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Current Electricity

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Q 1. A constant voltage is applied between the two ends of a uniform metallic wire. Some heat is developed in it. The heat developed is doubled if

both the length and the radius of the wire are halved.

both the length and the radius of the wire are doubled.

the radius of the wire is doubled.

the length of the wire is doubled.

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Q 2. A piece of copper and another of germanium are cooled from room temperature to {tex} 80 ^ { \circ } \mathrm { K } . {/tex} The resistance of

each of them increases

each of them decreases

copper increases and germanium decreases

copper decreases and germanium increases

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Q 3. In the circuit {tex} P \neq R , {/tex} the reading of the galvanometer is same with switch {tex} S {/tex} open or closed. Then

{tex} I _ { R } { = } I _ { G } {/tex}

{tex} I _ { P } = I _ { G } {/tex}

{tex} I _ { Q } = I _ { G } {/tex}

{tex} I _ { Q } = I _ { R } {/tex}

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Q 4. The three resistance of equal value are arranged in the different combinations shown below. Arrange them in increasing order of power dissipation.

{tex} \mathrm { III } < \mathrm { II } < \mathrm { IV } < \mathrm { I } {/tex}

{tex} \mathrm { II } < \mathrm { III } < \mathrm { IV } < \mathrm { I } {/tex}

{tex} \mathrm { I } < \mathrm { IV } < \mathrm { III } < \mathrm { II } {/tex}

{tex} \mathrm { I } < \mathrm { III } < \mathrm { II } < \mathrm { IV } {/tex}

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Q 5. Shown in figure is a Post Office box. In order to calculate the value of external resistance, it should be connected between

{tex} B ^ { \prime } {/tex} and {tex} C^{\prime} {/tex}

{tex} A {/tex} and {tex} D {/tex}

{tex} C {/tex} and {tex} D {/tex}

{tex} B {/tex} and {tex} D {/tex}

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Q 6. Find out the value of current through {tex} 2 \Omega {/tex} resistance for the given circuit.

zero

{tex} 2 A {/tex}

{tex} 5 A {/tex}

{tex} 4 A {/tex}

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Q 7. A {tex} 4 \mu F {/tex} capacitor, a resistance of {tex} 2.5 M \Omega {/tex} is in series with {tex} 12 \mathrm { V } {/tex} battery. Find the time after which the potential difference across the capacitor is {tex}3{/tex} times the potential difference across the resistor. {tex} [ \text { Given } \ln ( 2 ) = 0.693 ] {/tex}

{tex} 13.86 s {/tex}

{tex} 6.93 \mathrm { s } {/tex}

{tex} 7 \mathrm { s } {/tex}

{tex} 14 \mathrm { s } {/tex}

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Q 8. A resistance of {tex} 2 \Omega {/tex} is connected across one gap of a metre- bridge (the length of the wire is {tex} 100 \mathrm { cm } {/tex} ) and an unknown resistance, greater than {tex} 2 \Omega , {/tex} is connected across the other gap. When these resistances are interchanged, the balance point shifts by {tex} 20 \mathrm { cm } . {/tex} Neglecting any corrections, the unknown resistance is

{tex} 3 \Omega {/tex}

{tex} 4 \Omega {/tex}

{tex} 5 \Omega {/tex}

{tex} 6 \Omega {/tex}

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Q 9. Incandescent bulbs are designed by keeping in mind that the resistance of their filament increases with the increase in temperature. If at room temperature, {tex} 100 \mathrm { W } , 60 \mathrm { W } {/tex} and {tex} 40 \mathrm { W } {/tex} bulbs have filament resistances {tex} R _ { 100 } , R _ { 60 } {/tex} and {tex} R _ { 40 } {/tex} respectively, the relation between these resistances is

{tex} \frac { 1 } { R _ { 100 } } = \frac { 1 } { R _ { 40 } } + \frac { 1 } { R _ { 60 } } {/tex}

{tex} R _ { 100 } = R _ { 40 } + R _ { 60 } {/tex}

{tex} R _ { 100 } > R _ { 60 } > R _ { 40 } {/tex}

{tex} \frac { 1 } { R _ { 100 } } > \frac { 1 } { R _ { 60 } } > \frac { 1 } { R _ { 40 } } {/tex}

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