03. ELECTRIC FIELD
Electric Charges and Fields

267855 A uniformly charged thin spherical shell of radius\(R\) carries uniform surface charge density of \(\sigma\) per unit area. It is made of two hemispherical shells, held together by pressing them with forceF.F is proportional to

1 \(\frac{1}{\varepsilon_{0}} \sigma^{2} R^{2}\)
2 \(\frac{1}{\varepsilon_{0}} \sigma^{2} R\)
3 \(\frac{1}{\varepsilon_{0}} \frac{\sigma^{2}}{R}\)
4 \(\frac{1}{\varepsilon_{0}} \frac{\sigma^{2}}{R^{2}}\)
Electric Charges and Fields

267870 An electron (mass\(=9.1 \times 10^{-31} \mathrm{~kg}\) ) is sent into an electric field of intensity \(9.1 \times 10^{6}\) newton/coulomb. The acceleration produced is

1 \(1.6 \times 10^{18} \mathrm{~m} / \mathrm{s}^{2}\)
2 \(1.6 \times 10^{6} \mathrm{~m} / \mathrm{s}^{2}\)
3 \(1.6 \times 10^{-18} \mathrm{~m} / \mathrm{s}^{2}\)
4 \(1.6 \times 10^{-6} \mathrm{~m} / \mathrm{s}^{2}\)
Electric Charges and Fields

267871 Theelectric field at \((30,30) \mathrm{cm}\) dueto a charge of \(-8 \mathrm{nC}\) at the origin in \(\mathrm{NC}^{-1}\) is

1 \(-400(\bar{i}+\bar{j})\)
2 \(400(\bar{i}+\bar{j})\)
3 \(-200 \sqrt{2}(\bar{i}+\bar{j})\)
4 \(200 \sqrt{2}(\bar{i}+\bar{j})\)
Electric Charges and Fields

267872 Two charges of\(10 \mu \mathrm{C}\) and \(-90 \mu \mathrm{C}\) are separated by a distance of \(24 \mathrm{~cm}\). E lectrostatic field strength from the smaller charge is zero at a distance of

1 \(12 \mathrm{~cm}\)
2 \(24 \mathrm{~cm}\)
3 \(36 \mathrm{~cm}\)
4 \(48 \mathrm{~cm}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Electric Charges and Fields

267855 A uniformly charged thin spherical shell of radius\(R\) carries uniform surface charge density of \(\sigma\) per unit area. It is made of two hemispherical shells, held together by pressing them with forceF.F is proportional to

1 \(\frac{1}{\varepsilon_{0}} \sigma^{2} R^{2}\)
2 \(\frac{1}{\varepsilon_{0}} \sigma^{2} R\)
3 \(\frac{1}{\varepsilon_{0}} \frac{\sigma^{2}}{R}\)
4 \(\frac{1}{\varepsilon_{0}} \frac{\sigma^{2}}{R^{2}}\)
Electric Charges and Fields

267870 An electron (mass\(=9.1 \times 10^{-31} \mathrm{~kg}\) ) is sent into an electric field of intensity \(9.1 \times 10^{6}\) newton/coulomb. The acceleration produced is

1 \(1.6 \times 10^{18} \mathrm{~m} / \mathrm{s}^{2}\)
2 \(1.6 \times 10^{6} \mathrm{~m} / \mathrm{s}^{2}\)
3 \(1.6 \times 10^{-18} \mathrm{~m} / \mathrm{s}^{2}\)
4 \(1.6 \times 10^{-6} \mathrm{~m} / \mathrm{s}^{2}\)
Electric Charges and Fields

267871 Theelectric field at \((30,30) \mathrm{cm}\) dueto a charge of \(-8 \mathrm{nC}\) at the origin in \(\mathrm{NC}^{-1}\) is

1 \(-400(\bar{i}+\bar{j})\)
2 \(400(\bar{i}+\bar{j})\)
3 \(-200 \sqrt{2}(\bar{i}+\bar{j})\)
4 \(200 \sqrt{2}(\bar{i}+\bar{j})\)
Electric Charges and Fields

267872 Two charges of\(10 \mu \mathrm{C}\) and \(-90 \mu \mathrm{C}\) are separated by a distance of \(24 \mathrm{~cm}\). E lectrostatic field strength from the smaller charge is zero at a distance of

1 \(12 \mathrm{~cm}\)
2 \(24 \mathrm{~cm}\)
3 \(36 \mathrm{~cm}\)
4 \(48 \mathrm{~cm}\)
Electric Charges and Fields

