Electric Charges and Fields Questions and Answers Part-9

1.A uniform electric field having a magnitude \[E_{0}\]  and direction along the positive x- axis exists. If the potential V is zero at \[x=0\]  , then its value at \[X=+x\]   will be
a) \[v_{\left(x\right)}=+xE_{0}\]
b) \[v_{x}=-xE_{0}\]
c) \[v_{x}=+x^{2}E_{0}\]
d) \[v_{x}=-x^{2}E_{0}\]

Answer: b
Explanation:
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2.Three charges \[2q,-q,-q\]    are located at the vertices of an equilateral triangle. At the centre of the triangle
a) The field is zero but potential is non-zero
b) The field is non-zero but potential is zero
c) Both field and potential are zero
d) Both field and potential are non-zero

Answer: b
Explanation:
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3.Figure shows the electric lines of force emerging from a charged body. If the electric field at A and B are \[E_{A}\] and \[E_{B}\] respectively and if the displacement between A and B is r then
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a) \[E_{A}>E_{B}\]
b) \[E_{A}< E_{B}\]
c) \[E_{A}=\frac{E_{B}}{r}\]
d) \[E_{A}=\frac{E_{B}}{r^{2}}\]

Answer: a
Explanation: In non-uniform electric field. Intensity is more, where the lines are more denser.

4. ABC is an equilateral triangle. Charges +q are placed at each corner. The electric intensity at O will be
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a) \[\frac{1}{4\pi\epsilon_{0}}\frac{q}{r^{2}}\]
b) \[\frac{1}{4\pi\epsilon_{0}}\frac{q}{r}\]
c) zero
d) \[\frac{1}{4\pi\epsilon_{0}}\frac{3q}{r^{2}}\]

Answer: c
Explanation:
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5. In the electric field of a point charge q , a certain charge is carried from point A to B , C , D and E . Then the work done
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a) Is least along the path AB
b) Is least along the path AD
c) Is zero along all the paths AB, AC, AD and AE
d) Is least along AE

Answer: c
Explanation: ABCDE is an equipotential surface, on equipotential surface no work is done in shifting a charge from one place to another.

6. The magnitude of electric field intensity E is such that, an electron placed in it would experience an electrical force equal to its weight is given by
a) mge
b) \[\frac{mg}{e}\]
c) \[\frac{e}{mg}\]
d) \[\frac{e^{2}}{m^{2}}g\]

Answer: b
Explanation:
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7. A conductor with a positive charge
a) Is always at +ve potential
b) Is always at zero potential
c) Is always at negative potential
d) May be at +ve , zero or -ve potential

Answer: d
Explanation: May be at positive, zero or negative potential, it is according to the way one defines the zero potential

8. An electron and a proton are in a uniform electric field, the ratio of their accelerations will be
a) zero
b) Unity
c) The ratio of the masses of proton and electron
d) The ratio of the masses of electron and proton

Answer: c
Explanation:
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9.Two parallel plates have equal and opposite charge. When the space between them is evacuated, the electric field between the plates is \[2\times 10^{5}V/m\]     . When the space is filled with dielectric, the electric field becomes \[1\times 10^{5}V/m\]     . The dielectric constant of the dielectric material
a) 1/2
b) 1
c) 2
d) 3

Answer: c
Explanation:
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10. The insulation property of air breaks down at \[E=3\times 10^{6}\]    volt/metre. The maximum charge that can be given to a sphere of diameter 5m is approximately (in coulombs)
a) \[2\times 10^{-2}\]
b) \[2\times 10^{-3}\]
c) \[2\times 10^{-4}\]
d) \[2\times 10^{-5}\]

Answer: b
Explanation:
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