00. Electric Current, Current Density and Drift Velocity
Current Electricity

151710 Two isolated metallic solid spheres of radii $R$ and $2 \mathrm{R}$ are charged such that both have same charge density $\sigma$. The spheres are then connected by a thin conducting wire. If the new charge density of the bigger sphere is $\sigma^{\prime}$. The ratio $\frac{\sigma^{\prime}}{\sigma}$ is

1 $5 / 3$
2 $9 / 4$
3 $5 / 6$
4 $4 / 3$
Current Electricity

151711 The charge flowing in a conductor changes with time as $Q(t)=\alpha t-\beta t^{2}+\gamma t^{3}$. Where $\alpha, \beta$ and $\gamma$ are constants. Minimum value of current is:

1 $\alpha-\frac{\gamma^{2}}{3 \beta}$
2 $\beta-\frac{\alpha^{2}}{3 \gamma}$
3 $\alpha-\frac{\beta^{2}}{3 \gamma}$
4 $\alpha-\frac{3 \beta^{2}}{\gamma}$
Current Electricity

151712 The ratio of average electric energy density and total average energy density of electromagnetic wave is :

1 2
2 3
3 $\frac{1}{2}$
4 1
Current Electricity

151717 Ten identical cell each of potential ' $E$ ' and internal resistance ' $r$ ', are connected in series to form a closed circuit. An ideal voltmeter connected across three cells, will read

1 $13 \mathrm{E}$
2 $7 \mathrm{E}$
3 $10 \mathrm{E}$
4 $3 \mathrm{E}$
Current Electricity

151718 A charged particle is moving in an electric field of $3 \times 10^{-10} \mathrm{Vm}^{-1}$ with mobility $2.5 \times 10^{6} \mathrm{~m}^{2} / \mathrm{V} / \mathrm{s}$, its drift velocity is

1 $2.5 \times 10^{4} \mathrm{~m} / \mathrm{s}$
2 $1.2 \times 10^{-4} \mathrm{~m} / \mathrm{s}$
3 $7.5 \times 10^{-4} \mathrm{~m} / \mathrm{s}$
4 $8.33 \times 10^{-4} \mathrm{~m} / \mathrm{s}$
Current Electricity

151710 Two isolated metallic solid spheres of radii $R$ and $2 \mathrm{R}$ are charged such that both have same charge density $\sigma$. The spheres are then connected by a thin conducting wire. If the new charge density of the bigger sphere is $\sigma^{\prime}$. The ratio $\frac{\sigma^{\prime}}{\sigma}$ is

1 $5 / 3$
2 $9 / 4$
3 $5 / 6$
4 $4 / 3$
Current Electricity

151711 The charge flowing in a conductor changes with time as $Q(t)=\alpha t-\beta t^{2}+\gamma t^{3}$. Where $\alpha, \beta$ and $\gamma$ are constants. Minimum value of current is:

1 $\alpha-\frac{\gamma^{2}}{3 \beta}$
2 $\beta-\frac{\alpha^{2}}{3 \gamma}$
3 $\alpha-\frac{\beta^{2}}{3 \gamma}$
4 $\alpha-\frac{3 \beta^{2}}{\gamma}$
Current Electricity

151712 The ratio of average electric energy density and total average energy density of electromagnetic wave is :

1 2
2 3
3 $\frac{1}{2}$
4 1
Current Electricity

151717 Ten identical cell each of potential ' $E$ ' and internal resistance ' $r$ ', are connected in series to form a closed circuit. An ideal voltmeter connected across three cells, will read

1 $13 \mathrm{E}$
2 $7 \mathrm{E}$
3 $10 \mathrm{E}$
4 $3 \mathrm{E}$
Current Electricity

151718 A charged particle is moving in an electric field of $3 \times 10^{-10} \mathrm{Vm}^{-1}$ with mobility $2.5 \times 10^{6} \mathrm{~m}^{2} / \mathrm{V} / \mathrm{s}$, its drift velocity is

1 $2.5 \times 10^{4} \mathrm{~m} / \mathrm{s}$
2 $1.2 \times 10^{-4} \mathrm{~m} / \mathrm{s}$
3 $7.5 \times 10^{-4} \mathrm{~m} / \mathrm{s}$
4 $8.33 \times 10^{-4} \mathrm{~m} / \mathrm{s}$
Current Electricity

151710 Two isolated metallic solid spheres of radii $R$ and $2 \mathrm{R}$ are charged such that both have same charge density $\sigma$. The spheres are then connected by a thin conducting wire. If the new charge density of the bigger sphere is $\sigma^{\prime}$. The ratio $\frac{\sigma^{\prime}}{\sigma}$ is

1 $5 / 3$
2 $9 / 4$
3 $5 / 6$
4 $4 / 3$
Current Electricity

151711 The charge flowing in a conductor changes with time as $Q(t)=\alpha t-\beta t^{2}+\gamma t^{3}$. Where $\alpha, \beta$ and $\gamma$ are constants. Minimum value of current is:

1 $\alpha-\frac{\gamma^{2}}{3 \beta}$
2 $\beta-\frac{\alpha^{2}}{3 \gamma}$
3 $\alpha-\frac{\beta^{2}}{3 \gamma}$
4 $\alpha-\frac{3 \beta^{2}}{\gamma}$
Current Electricity

