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Q 1. Two identical metal plates are given positive charges {tex} Q _ { 1 } {/tex} and {tex} Q _ { 2 } \left( < Q _ { 1 } \right) {/tex} respectively. If they are now brought close together to form a parallel plate capacitor with capacitance {tex} C , {/tex} the potential difference between them is
{tex} \left( Q _ { 1 } + Q _ { 2 } \right) / ( 2 C ) {/tex}
{tex} \left( Q _ { 1 } + Q _ { 2 } \right) / C {/tex}
{tex} \left( Q _ { 1 } - Q _ { 2 } \right) / C {/tex}
{tex} \left( Q _ { 1 } - { Q } _ { 2 } \right) / ( 2 C ) {/tex}
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Q 2. Three positive charges of equal value {tex} q {/tex} are placed at the vertices of an equilateral triangle. The resulting lines of force should be sketched as in
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Q 3. Consider the situation shown in the figure. The capacitor {tex} A {/tex} has a charge {tex} q {/tex} on it whereas {tex} B {/tex} is uncharged. The charge appearing on the capacitor {tex} B {/tex} a long time after the switch is closed is
zero
{tex} q / 2 {/tex}
{tex} q {/tex}
{tex} 2 q {/tex}
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Q 4. In the arrangement of capacitors shown in figure, each capacitor is of {tex} 9 \mu F , {/tex} Then the equivalent capacitance between in points {tex} A {/tex} and {tex} B {/tex} is
{tex} 9 \mu \mathrm F {/tex}
{tex} 18 \mu \mathrm F {/tex}
{tex} 4.5 \mu \mathrm F {/tex}
{tex} 15\mu \mathrm F {/tex}
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Q 5. In the electric field of a point charge {tex} q {/tex}, a certain point charges is carried from point {tex} A {/tex} to {tex} B , C , D {/tex} and {tex} E {/tex} as shown in figue The work done is
Least along the path {tex} A E {/tex}
Least along the path {tex} A C {/tex}
Zero along any one of the paths
Least along {tex} A B {/tex}
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Q 6. Each capacitor shown in figure is {tex} 2 \mu \mathrm { F } . {/tex} Then the equivalent capacitance between points {tex} A {/tex} and {tex} B {/tex} is
{tex} 2 \mu \mathrm { F } {/tex}
{tex} 4\mu \mathrm F {/tex}
{tex} 6 \mu \mathrm F {/tex}
{tex} 8 \mu \mathrm { F } {/tex}
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Q 7. Some equipotential surfaces are shown in Fig. The magnitude and direction of the electric field is
{tex} 100 \mathrm { Vm } ^ { - 1 } {/tex} making angle {tex} 120 ^ { \circ } {/tex} with the {tex} x {/tex} -axis
{tex} 200 \mathrm { Vm } ^ { - 1 } {/tex} making angle {tex} 60 ^ { \circ } {/tex} with the {tex} x {/tex} -axis
{tex} 200 \mathrm { Vm } ^ { - 1 } {/tex} making angle {tex} 120 ^ { \circ } {/tex} with the {tex} x {/tex} -axis
None of the above
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Q 8. Charges {tex} 2 q , - q {/tex} and {tex} - q {/tex} lie at the vertices of a triangle. The value of {tex} E {/tex} and {tex} V {/tex} at the centroid of equilateral triangle will be
{tex} \mathrm { E } \neq 0 {/tex} and {tex} \mathrm { V } \neq 0 {/tex}
{tex} \mathrm { E } = 0 {/tex} and {tex} \mathrm { V } = 0 {/tex}
{tex} \mathrm { E } \neq 0 {/tex} and {tex} \mathrm { V } = 0 {/tex}
{tex} \mathrm { E } = 0 {/tex} and {tex} \mathrm { V } \neq 0 {/tex}
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Q 9. For the circuit shown in figure the charge on {tex} 4 \mu \mathrm { F } {/tex} capacitor is
{tex} 40 \mu C {/tex}
{tex} 30 \mu C {/tex}
{tex} 24 \mu C {/tex}
{tex} 54 \mu C {/tex}
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Q 10. Five balls numbered {tex} 1,2,3,4,5 {/tex} are suspended using separate threads. The balls {tex} ( 1,2 ) , ( 2,4 ) {/tex} and {tex} ( 4,1 ) {/tex} show electrostatic attraction, while balls {tex} ( 2,3 ) {/tex} and {tex} ( 4,5 ) {/tex} show repulsion. Therefore, ball {tex}1{/tex} must be
Negatively charged
Positively charged
Neutral
Made of metal
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Q 11. A dielectric in the form of a sphere is introduced into a homogeneous electric field. {tex} A , B {/tex} and {tex} C {/tex} are three points as shown in fig
Then,
Intensity at {tex} A {/tex} increases while that at {tex} B {/tex} and {tex} C {/tex} decreases
Intensity at {tex} A {/tex} and {tex} B {/tex} decreases, whereas intensity at {tex} C {/tex} increases
Intensity at {tex} A {/tex} and {tex} C {/tex} increases and that {tex} B {/tex} decreases
Intensity at {tex} A , B {/tex} and {tex} C {/tex} decreases
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Q 12. If the flux of the electric field through a closed surface is zero, then
The electric field must be zero everywhere on the surface
The total charge inside the surface must be zero
The electric field must be uniform throughout the closed surface
The charge outside the surface must be zero
