When a $CuSO_4$ cell and an $AgNO_3$ cell are connected in series and a current is passed through them,if $1 \, mg$ of copper is deposited in the first cell,how much silver (in $mg$) will be deposited in the second cell? $(A_{Cu} = 63.57, A_{Ag} = 107.88)$

  • A
    $1.7$
  • B
    $3.4$
  • C
    $5.1$
  • D
    $6.8$

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Column $- I$ gives certain physical terms associated with the flow of current through a metallic conductor. Column $- II$ gives some mathematical relations involving electrical quantities. Match Column $- I$ and Column $- II$ with appropriate relations.
Column $- I$Column $- II$
$(A)$ Drift Velocity$(P)$ $\frac{m}{n e^{2} \rho}$
$(B)$ Electrical Resistivity$(Q)$ $n e v_{d}$
$(C)$ Relaxation Period$(R)$ $\frac{e E}{m} \tau$
$(D)$ Current Density$(S)$ $\frac{E}{J}$

Assertion : All electric devices shown in the circuit are ideal. The reading of each of ammeter $(A)$ and voltmeter $(V)$ is zero.
Reason : An ideal voltmeter draws almost no current due to very large resistance, and hence $(V)$ and $(A)$ will read zero.

Two heaters $A$ and $B$ have power ratings of $1 \text{ kW}$ and $2 \text{ kW}$,respectively. These two are first connected in series and then in parallel to a fixed power source. The ratio of power outputs for these two cases is:

$A$ battery is charged by a $15\,V$ battery for $8\,h$ at a current of $10\,A$. When this battery discharges, it provides a current of $5\,A$ for $15\,h$. The average terminal voltage during discharge is $14\,V$. What is the $watt-hour$ efficiency of this battery in $\%$?

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Which of the following circuits follows Ohm's law?

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