02. COULOMB'S LAW
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Electric Charges and Fields

272138 Two positive ions, each carrying a charge $q$, are separated by a distance $d$. If $F$ is the force of repulsion between the ions, the number of electrons missing from each ion will be ( $e$ being the charge of an electron)

1 $\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{e}^{2}}}$
2 $\sqrt{\frac{4\pi {{\varepsilon }_{0}}F{{e}^{2}}}{{{d}^{2}}}}$
3 $\sqrt{\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{e}^{2}}}}$
4 $\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{q}^{2}}}$
NCERT Page-12 / N-7
Electric Charges and Fields

272139 The electric charge required to expand a soap bubble to twice its dimension is

1 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{3}}\left( 7Pr+12~T \right)}$
2 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{2}}\left( 7Pr+12~T \right)}$
3 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{3}}\left( 6Pr+12~T \right)}$
4 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{3}}\left( Pr+T \right)}$
NCERT Page-12 / N-7
Electric Charges and Fields

272140 Two balls of same mass and carrying equal charge are hung from a fixed support of length $l$. At electrostatic equilibrium, assuming that angles made by each thread is small, the separation, $x$ between the balls is proportional to :

1 $l$
2 ${{l}^{2}}$
3 ${{l}^{2/3}}$
4 ${{l}^{1/3}}$
NCERT Page-12 / N-7
Electric Charges and Fields

272141 Two pith balls carrying equal charges are suspended from a common point by strings of equal length. The equilibrium separation between them is $r$. Now the strings are rigidly clamped at half the height. The equilibrium separation between the balls now become

1 $\left( \frac{r}{\sqrt[3]{2}} \right)$
2 $\left( \frac{2r}{\sqrt{3}} \right)$
3 $\left( \frac{2r}{3} \right)$
4 ${{\left( \frac{r}{\sqrt{2}} \right)}^{2}}$
NCERT Page- 12 / N-7
Electric Charges and Fields

272142 Two equal point charges each of $3\mu C$ are separated by a certain distance in metres. If they are located at $\left( i+j+k \right)$ and $\left( 2i+3j+k \right)$, then the electrostatic force between them is

1 $9\times {{10}^{3}}~N$
2 $16\times {{10}^{-3}}~N$
3 ${{10}^{-3}}~N$
4 $9\times {{10}^{-2}}~N$
NCERT Page-12 / N-8
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Electric Charges and Fields

272138 Two positive ions, each carrying a charge $q$, are separated by a distance $d$. If $F$ is the force of repulsion between the ions, the number of electrons missing from each ion will be ( $e$ being the charge of an electron)

1 $\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{e}^{2}}}$
2 $\sqrt{\frac{4\pi {{\varepsilon }_{0}}F{{e}^{2}}}{{{d}^{2}}}}$
3 $\sqrt{\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{e}^{2}}}}$
4 $\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{q}^{2}}}$
NCERT Page-12 / N-7
Electric Charges and Fields

272139 The electric charge required to expand a soap bubble to twice its dimension is

1 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{3}}\left( 7Pr+12~T \right)}$
2 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{2}}\left( 7Pr+12~T \right)}$
3 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{3}}\left( 6Pr+12~T \right)}$
4 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{3}}\left( Pr+T \right)}$
NCERT Page-12 / N-7
Electric Charges and Fields

272140 Two balls of same mass and carrying equal charge are hung from a fixed support of length $l$. At electrostatic equilibrium, assuming that angles made by each thread is small, the separation, $x$ between the balls is proportional to :

1 $l$
2 ${{l}^{2}}$
3 ${{l}^{2/3}}$
4 ${{l}^{1/3}}$
NCERT Page-12 / N-7
Electric Charges and Fields

272141 Two pith balls carrying equal charges are suspended from a common point by strings of equal length. The equilibrium separation between them is $r$. Now the strings are rigidly clamped at half the height. The equilibrium separation between the balls now become

