Polar molecules are the molecules:

1. | that acquires a dipole moment only when the magnetic field is absent. |

2. | having a permanent electric dipole moment. |

3. | having zero dipole moment. |

4. | that acquire a dipole moment only in the presence of an electric field due to displacement of charges. |

Subtopic: Electric Dipole |

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A dipole is placed in an electric field as shown. In which direction will it move?

1. towards the left as its potential energy will decrease.

2. towards the right as its potential energy will increase.

3. towards the left as its potential energy will increase.

4. towards the right as its potential energy will decrease.

Subtopic: Electric Dipole |

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A spherical conductor of radius 10 cm has a charge of 3.2 x ${10}^{-7}$ C distributed uniformly. What is the magnitude of the electric field at a point 15 cm from the center of the sphere?

$\left(\frac{1}{4\mathrm{\pi}{\in}_{0}}=9\times {10}^{9}\mathrm{N-}{\mathrm{m}}^{2}/{\mathrm{C}}^{2}\right)$

1. 1.28 x ${10}^{5}$ N/C

2. 1.28 x ${10}^{6}$ N/C

3. 1.28 x ${10}^{7}$ N/C

4. 1.28 x ${10}^{4}$ N/C

Subtopic: Electric Field |

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The electric field at a point on the equatorial plane at a distance \(r\) from the centre of a dipole having dipole moment $\overrightarrow{P}$ is given by:

(r >> separation of two charges forming the dipole, \(\epsilon_{0} =\) permittivity of free space)

1. $\overrightarrow{\mathrm{E}}=\frac{\overrightarrow{\mathrm{P}}}{4\mathrm{\pi}{\mathrm{\epsilon}}_{0}{\mathrm{r}}^{3}}$

2. $\overrightarrow{\mathrm{E}}=\frac{2\overrightarrow{\mathrm{P}}}{4\mathrm{\pi}{\mathrm{\epsilon}}_{0}{\mathrm{r}}^{3}}$

3. $\overrightarrow{\mathrm{E}}=-\frac{\overrightarrow{\mathrm{P}}}{4\mathrm{\pi}{\mathrm{\epsilon}}_{0}{\mathrm{r}}^{2}}$

4. $\overrightarrow{\mathrm{E}}=-\frac{\overrightarrow{\mathrm{P}}}{4\mathrm{\pi}{\mathrm{\epsilon}}_{0}{\mathrm{r}}^{3}}$

Subtopic: Electric Dipole |

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The acceleration of an electron due to the mutual attraction between the electron and a proton when they are $1.6\stackrel{o}{A}$ apart is:

$({m}_{e}\simeq 9\times {10}^{-31}kg,e=1.6\times {10}^{-19}C)$

$(Take\frac{1}{4\pi {\epsilon}_{0}}=9\times {10}^{9}N{m}^{2}{C}^{-2})$

1. ${10}^{24}m/{s}^{2}$

2. ${10}^{23}m/{s}^{2}$

3. ${10}^{22}m/{s}^{2}$

4. ${10}^{25}m/{s}^{2}$

Subtopic: Coulomb's Law |

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A hollow metal sphere of radius R is uniformly charged. The electric field due to the sphere at a distance r from the centre:

1. decreases as r increases for r < R and for r > R.

2. increases as r increases for r < R and for r > R.

3. zero as r increases for r < R, decreases as r increases for r > R.

4. zero as r increases for r < R, increases as r increases for r > R.

Subtopic: Electric Field |

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Two point charges A and B, having charges +Q and -Q respectively, are placed at certain distance apart and the force acting between them is F. If 25% charge of A is transferred to B, then the force between the charges becomes:

1. $\frac{4F}{3}$

2. $F$

3. $\frac{9F}{16}$

4. $\frac{16F}{9}$

Subtopic: Coulomb's Law |

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Two parallel infinite line charges with linear charge densities $+\lambda C/mand+\lambda C/m$ are placed at a distance R. The electric field mid-way between the two line charges is:

1. \(\frac{\lambda}{2 \pi \varepsilon_0 \mathrm{R}} ~NC^{-1}\)

2. zero

3. \(\frac{2\lambda}{ \pi \varepsilon_0 \mathrm{R}} ~NC^{-1}\)$\frac{\mathrm{}}{}$

4. \(\frac{\lambda}{ \pi \varepsilon_0 \mathrm{R}} ~NC^{-1}\)

Subtopic: Gauss's Law |

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A sphere encloses an electric dipole with charges $\pm 3\times {10}^{-6}C$. What is the total electric flux through the sphere?

1. -3$\times {10}^{-6}$

2. zero

3. 3$\times {10}^{-6}N{m}^{2}/C$

4. 6$\times {10}^{-6}N{m}^{2}/C$

Subtopic: Gauss's Law |

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An electron falls from rest through a vertical distance h in a uniform and vertically upward-directed electric field E. The direction of the electric field is now reversed, keeping its magnitude the same. A proton is allowed to fall from rest through the same vertical distance h. The fall time of the electron in comparison to the fall time of the proton is:

1. smaller.

2. 5 times greater.

3. 10 times greater.

4. equal.

Subtopic: Electric Field |

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