151712 The ratio of average electric energy density and total average energy density of electromagnetic wave is :

1 2
2 3
3 $\frac{1}{2}$
4 1
Current Electricity

151717 Ten identical cell each of potential ' $E$ ' and internal resistance ' $r$ ', are connected in series to form a closed circuit. An ideal voltmeter connected across three cells, will read

1 $13 \mathrm{E}$
2 $7 \mathrm{E}$
3 $10 \mathrm{E}$
4 $3 \mathrm{E}$
Current Electricity

151718 A charged particle is moving in an electric field of $3 \times 10^{-10} \mathrm{Vm}^{-1}$ with mobility $2.5 \times 10^{6} \mathrm{~m}^{2} / \mathrm{V} / \mathrm{s}$, its drift velocity is

1 $2.5 \times 10^{4} \mathrm{~m} / \mathrm{s}$
2 $1.2 \times 10^{-4} \mathrm{~m} / \mathrm{s}$
3 $7.5 \times 10^{-4} \mathrm{~m} / \mathrm{s}$
4 $8.33 \times 10^{-4} \mathrm{~m} / \mathrm{s}$
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Current Electricity

151710 Two isolated metallic solid spheres of radii $R$ and $2 \mathrm{R}$ are charged such that both have same charge density $\sigma$. The spheres are then connected by a thin conducting wire. If the new charge density of the bigger sphere is $\sigma^{\prime}$. The ratio $\frac{\sigma^{\prime}}{\sigma}$ is

1 $5 / 3$
2 $9 / 4$
3 $5 / 6$
4 $4 / 3$
Current Electricity

151711 The charge flowing in a conductor changes with time as $Q(t)=\alpha t-\beta t^{2}+\gamma t^{3}$. Where $\alpha, \beta$ and $\gamma$ are constants. Minimum value of current is:

1 $\alpha-\frac{\gamma^{2}}{3 \beta}$
2 $\beta-\frac{\alpha^{2}}{3 \gamma}$
3 $\alpha-\frac{\beta^{2}}{3 \gamma}$
4 $\alpha-\frac{3 \beta^{2}}{\gamma}$
Current Electricity

151712 The ratio of average electric energy density and total average energy density of electromagnetic wave is :

1 2
2 3
3 $\frac{1}{2}$
4 1
Current Electricity

151717 Ten identical cell each of potential ' $E$ ' and internal resistance ' $r$ ', are connected in series to form a closed circuit. An ideal voltmeter connected across three cells, will read

1 $13 \mathrm{E}$
2 $7 \mathrm{E}$
3 $10 \mathrm{E}$
4 $3 \mathrm{E}$
Current Electricity

151718 A charged particle is moving in an electric field of $3 \times 10^{-10} \mathrm{Vm}^{-1}$ with mobility $2.5 \times 10^{6} \mathrm{~m}^{2} / \mathrm{V} / \mathrm{s}$, its drift velocity is

1 $2.5 \times 10^{4} \mathrm{~m} / \mathrm{s}$
2 $1.2 \times 10^{-4} \mathrm{~m} / \mathrm{s}$
3 $7.5 \times 10^{-4} \mathrm{~m} / \mathrm{s}$
4 $8.33 \times 10^{-4} \mathrm{~m} / \mathrm{s}$
Current Electricity

151710 Two isolated metallic solid spheres of radii $R$ and $2 \mathrm{R}$ are charged such that both have same charge density $\sigma$. The spheres are then connected by a thin conducting wire. If the new charge density of the bigger sphere is $\sigma^{\prime}$. The ratio $\frac{\sigma^{\prime}}{\sigma}$ is

1 $5 / 3$
2 $9 / 4$
3 $5 / 6$
4 $4 / 3$
Current Electricity

151711 The charge flowing in a conductor changes with time as $Q(t)=\alpha t-\beta t^{2}+\gamma t^{3}$. Where $\alpha, \beta$ and $\gamma$ are constants. Minimum value of current is:

1 $\alpha-\frac{\gamma^{2}}{3 \beta}$
2 $\beta-\frac{\alpha^{2}}{3 \gamma}$
3 $\alpha-\frac{\beta^{2}}{3 \gamma}$
4 $\alpha-\frac{3 \beta^{2}}{\gamma}$
Current Electricity

151712 The ratio of average electric energy density and total average energy density of electromagnetic wave is :

1 2
2 3
3 $\frac{1}{2}$
4 1
Current Electricity

151717 Ten identical cell each of potential ' $E$ ' and internal resistance ' $r$ ', are connected in series to form a closed circuit. An ideal voltmeter connected across three cells, will read

1 $13 \mathrm{E}$
2 $7 \mathrm{E}$
3 $10 \mathrm{E}$
4 $3 \mathrm{E}$
Current Electricity

151718 A charged particle is moving in an electric field of $3 \times 10^{-10} \mathrm{Vm}^{-1}$ with mobility $2.5 \times 10^{6} \mathrm{~m}^{2} / \mathrm{V} / \mathrm{s}$, its drift velocity is

1 $2.5 \times 10^{4} \mathrm{~m} / \mathrm{s}$
2 $1.2 \times 10^{-4} \mathrm{~m} / \mathrm{s}$
3 $7.5 \times 10^{-4} \mathrm{~m} / \mathrm{s}$
4 $8.33 \times 10^{-4} \mathrm{~m} / \mathrm{s}$