The electric field at a point due to an electric dipole, on an axis inclined at an angle \(\large \theta \) (< 90\(\large ^{0}\)) to the dipole axis, is perpendicular to the dipole axis, if the angle \(\large \theta \) is ……….
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Tan\(\large ^{-1}\left ( \frac{1}{2} \right )\)
Tan\(\large ^{-1}\left ( \sqrt{2} \right )\)
Tan\(\large ^{-1}\left ( \frac{1}{\sqrt{2}} \right )\)
Tan\(\large ^{-1}\left ( {2} \right )\)
In the given network, the value of C, so that an equivalent capacitance between A and B is 3\(\large \mu \)F, is …………
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\(\large \frac{31}{5}\mu \) F
48 \(\large \mu \) F
36 \(\large \mu \) F
\(\large \frac{1}{5}\mu \) F
In the uniform electric field of E = 1 x 10\(\large ^{4}\) NC\(\large ^{-1}\), an electron is accelerated from rest. The velocity of the electron when it has travelled a distance of 2 x 10\(\large ^{-2}\) m is nearly ________ ms\(\large ^{-1}\) (\(\large \frac{e}{m}\) of electron ≈ 1.8 x 10\(\large ^{11}\) C kg\(\large ^{-1}\))
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1.6 x 10\(\large ^{6}\)
0.425 x 10\(\large ^{6}\)
8.5 x 10\(\large ^{6}\)
0.85 x 10\(\large ^{6}\)
Acceleration of a charged particle of charge ‘q’ and mass ‘m’ moving in a uniform electric field of strength ‘E’ is
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\(\large \frac{q}{mE}\)
\(\large mpE \)
\(\large \frac{m}{qE}\)
\(\large \frac{qE}{m}\)
Two fixed charges A and B of 5 μ C each are separated by a distance of 6 m. C is the mid point of the line joining A and B. A charge ‘Q’ of -5 μ C is shot perpendicular to the line joining A and B through C with a kinetic energy of 0.06 J. The charge ‘Q’ comes to rest at a point D. The distance CD is
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\(\large \sqrt{3}\:\: m\)
\(\large 3\: m\)
\(\large 4 m\)
\(\large 3\sqrt{3}\:\: m\)
A capacitor of capacitance 10 μ F is charged to 10 V. The energy stored in it is
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500 μ J
100 μ J
1 μ J
1000 μ J
A small oil drop of mass 10\(\large ^{-6}\) kg is hanging in at rest between two plates separated by 1 mm having a potential difference of 500 V. The charge on the drop is ________ (g = 10 ms\(\large ^{-2}\))
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2 × 10\(\large ^{-9}\) C
2 × 10\(\large ^{-11}\) C
2 × 10\(\large ^{-6}\) C
2 × 10\(\large ^{-8}\) C
A uniform electric field in the plane of the paper as shown. Here A, B, C, D are the points on the circle. V\(\large _{1}\), V\(\large _{2}\), V\(\large _{3}\), V\(\large _{4}\) are the potentials at those points respectively. Then
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V\(\large _{A}\) = V\(\large _{C}\), V\(\large _{B}\) = V\(\large _{D}\)
V\(\large _{A}\) = V\(\large _{C}\), V\(\large _{B}\) > V\(\large _{D}\)
V\(\large _{A}\) > V\(\large _{C}\), V\(\large _{B}\) > V\(\large _{D}\)
V\(\large _{A}\) = V\(\large _{B}\), V\(\large _{C}\) = V\(\large _{D}\)
Non of the above
Two metal spheres of radii 0.01 m and 0.02 m are given a charge of 15 mC and 45 mC respectively. They are then connected by a wire. The final charge on the first sphere is
______ × 10\(\large ^{-3}\) C
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40
30
20
10
When an additional charge of 2C is given to a capacitor, energy stored in it is increased by 21%. The original charge of the capacitor is
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30 C
40 C
10 C
20 C
When a potential difference of 10\(\large ^{3}\) V is applied between A and B, a charge of 0.75 mC is stored in the system of capacitors as shown. The value of C is (in μF)
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\(\large \frac{1}{2}\)
2
2.5
3
See the diagram. Area of each plate is 2.0 m\(\large ^{2}\) and d = 2 × 10\(\large ^{-3}\) m. A charge of 8.85 × 10\(\large ^{-8}\) C is given to Q. Then the potential of Q becomes
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13 V
10 V
6.67 V
8.825 V
Which of the following is not made by quarks?
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Neutron
Positron
Proton
π-meson
If a charge on the body is 1 nC, then how many electrons are present on the body?
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\(\large 1.6\times 10^{19}\)
\(\large 6.25\times 10^{9}\)
\(\large 6.25\times 10^{27}\)
\(\large 6.25\times 10^{28}\)
Two equal and opposite charges of masses \(\large m_{1} and \) \(\large m_{2}\) are accelerated in an uniform electric field through the same distance. What is the ratio of their accelerations if their ratio of masses is \(\large \frac{m_{1}}{m_{2}}\) = 0.5?
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\(\large \frac{a_{1}}{a_{2}}\) = 0.5
\(\large \frac{a_{1}}{a_{2}}\) = 1
\(\large \frac{a_{1}}{a_{2}}\) = 2
\(\large \frac{a_{1}}{a_{2}}\) = 3
What is the electric potential at a distance of 9 cm from 3 nC?
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270 V
3 V
300 V
30 V
A voltmeter reads 4V when connected to a parallel plate capacitor with air as a dielectric. When a dielectric slab is introduced between plates for the same configuration, voltmeter reads 2V. What is the dielectric constant of the material?
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0.5
2
8
10
A spherical conductor of radius 2 cm is uniformly charged with 3 nC. What is the electric field at a distance of 3 cm from the centre of the sphere?
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\(\large 3\times 20^{6} V\) \(\large m^{-1}\)
3 V \(\large m^{-1}\)
\(\large 3\times 10^{4} V\) \(\large m^{-1}\)
\(\large 3\times 10^{-4} V\) \(\large m^{-1}\)
Two capacitors of 10 PF and 20 PF are connected to 200 V and 100 V sources respectively.
If they are connected by the wire, what is the common potential of the capacitors?
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133.3 volt
150 volt
300 volt
400 volt