Coulomb's Law
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII01:ELECTRIC CHARGES AND FIELDS

358100 A point charge \({Q}\) is fixed at the centre of an insulated disc of mass \({M}\). The disc rests on a rough horizontal plane. Another charge having same value as point charge is fixed vertically above the centre of the disc at a height of \({h}\). After the disc is displaced slightly in the horizontal direction (friction is sufficient to prevent slipping). If the period of oscillation of disc is found to be \({2 \pi \dfrac{h}{Q} \sqrt{n \pi \varepsilon_{0} M h}}\),
supporting img

1 2
2 6
3 8
4 10
PHXII01:ELECTRIC CHARGES AND FIELDS

358101 Two equal point charges each of \(3\mu C\) are separated by a certain distance in metres. If they are located at \((\hat i + \hat j + \hat k)\) and \((2\hat i + 3\hat j + 3\hat k),\) the electrostatic force between them is

1 \(9 \times {10^{ - 2}}N\)
2 \(9 \times {10^{ - 3}}N\)
3 \({10^{ - 3}}N\)
4 \(9 \times {10^3}N\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358102 Two point charges exert on each other a force \(F\) when they are placed \(r\) distnce apart in air. If they are placed \(R\) distance apart in a medium of dielectric constant \(K\), they exert double the force. The distance \(R\) equals

1 \(\frac{r}{{\sqrt {2k} }}\)
2 \(rk\)
3 \(\frac{r}{k}\)
4 \(r\sqrt k \)
PHXII01:ELECTRIC CHARGES AND FIELDS

358103 If point charges \({Q_1} = 2 \times {10^{ - 7}}C\,\,{\text{and }}{Q_2} = 3 \times {10^{ - 7}}C\) are at \(30 \mathrm{~cm}\) separation, then find electrostatic force between them.

1 \(2 \times {10^{ - 3}}\;N\)
2 \(6 \times {10^{ - 3}}\;N\)
3 \(5 \times {10^{ - 3}}\;N\)
4 \(1 \times {10^{ - 3}}\;N\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358100 A point charge \({Q}\) is fixed at the centre of an insulated disc of mass \({M}\). The disc rests on a rough horizontal plane. Another charge having same value as point charge is fixed vertically above the centre of the disc at a height of \({h}\). After the disc is displaced slightly in the horizontal direction (friction is sufficient to prevent slipping). If the period of oscillation of disc is found to be \({2 \pi \dfrac{h}{Q} \sqrt{n \pi \varepsilon_{0} M h}}\),
supporting img

1 2
2 6
3 8
4 10
PHXII01:ELECTRIC CHARGES AND FIELDS

358101 Two equal point charges each of \(3\mu C\) are separated by a certain distance in metres. If they are located at \((\hat i + \hat j + \hat k)\) and \((2\hat i + 3\hat j + 3\hat k),\) the electrostatic force between them is

1 \(9 \times {10^{ - 2}}N\)
2 \(9 \times {10^{ - 3}}N\)
3 \({10^{ - 3}}N\)
4 \(9 \times {10^3}N\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358102 Two point charges exert on each other a force \(F\) when they are placed \(r\) distnce apart in air. If they are placed \(R\) distance apart in a medium of dielectric constant \(K\), they exert double the force. The distance \(R\) equals

1 \(\frac{r}{{\sqrt {2k} }}\)
2 \(rk\)
3 \(\frac{r}{k}\)
4 \(r\sqrt k \)
PHXII01:ELECTRIC CHARGES AND FIELDS

358103 If point charges \({Q_1} = 2 \times {10^{ - 7}}C\,\,{\text{and }}{Q_2} = 3 \times {10^{ - 7}}C\) are at \(30 \mathrm{~cm}\) separation, then find electrostatic force between them.