1 $\left( \frac{r}{\sqrt[3]{2}} \right)$
2 $\left( \frac{2r}{\sqrt{3}} \right)$
3 $\left( \frac{2r}{3} \right)$
4 ${{\left( \frac{r}{\sqrt{2}} \right)}^{2}}$
NCERT Page- 12 / N-7
Electric Charges and Fields

272142 Two equal point charges each of $3\mu C$ are separated by a certain distance in metres. If they are located at $\left( i+j+k \right)$ and $\left( 2i+3j+k \right)$, then the electrostatic force between them is

1 $9\times {{10}^{3}}~N$
2 $16\times {{10}^{-3}}~N$
3 ${{10}^{-3}}~N$
4 $9\times {{10}^{-2}}~N$
NCERT Page-12 / N-8
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NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Electric Charges and Fields

272138 Two positive ions, each carrying a charge $q$, are separated by a distance $d$. If $F$ is the force of repulsion between the ions, the number of electrons missing from each ion will be ( $e$ being the charge of an electron)

1 $\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{e}^{2}}}$
2 $\sqrt{\frac{4\pi {{\varepsilon }_{0}}F{{e}^{2}}}{{{d}^{2}}}}$
3 $\sqrt{\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{e}^{2}}}}$
4 $\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{q}^{2}}}$
NCERT Page-12 / N-7
Electric Charges and Fields

272139 The electric charge required to expand a soap bubble to twice its dimension is

1 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{3}}\left( 7Pr+12~T \right)}$
2 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{2}}\left( 7Pr+12~T \right)}$
3 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{3}}\left( 6Pr+12~T \right)}$
4 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{3}}\left( Pr+T \right)}$
NCERT Page-12 / N-7
Electric Charges and Fields

272140 Two balls of same mass and carrying equal charge are hung from a fixed support of length $l$. At electrostatic equilibrium, assuming that angles made by each thread is small, the separation, $x$ between the balls is proportional to :

1 $l$
2 ${{l}^{2}}$
3 ${{l}^{2/3}}$
4 ${{l}^{1/3}}$
NCERT Page-12 / N-7
Electric Charges and Fields

272141 Two pith balls carrying equal charges are suspended from a common point by strings of equal length. The equilibrium separation between them is $r$. Now the strings are rigidly clamped at half the height. The equilibrium separation between the balls now become

1 $\left( \frac{r}{\sqrt[3]{2}} \right)$
2 $\left( \frac{2r}{\sqrt{3}} \right)$
3 $\left( \frac{2r}{3} \right)$
4 ${{\left( \frac{r}{\sqrt{2}} \right)}^{2}}$
NCERT Page- 12 / N-7
Electric Charges and Fields

272142 Two equal point charges each of $3\mu C$ are separated by a certain distance in metres. If they are located at $\left( i+j+k \right)$ and $\left( 2i+3j+k \right)$, then the electrostatic force between them is

1 $9\times {{10}^{3}}~N$
2 $16\times {{10}^{-3}}~N$
3 ${{10}^{-3}}~N$
4 $9\times {{10}^{-2}}~N$
NCERT Page-12 / N-8
NEET DIGITAL LIBRARY
Electric Charges and Fields

272138 Two positive ions, each carrying a charge $q$, are separated by a distance $d$. If $F$ is the force of repulsion between the ions, the number of electrons missing from each ion will be ( $e$ being the charge of an electron)

1 $\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{e}^{2}}}$
2 $\sqrt{\frac{4\pi {{\varepsilon }_{0}}F{{e}^{2}}}{{{d}^{2}}}}$
3 $\sqrt{\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{e}^{2}}}}$
4 $\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{q}^{2}}}$
NCERT Page-12 / N-7
Electric Charges and Fields

272139 The electric charge required to expand a soap bubble to twice its dimension is

1 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{3}}\left( 7Pr+12~T \right)}$
2 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{2}}\left( 7Pr+12~T \right)}$
3 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{3}}\left( 6Pr+12~T \right)}$
4 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{3}}\left( Pr+T \right)}$
NCERT Page-12 / N-7
Electric Charges and Fields

