$10$ cells,each of emf $E$ and internal resistance $r$,are connected in series to a variable external resistance. The figure shows the variation of the terminal potential difference of their combination with the current drawn from the combination. The emf of each cell is ............. $V$.

  • A
    $1.6$
  • B
    $3.6$
  • C
    $1.4$
  • D
    $4.2$

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Suppose that $E_1$ and $E_2$ are two events of a random experiment such that $P(E_1) = \frac{1}{4}$, $P(E_2 / E_1) = \frac{1}{2}$ and $P(E_1 / E_2) = \frac{1}{4}$. Observe the lists given below. The correct matching of List-$I$ from List-$II$ is:
List-$I$List-$II$
$(A)$ $P(E_2)$$(i)$ $1/4$
$(B)$ $P(E_1 \cup E_2)$$(ii)$ $5/8$
$(C)$ $P(\bar{E}_1 / \bar{E}_2)$$(iii)$ $1/8$
$(D)$ $P(E_1 / \bar{E}_2)$$(iv)$ $1/2$
$(v)$ $3/8$
$(vi)$ $3/4$

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The voltage of an $ac$ source varies with time according to the equation $V = 100 \sin(100 \pi t) \cos(100 \pi t)$,where $t$ is in seconds and $V$ is in volts. Then:

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Which of the following ions is paramagnetic?

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