Coulomb's Law
PHXII01:ELECTRIC CHARGES AND FIELDS

358095 Two identical charged spheres of material density \(\rho \), suspended from the same point by inextensible strings of equal length make an angle \(\theta \) between the strings. When suspended in a liquid of density \(s\) the angle \(\theta \) remains the same. The dielectric constant \(K\) of the liquid is

1 \(\frac{\rho }{{\rho - \sigma }}\)
2 \(\frac{{\rho - \sigma }}{\rho }\)
3 \(\frac{\rho }{{\rho + \sigma }}\)
4 \(\frac{{\rho + \sigma }}{\rho }\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358096 Two point charges \(A\) and \(B\), having charges \( + Q\) and \( - Q\) respectively, are placed at certain distance apart and force acting between them is \(F\). If 25% charge of \(A\) is transferred to \(B\), then force between the charges becomes:

1 \(F\)
2 \(\frac{{9F}}{{16}}\)
3 \(\frac{{16F}}{9}\)
4 \(\frac{{4F}}{3}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358097 An electron of mass '\(m_{e}\)' and a proton of mass ' \(m_{p}\) ' are kept in a uniform electric field. The ratio of the acceleration of electron \(\left(a_{e}\right)\) to the acceleration of proton \(\left(a_{p}\right)\) is

1 infinity
2 \(\dfrac{m_{p}}{m_{e}}\)
3 one
4 \(\dfrac{m_{e}}{m_{p}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358098 Two charges each of \( 1\,\mu C\) are at \(P(2 \hat{i}+3 \hat{j}+\hat{k}) m\) and \(Q(\hat{i}+\hat{j}-\hat{k}) m\). Then the force between them is

1 \(100\,N\)
2 \(10\,N\)
3 \({10^4}\,dyne\)
4 \(100\,dyne\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358099 Two point charges are 3 \(m\) apart and their combined charge is \(8\;\mu C\).The force of repulsion between them is \(0.012\,N\), Charges are

1 \(6\;\mu C,{\rm{ }}2\;\mu C\)
2 \(4\;\mu C,{\rm{ }}4\;\mu C\)
3 \(7\;\mu C,{\rm{ }}1\;\mu C\)
4 \(5\;\mu C,{\rm{ }}3\;\mu C\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358095 Two identical charged spheres of material density \(\rho \), suspended from the same point by inextensible strings of equal length make an angle \(\theta \) between the strings. When suspended in a liquid of density \(s\) the angle \(\theta \) remains the same. The dielectric constant \(K\) of the liquid is

1 \(\frac{\rho }{{\rho - \sigma }}\)
2 \(\frac{{\rho - \sigma }}{\rho }\)
3 \(\frac{\rho }{{\rho + \sigma }}\)
4 \(\frac{{\rho + \sigma }}{\rho }\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358096 Two point charges \(A\) and \(B\), having charges \( + Q\) and \( - Q\) respectively, are placed at certain distance apart and force acting between them is \(F\). If 25% charge of \(A\) is transferred to \(B\), then force between the charges becomes:

1 \(F\)
2 \(\frac{{9F}}{{16}}\)
3 \(\frac{{16F}}{9}\)
4 \(\frac{{4F}}{3}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358097 An electron of mass '\(m_{e}\)' and a proton of mass ' \(m_{p}\) ' are kept in a uniform electric field. The ratio of the acceleration of electron \(\left(a_{e}\right)\) to the acceleration of proton \(\left(a_{p}\right)\) is

1 infinity
2 \(\dfrac{m_{p}}{m_{e}}\)
3 one
4 \(\dfrac{m_{e}}{m_{p}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358098 Two charges each of \( 1\,\mu C\) are at \(P(2 \hat{i}+3 \hat{j}+\hat{k}) m\) and \(Q(\hat{i}+\hat{j}-\hat{k}) m\). Then the force between them is

1 \(100\,N\)
2 \(10\,N\)
3 \({10^4}\,dyne\)
4 \(100\,dyne\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358099 Two point charges are 3 \(m\) apart and their combined charge is \(8\;\mu C\).The force of repulsion between them is \(0.012\,N\), Charges are

1 \(6\;\mu C,{\rm{ }}2\;\mu C\)
2 \(4\;\mu C,{\rm{ }}4\;\mu C\)
3 \(7\;\mu C,{\rm{ }}1\;\mu C\)
4 \(5\;\mu C,{\rm{ }}3\;\mu C\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358095 Two identical charged spheres of material density \(\rho \), suspended from the same point by inextensible strings of equal length make an angle \(\theta \) between the strings. When suspended in a liquid of density \(s\) the angle \(\theta \) remains the same. The dielectric constant \(K\) of the liquid is

1 \(\frac{\rho }{{\rho - \sigma }}\)
2 \(\frac{{\rho - \sigma }}{\rho }\)
3 \(\frac{\rho }{{\rho + \sigma }}\)
4 \(\frac{{\rho + \sigma }}{\rho }\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358096 Two point charges \(A\) and \(B\), having charges \( + Q\) and \( - Q\) respectively, are placed at certain distance apart and force acting between them is \(F\). If 25% charge of \(A\) is transferred to \(B\), then force between the charges becomes:

1 \(F\)
2 \(\frac{{9F}}{{16}}\)
3 \(\frac{{16F}}{9}\)
4 \(\frac{{4F}}{3}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358097 An electron of mass '\(m_{e}\)' and a proton of mass ' \(m_{p}\) ' are kept in a uniform electric field. The ratio of the acceleration of electron \(\left(a_{e}\right)\) to the acceleration of proton \(\left(a_{p}\right)\) is