272140 Two balls of same mass and carrying equal charge are hung from a fixed support of length $l$. At electrostatic equilibrium, assuming that angles made by each thread is small, the separation, $x$ between the balls is proportional to :

1 $l$
2 ${{l}^{2}}$
3 ${{l}^{2/3}}$
4 ${{l}^{1/3}}$
NCERT Page-12 / N-7
Electric Charges and Fields

272141 Two pith balls carrying equal charges are suspended from a common point by strings of equal length. The equilibrium separation between them is $r$. Now the strings are rigidly clamped at half the height. The equilibrium separation between the balls now become

1 $\left( \frac{r}{\sqrt[3]{2}} \right)$
2 $\left( \frac{2r}{\sqrt{3}} \right)$
3 $\left( \frac{2r}{3} \right)$
4 ${{\left( \frac{r}{\sqrt{2}} \right)}^{2}}$
NCERT Page- 12 / N-7
Electric Charges and Fields

272142 Two equal point charges each of $3\mu C$ are separated by a certain distance in metres. If they are located at $\left( i+j+k \right)$ and $\left( 2i+3j+k \right)$, then the electrostatic force between them is

1 $9\times {{10}^{3}}~N$
2 $16\times {{10}^{-3}}~N$
3 ${{10}^{-3}}~N$
4 $9\times {{10}^{-2}}~N$
NCERT Page-12 / N-8
Join With Us for More Updates
Electric Charges and Fields

272138 Two positive ions, each carrying a charge $q$, are separated by a distance $d$. If $F$ is the force of repulsion between the ions, the number of electrons missing from each ion will be ( $e$ being the charge of an electron)

1 $\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{e}^{2}}}$
2 $\sqrt{\frac{4\pi {{\varepsilon }_{0}}F{{e}^{2}}}{{{d}^{2}}}}$
3 $\sqrt{\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{e}^{2}}}}$
4 $\frac{4\pi {{\varepsilon }_{0}}F{{d}^{2}}}{{{q}^{2}}}$
NCERT Page-12 / N-7
Electric Charges and Fields

272139 The electric charge required to expand a soap bubble to twice its dimension is

1 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{3}}\left( 7Pr+12~T \right)}$
2 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{2}}\left( 7Pr+12~T \right)}$
3 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{3}}\left( 6Pr+12~T \right)}$
4 $8\pi \sqrt{{{\epsilon }_{0}}{{r}^{3}}\left( Pr+T \right)}$
NCERT Page-12 / N-7
Electric Charges and Fields

272140 Two balls of same mass and carrying equal charge are hung from a fixed support of length $l$. At electrostatic equilibrium, assuming that angles made by each thread is small, the separation, $x$ between the balls is proportional to :

1 $l$
2 ${{l}^{2}}$
3 ${{l}^{2/3}}$
4 ${{l}^{1/3}}$
NCERT Page-12 / N-7
Electric Charges and Fields

272141 Two pith balls carrying equal charges are suspended from a common point by strings of equal length. The equilibrium separation between them is $r$. Now the strings are rigidly clamped at half the height. The equilibrium separation between the balls now become

1 $\left( \frac{r}{\sqrt[3]{2}} \right)$
2 $\left( \frac{2r}{\sqrt{3}} \right)$
3 $\left( \frac{2r}{3} \right)$
4 ${{\left( \frac{r}{\sqrt{2}} \right)}^{2}}$
NCERT Page- 12 / N-7
Electric Charges and Fields

272142 Two equal point charges each of $3\mu C$ are separated by a certain distance in metres. If they are located at $\left( i+j+k \right)$ and $\left( 2i+3j+k \right)$, then the electrostatic force between them is

1 $9\times {{10}^{3}}~N$
2 $16\times {{10}^{-3}}~N$
3 ${{10}^{-3}}~N$
4 $9\times {{10}^{-2}}~N$
NCERT Page-12 / N-8