the electric field strength will be
- 100 Vm−1 along X-axis
- 100 Vm−1 along Y-axis
- 200 Vm−1 at an angle 120∘ with X-axis
- 50 Vm−1 at an angle 120∘ with X-axis
Q. If a graph is plotted by taking spectral emissive power along y-axis and wavelength along x-axis then the area below the graph above wavelength axis is (1) Emissivity (2) Total intensity of radiation (3) Diffusivity (4) Solar constant
Q. The electric field lines are always perpendicular to an equipotential surface.
- True
- False
Q. A hollow conducting sphere is placed in an electric field produced by a point charge placed at P as shown in figure. Let VA, VB, VC be the potentials at points A, B and C respectively. Then
- VC>VB
- VB>VC
- VA>VB
- VA=VC
Q. The figure shows the equipotential contours due to three point charges. The labels on the contours are in Volts.
- The electric field at e is directed normal to the 221.7 V contour and away from the 312.1 V contour
- A charge released from rest on one of these contours will not move along the contour
- Two of charges are positive and one is negative
- –118.1 J of work is done to move a charge of 1 Coulomb from d to c along the contour
Q. A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d as shown in the figure. The inner shell has total charge +2q and outer shell has charge +4q. The graph of radial component of electric field (E) as a function of distance (r) from centre of shell will be:
Q. The diagrams below show regions of equipotentials.
A positive charge q is moved from A to B in each diagram.
A positive charge q is moved from A to B in each diagram.
- In all the four cases the work done is the same.
- Minimum work is required to move q in figure (a).
- Maximum work is required to move q in figure (b)
- Maximum work is required to move q in figure (c).
Q. A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d as shown in the figure. The inner shell has total charge +2q and outer shell has charge +4q. The graph of radial component of electric field (E) as a function of distance (r) from centre of shell will be:
Q. If a graph is plotted by taking spectral emissive power along y axis and wavelength along x axis then the area below the graph above the wavelength axis is
1)Emissivity
2)Total intensity of radiation
3)Diffusivity
4) Solar constant
Q. Find ratio of charges on the capacitors 2C and 3C in the shown circuit.
दर्शाए गए परिपथ में 2C तथा 3C के संधारित्रों पर आवेशों का अनुपात ज्ञात कीजिए।
दर्शाए गए परिपथ में 2C तथा 3C के संधारित्रों पर आवेशों का अनुपात ज्ञात कीजिए।
- 1
- 2
- 12
- 4
Q. Assertion & Reason type
Statement1: Electric field is always perpendicular to an equipotential surface.
Statement2: If there was a component of →E along the surface, that would mean there is a potential change along that component and hence the surface is not equipotential.
Statement1: Electric field is always perpendicular to an equipotential surface.
Statement2: If there was a component of →E along the surface, that would mean there is a potential change along that component and hence the surface is not equipotential.
- Statement 1 is correct, statement 2 is correct and statement 2 is the correct reason for assertive statement 1.
- Statement 1 is correct, statement 2 is correct but statement 2 is not the correct reason for assertive statement 1.
- Statement 1 is correct but statement 2 is incorrect.
- Statement 1 is incorrect and statement 2 is correct.
Q. In moving from A to B along an electric field line, the work done by the electric field on an electron is 6.4×10−19 J. If ϕ1 and ϕ2 are equipotential surfaces, then the potential difference VC - VA
- −4 V
- zero
- 4 V
- 6.4 V
Q. The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and of a circular ring of the same radius about a tangential axis in the plane of the ring is
Q. If a unit positive charge is taken from one point to another over an equipotential surface, then
- Work is done on the charge
- Work is done by the charge
- Work done is constant
- No work is done
Q. Explain the concept of dot product of two vectors.
Q. Which of these are not equipotential surfaces? (Dotted lines represent the surfaces in question)
- 2 infinitely large parallel charged plates as shown
- Point charge
- Infinitely long charged rod
- None of these
Q. Assertion & Reason type
Statement1: Electric field is always perpendicular to an equipotential surface.
Statement2: If there was a component of →E along the surface, that would mean there is a potential change along that component and hence the surface is not equipotential.
Statement1: Electric field is always perpendicular to an equipotential surface.
Statement2: If there was a component of →E along the surface, that would mean there is a potential change along that component and hence the surface is not equipotential.
- Statement 1 is correct, statement 2 is correct and statement 2 is the correct reason for assertive statement 1.
- Statement 1 is correct, statement 2 is correct but statement 2 is not the correct reason for assertive statement 1.
- Statement 1 is correct but statement 2 is incorrect.
- Statement 1 is incorrect and statement 2 is correct.
Q. A hollow cylinder has a charge q C within it placed at the centre. If the electric flux associated with the curved surface B is ϕ, the flux linked with the plane surface A will be
- q2ϵ0
- ϕ3
- qϵ0−ϕ
- 12(qϵ0−ϕ)