1 \(2 \times {10^{ - 3}}\;N\)
2 \(6 \times {10^{ - 3}}\;N\)
3 \(5 \times {10^{ - 3}}\;N\)
4 \(1 \times {10^{ - 3}}\;N\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358100 A point charge \({Q}\) is fixed at the centre of an insulated disc of mass \({M}\). The disc rests on a rough horizontal plane. Another charge having same value as point charge is fixed vertically above the centre of the disc at a height of \({h}\). After the disc is displaced slightly in the horizontal direction (friction is sufficient to prevent slipping). If the period of oscillation of disc is found to be \({2 \pi \dfrac{h}{Q} \sqrt{n \pi \varepsilon_{0} M h}}\),
supporting img

1 2
2 6
3 8
4 10
PHXII01:ELECTRIC CHARGES AND FIELDS

358101 Two equal point charges each of \(3\mu C\) are separated by a certain distance in metres. If they are located at \((\hat i + \hat j + \hat k)\) and \((2\hat i + 3\hat j + 3\hat k),\) the electrostatic force between them is

1 \(9 \times {10^{ - 2}}N\)
2 \(9 \times {10^{ - 3}}N\)
3 \({10^{ - 3}}N\)
4 \(9 \times {10^3}N\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358102 Two point charges exert on each other a force \(F\) when they are placed \(r\) distnce apart in air. If they are placed \(R\) distance apart in a medium of dielectric constant \(K\), they exert double the force. The distance \(R\) equals

1 \(\frac{r}{{\sqrt {2k} }}\)
2 \(rk\)
3 \(\frac{r}{k}\)
4 \(r\sqrt k \)
PHXII01:ELECTRIC CHARGES AND FIELDS

358103 If point charges \({Q_1} = 2 \times {10^{ - 7}}C\,\,{\text{and }}{Q_2} = 3 \times {10^{ - 7}}C\) are at \(30 \mathrm{~cm}\) separation, then find electrostatic force between them.

1 \(2 \times {10^{ - 3}}\;N\)
2 \(6 \times {10^{ - 3}}\;N\)
3 \(5 \times {10^{ - 3}}\;N\)
4 \(1 \times {10^{ - 3}}\;N\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358100 A point charge \({Q}\) is fixed at the centre of an insulated disc of mass \({M}\). The disc rests on a rough horizontal plane. Another charge having same value as point charge is fixed vertically above the centre of the disc at a height of \({h}\). After the disc is displaced slightly in the horizontal direction (friction is sufficient to prevent slipping). If the period of oscillation of disc is found to be \({2 \pi \dfrac{h}{Q} \sqrt{n \pi \varepsilon_{0} M h}}\),
supporting img

1 2
2 6
3 8
4 10
PHXII01:ELECTRIC CHARGES AND FIELDS

358101 Two equal point charges each of \(3\mu C\) are separated by a certain distance in metres. If they are located at \((\hat i + \hat j + \hat k)\) and \((2\hat i + 3\hat j + 3\hat k),\) the electrostatic force between them is

1 \(9 \times {10^{ - 2}}N\)
2 \(9 \times {10^{ - 3}}N\)
3 \({10^{ - 3}}N\)
4 \(9 \times {10^3}N\)
PHXII01:ELECTRIC CHARGES AND FIELDS

358102 Two point charges exert on each other a force \(F\) when they are placed \(r\) distnce apart in air. If they are placed \(R\) distance apart in a medium of dielectric constant \(K\), they exert double the force. The distance \(R\) equals

1 \(\frac{r}{{\sqrt {2k} }}\)
2 \(rk\)
3 \(\frac{r}{k}\)
4 \(r\sqrt k \)
PHXII01:ELECTRIC CHARGES AND FIELDS

358103 If point charges \({Q_1} = 2 \times {10^{ - 7}}C\,\,{\text{and }}{Q_2} = 3 \times {10^{ - 7}}C\) are at \(30 \mathrm{~cm}\) separation, then find electrostatic force between them.

1 \(2 \times {10^{ - 3}}\;N\)
2 \(6 \times {10^{ - 3}}\;N\)
3 \(5 \times {10^{ - 3}}\;N\)
4 \(1 \times {10^{ - 3}}\;N\)