1 infinity
2 \(\dfrac{m_{p}}{m_{e}}\)
3 one
4 \(\dfrac{m_{e}}{m_{p}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358098 Two charges each of \( 1\,\mu C\) are at \(P(2 \hat{i}+3 \hat{j}+\hat{k}) m\) and \(Q(\hat{i}+\hat{j}-\hat{k}) m\). Then the force between them is

1 \(100\,N\)
2 \(10\,N\)
3 \({10^4}\,dyne\)
4 \(100\,dyne\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358099 Two point charges are 3 \(m\) apart and their combined charge is \(8\;\mu C\).The force of repulsion between them is \(0.012\,N\), Charges are

1 \(6\;\mu C,{\rm{ }}2\;\mu C\)
2 \(4\;\mu C,{\rm{ }}4\;\mu C\)
3 \(7\;\mu C,{\rm{ }}1\;\mu C\)
4 \(5\;\mu C,{\rm{ }}3\;\mu C\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358095 Two identical charged spheres of material density \(\rho \), suspended from the same point by inextensible strings of equal length make an angle \(\theta \) between the strings. When suspended in a liquid of density \(s\) the angle \(\theta \) remains the same. The dielectric constant \(K\) of the liquid is

1 \(\frac{\rho }{{\rho - \sigma }}\)
2 \(\frac{{\rho - \sigma }}{\rho }\)
3 \(\frac{\rho }{{\rho + \sigma }}\)
4 \(\frac{{\rho + \sigma }}{\rho }\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358096 Two point charges \(A\) and \(B\), having charges \( + Q\) and \( - Q\) respectively, are placed at certain distance apart and force acting between them is \(F\). If 25% charge of \(A\) is transferred to \(B\), then force between the charges becomes:

1 \(F\)
2 \(\frac{{9F}}{{16}}\)
3 \(\frac{{16F}}{9}\)
4 \(\frac{{4F}}{3}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358097 An electron of mass '\(m_{e}\)' and a proton of mass ' \(m_{p}\) ' are kept in a uniform electric field. The ratio of the acceleration of electron \(\left(a_{e}\right)\) to the acceleration of proton \(\left(a_{p}\right)\) is

1 infinity
2 \(\dfrac{m_{p}}{m_{e}}\)
3 one
4 \(\dfrac{m_{e}}{m_{p}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358098 Two charges each of \( 1\,\mu C\) are at \(P(2 \hat{i}+3 \hat{j}+\hat{k}) m\) and \(Q(\hat{i}+\hat{j}-\hat{k}) m\). Then the force between them is

1 \(100\,N\)
2 \(10\,N\)
3 \({10^4}\,dyne\)
4 \(100\,dyne\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358099 Two point charges are 3 \(m\) apart and their combined charge is \(8\;\mu C\).The force of repulsion between them is \(0.012\,N\), Charges are

1 \(6\;\mu C,{\rm{ }}2\;\mu C\)
2 \(4\;\mu C,{\rm{ }}4\;\mu C\)
3 \(7\;\mu C,{\rm{ }}1\;\mu C\)
4 \(5\;\mu C,{\rm{ }}3\;\mu C\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358095 Two identical charged spheres of material density \(\rho \), suspended from the same point by inextensible strings of equal length make an angle \(\theta \) between the strings. When suspended in a liquid of density \(s\) the angle \(\theta \) remains the same. The dielectric constant \(K\) of the liquid is

1 \(\frac{\rho }{{\rho - \sigma }}\)
2 \(\frac{{\rho - \sigma }}{\rho }\)
3 \(\frac{\rho }{{\rho + \sigma }}\)
4 \(\frac{{\rho + \sigma }}{\rho }\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358096 Two point charges \(A\) and \(B\), having charges \( + Q\) and \( - Q\) respectively, are placed at certain distance apart and force acting between them is \(F\). If 25% charge of \(A\) is transferred to \(B\), then force between the charges becomes:

1 \(F\)
2 \(\frac{{9F}}{{16}}\)
3 \(\frac{{16F}}{9}\)
4 \(\frac{{4F}}{3}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358097 An electron of mass '\(m_{e}\)' and a proton of mass ' \(m_{p}\) ' are kept in a uniform electric field. The ratio of the acceleration of electron \(\left(a_{e}\right)\) to the acceleration of proton \(\left(a_{p}\right)\) is

1 infinity
2 \(\dfrac{m_{p}}{m_{e}}\)
3 one
4 \(\dfrac{m_{e}}{m_{p}}\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358098 Two charges each of \( 1\,\mu C\) are at \(P(2 \hat{i}+3 \hat{j}+\hat{k}) m\) and \(Q(\hat{i}+\hat{j}-\hat{k}) m\). Then the force between them is

1 \(100\,N\)
2 \(10\,N\)
3 \({10^4}\,dyne\)
4 \(100\,dyne\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358099 Two point charges are 3 \(m\) apart and their combined charge is \(8\;\mu C\).The force of repulsion between them is \(0.012\,N\), Charges are

1 \(6\;\mu C,{\rm{ }}2\;\mu C\)
2 \(4\;\mu C,{\rm{ }}4\;\mu C\)
3 \(7\;\mu C,{\rm{ }}1\;\mu C\)
4 \(5\;\mu C,{\rm{ }}3\;\mu C\)