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The figure shows a network of resistors and $a$ battery. If $1\,A$ current flowsthrough the branch $CF$, then answer the following questions The current through
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  • 1
    The series combination of two batteries, both of the same emf $10 \mathrm{\;V},$ but different internal resistance of $20\; \Omega$ and $5\; \Omega,$ is connected to the parallel combination of two resistors $30\; \Omega$ and $\mathrm{R}\; \Omega .$ The voltage difference across the battery of internal resistance $20\; \Omega$ is zero, the value of $\mathrm{R}(\text { in } \Omega)$ is 
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  • 2
    The energy dissipated by a resistor is $10 \,mJ$ in $1\,s$ when an electric current of $2\, mA$ flows through it. The resistance is $....... \Omega$

    (Round off to the Nearest Integer)

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  • 3
    In the circuit shown, the resistance $r$ is a variable resistance. If for $r = fR,$  the heat generation in $r$ is maximum then the value of $f$ is 
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  • 4
    In the following circuit, $1 \,\Omega$ resistor dissipates power $P$. If the resistor is replaced by $9 \,\Omega$, the power dissipated in it is
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  • 5
    A student uses the resistance of a known resistor $(1 \,\Omega)$ to calibrate a voltmeter and an ammeter using the circuits shown below. The student measures the ratio of the voltage to current to be $1 \times 10^3 \,\Omega$ in circuit $(a)$ and $0.999 \,\Omega$ in circuit $(b)$. From these measurements, the resistance (in $\Omega$ ) of the voltmeter and ammeter are found to be close to
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  • 6
    A $100\, W \, bulb\, B_1$ and two $60\, W \,bulbs \,B_2$ and $B_3$, are connected to a  $220\, V$ source, as shown in Figure. Now $P_1, P_2$ and $P_3$ are the output powers  of the bulbs $B_1, B_2$ and $B_3$ respectively. Then
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  • 7
    You are given a resistance wire of length $50\, cm$ and a battery of negligible resistance. In which of the following cases is largest amount of heat generated
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  • 8
    Read the following statements carefully :

    $Y :$ The resistivity of a semiconductor decreases with increases of temperature.

    $Z :$ In a conducting solid, the rate of collision between free electrons and ions increases with increase of temperature.

    Select the correct statement from the following :

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  • 9
    The meter bridge shown is in balanced position with $\frac{\mathrm{P}}{\mathrm{Q}}=\frac{\mathrm{l}_{1}}{\mathrm{l}_{2}}$. If we now litterchange the positions of gavanometer and cell, will the bridge work? If yes, what will be balance condition?
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  • 10
    Three copper rods are subjected to different potential difference. Compare the drift speed of electrons through them. Assume that all $3$ are at the same temperature.
      Length Diameter Potential difference
    $(A)$ $L$ $3d$ $V$
    $(B)$ $2L$ $d$ $2V$
    $(C)$ $3L$ $2d$ $2V$
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