267855 A uniformly charged thin spherical shell of radius\(R\) carries uniform surface charge density of \(\sigma\) per unit area. It is made of two hemispherical shells, held together by pressing them with forceF.F is proportional to

1 \(\frac{1}{\varepsilon_{0}} \sigma^{2} R^{2}\)
2 \(\frac{1}{\varepsilon_{0}} \sigma^{2} R\)
3 \(\frac{1}{\varepsilon_{0}} \frac{\sigma^{2}}{R}\)
4 \(\frac{1}{\varepsilon_{0}} \frac{\sigma^{2}}{R^{2}}\)
Electric Charges and Fields

267870 An electron (mass\(=9.1 \times 10^{-31} \mathrm{~kg}\) ) is sent into an electric field of intensity \(9.1 \times 10^{6}\) newton/coulomb. The acceleration produced is

1 \(1.6 \times 10^{18} \mathrm{~m} / \mathrm{s}^{2}\)
2 \(1.6 \times 10^{6} \mathrm{~m} / \mathrm{s}^{2}\)
3 \(1.6 \times 10^{-18} \mathrm{~m} / \mathrm{s}^{2}\)
4 \(1.6 \times 10^{-6} \mathrm{~m} / \mathrm{s}^{2}\)
Electric Charges and Fields

267871 Theelectric field at \((30,30) \mathrm{cm}\) dueto a charge of \(-8 \mathrm{nC}\) at the origin in \(\mathrm{NC}^{-1}\) is

1 \(-400(\bar{i}+\bar{j})\)
2 \(400(\bar{i}+\bar{j})\)
3 \(-200 \sqrt{2}(\bar{i}+\bar{j})\)
4 \(200 \sqrt{2}(\bar{i}+\bar{j})\)
Electric Charges and Fields

267872 Two charges of\(10 \mu \mathrm{C}\) and \(-90 \mu \mathrm{C}\) are separated by a distance of \(24 \mathrm{~cm}\). E lectrostatic field strength from the smaller charge is zero at a distance of

1 \(12 \mathrm{~cm}\)
2 \(24 \mathrm{~cm}\)
3 \(36 \mathrm{~cm}\)
4 \(48 \mathrm{~cm}\)
Electric Charges and Fields

267855 A uniformly charged thin spherical shell of radius\(R\) carries uniform surface charge density of \(\sigma\) per unit area. It is made of two hemispherical shells, held together by pressing them with forceF.F is proportional to

1 \(\frac{1}{\varepsilon_{0}} \sigma^{2} R^{2}\)
2 \(\frac{1}{\varepsilon_{0}} \sigma^{2} R\)
3 \(\frac{1}{\varepsilon_{0}} \frac{\sigma^{2}}{R}\)
4 \(\frac{1}{\varepsilon_{0}} \frac{\sigma^{2}}{R^{2}}\)
Electric Charges and Fields

267870 An electron (mass\(=9.1 \times 10^{-31} \mathrm{~kg}\) ) is sent into an electric field of intensity \(9.1 \times 10^{6}\) newton/coulomb. The acceleration produced is

1 \(1.6 \times 10^{18} \mathrm{~m} / \mathrm{s}^{2}\)
2 \(1.6 \times 10^{6} \mathrm{~m} / \mathrm{s}^{2}\)
3 \(1.6 \times 10^{-18} \mathrm{~m} / \mathrm{s}^{2}\)
4 \(1.6 \times 10^{-6} \mathrm{~m} / \mathrm{s}^{2}\)
Electric Charges and Fields

267871 Theelectric field at \((30,30) \mathrm{cm}\) dueto a charge of \(-8 \mathrm{nC}\) at the origin in \(\mathrm{NC}^{-1}\) is

1 \(-400(\bar{i}+\bar{j})\)
2 \(400(\bar{i}+\bar{j})\)
3 \(-200 \sqrt{2}(\bar{i}+\bar{j})\)
4 \(200 \sqrt{2}(\bar{i}+\bar{j})\)
Electric Charges and Fields

267872 Two charges of\(10 \mu \mathrm{C}\) and \(-90 \mu \mathrm{C}\) are separated by a distance of \(24 \mathrm{~cm}\). E lectrostatic field strength from the smaller charge is zero at a distance of

1 \(12 \mathrm{~cm}\)
2 \(24 \mathrm{~cm}\)
3 \(36 \mathrm{~cm}\)
4 \(48 \mathrm{~cm}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here