The dielectric constant of pure water is 81. Its permittivity will be

(1) 7.17 × 10^{–10} *MKS* units

(2) 8.86 × 10^{–12} *MKS* units

(3) 1.02 × 10^{13} *MKS* units

(4) Cannot be calculated

PMT - 1984

Concept Questions :-

Coulomb's law

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Force of attraction between two point charges *Q* and – *Q* separated by *d* *meter* is *F _{e}*. When these charges are placed on two identical spheres of radius

(1) Greater than *F _{e}*

(2) Equal to *F _{e}*

(3) Less than *F _{e}*

(4) Less than *F _{e}*

AIIMS - 1995

Concept Questions :-

Coulomb's law

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One metallic sphere *A* is given positive charge whereas another identical metallic sphere *B* of exactly same mass as of *A *is given equal amount of negative charge. Then

(1) Mass of *A* and mass of *B* is the same

(2) Mass of *A* is more

(3) Mass of *B* is less

(4) Mass of *B* is more

PMT - 2000

Concept Questions :-

Ways of charging

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The force between two charges 0.06 *m* apart is 5 *N*. If each charge is moved towards the other by 0.01 *m*, then the force between them will become** **

(1) 7.20 *N*

(2) 11.25 *N*

(3) 22.50 *N*

(4) 45.00 *N*

Concept Questions :-

Coulomb's law

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When 10^{19} electrons are removed from a neutral metal plate, the electric charge on it is

(1) –1.6 *C*

(2) +1.6 *C*

(3) 10^{+19} *C*

(4) 10^{–19} *C*

Concept Questions :-

Ways of charging

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Two charges each equal to 2μ*C* are 0.5*m* apart. If both of them exist inside vacuum, then the force between them is

(1) 1.89 *N*

(2) 2.44 *N*

(3) 0.144 *N*

(4) 3.144 *N*

PMT - 2001

Concept Questions :-

Coulomb's law

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A solid conducting sphere of radius *a* has a net positive charge 2*Q*. A conducting spherical shell of inner radius *b* and outer radius *c* is concentric with the solid sphere and has a net charge –*Q*. The surface charge density on the inner and outer surfaces of the spherical shell will be

(1) $-\frac{2Q}{4\pi {b}^{2}},\frac{Q}{4\pi {c}^{2}}$

(2) $-\frac{Q}{4\pi {b}^{2}},\frac{Q}{4\pi {c}^{2}}$

(3) $0,\frac{Q}{4\pi {c}^{2}}$

(4) None of the above

Concept Questions :-

Gauss law

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Three charges are placed at the vertices of an equilateral triangle of side ‘*a*’ as shown in the following figure. The force experienced by the charge placed at the vertex *A* in a direction normal to *BC* is

(1) ${Q}^{2}/\left(4\pi {\epsilon}_{0}{a}^{2}\right)$

(2) $-{Q}^{2}/\left(4\pi {\epsilon}_{0}{a}^{2}\right)$

(3) Zero

(4) ${Q}^{2}/\left(2\pi {\epsilon}_{0}{a}^{2}\right)$

AIIMS - 2003

Concept Questions :-

Coulomb's law

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Two particles of equal mass *m* and charge *q* are placed at a distance of 16 *cm*. They do not experience any force. The value of $\frac{q}{m}$ is

(1) *l*

(2) $\sqrt{\frac{\pi {\epsilon}_{0}}{G}}$

(3) $\sqrt{\frac{G}{4\pi {\epsilon}_{0}}}$

(4) $\sqrt{4\pi {\epsilon}_{0}G}$

Concept Questions :-

Coulomb's law

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An electron is moving around the nucleus of a hydrogen atom in a circular orbit of radius *r*. The Coulomb force $\overrightarrow{F}$ on electron is (Where $K=\frac{1}{4\pi {\epsilon}_{0}}$)** **

(1) $-K\frac{{e}^{2}}{{r}^{3}}\hat{r}$

(2) $K\frac{{e}^{2}}{{r}^{3}}\overrightarrow{r}$

(3) $-K\frac{{e}^{2}}{{r}^{3}}\overrightarrow{r}$

(4) $K\frac{{e}^{2}}{{r}^{2}}\hat{r}$

PMT - 2003

Concept Questions :-

Coulomb's law

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Difficulty Level: