An electrical circuit consists of ten $100 \,\Omega$ resistors. Out of these $10$ resistors, a group of $n _1$ resistors are connected in parallel and another group of $n _2$ resistors are separately connected in parallel. These two groups are then connected in series and this combination is connected to a voltage source of $100 \,V$. If the net current though the circuit is $2.5 \,A$. The values of $n _1$ and $n _2$ are
KVPY 2021, Diffcult
Download our app for free and get startedPlay store
(B)

$R =\frac{ V }{ I }=40$

Check from options

art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    In circuit shown below, the resistances are given in $ohms$ and the battery is assumed ideal with emf equal to $3\, volt$. The voltage across the resistance $R_4$ is ................. $V$
    View Solution
  • 2
    If power in external resistance $R$ is maximum then

    $(i) R = r$                              $(ii)$ Power in $R$ is $\frac{{{E^2}}}{{4R}}$

    $(iii)$ Input power $\frac{{{E^2}}}{{2R}}$         $(iv)$Efficiency is $50\%$

    View Solution
  • 3
    The resistance in the two arms of a meter bridge are $5\,\Omega $ and $R\,\Omega $, respectively. When the resistance $R$ is shunted with an equal resistance, the new balance point is at $1.6\, l_1$. The resistance $‘R’$ is ................. $\Omega$
    View Solution
  • 4
    The current flowing through a lamp marked as $50\, W$ and $250\, V$ is ............. $amp$
    View Solution
  • 5
    In a balanced Wheatstone’s network, the resistances in the arms $Q$ and $S$ are interchanged. As a result of this
    View Solution
  • 6
     In the circuit shown, the current through $8\,ohm$ issame before and after connecting $E$. The value of $E$ is .................... $\mathrm{V}$
    View Solution
  • 7
    In the circuit, the potential difference across $PQ$ will be nearest to .............. $V$
    View Solution
  • 8
    When a piece of aluminium wire of finite length is drawn through a series of dies to reduce its diameter to half its original value, its resistance will become ........ times
    View Solution
  • 9
    A technician has only two resistance coils. By using them singly, in series or in parallel, he is able to obtain the resistance $3,4,12$ and $16 \,ohms$. The resistance of the two coils are ........... $ohms$
    View Solution
  • 10
    The current $I$ flowing through the given circuit will be $.....A$.
    View Solution