To find the resistance of a galvanometer by the half deflection method the following circuit is used with resistances $R_1 = 9970\,\Omega,$ $R_2 = 30\,\Omega$ and $R_3 = 0\,\Omega.$ The deflection in the galvanometer is $d$. With $R_3 = 107\,\Omega$ the deflection changed to $\frac {d}{2}$The galvanometer resistance is approximately ............... $\Omega$
  • A$107$
  • B$137$
  • C$53.5$
  • D$77$
JEE MAIN 2013, Diffcult
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
    A student was trying to construct the circuit shown in the figure below marked $(a)$, but ended up constructing the circuit marked $(b)$. Realising her mistake, she corrected the circuit, but to her surprise, the output voltage (across $R$ ) did not change. The value of resistance $R$ is ............ $\Omega$
    View Solution
  • 2
    The length of a potentiometer wire is $\ell $.  A cell of emf $E$ is balanced at a length $\ell /3$  from the positive end of the wire. If the length of the wire is increased by $\ell /2$ at what distance will the same cell give a balanced point
    View Solution
  • 3
    In the meter bridge shown, the length $AB$ for which the deflection in galvanometer is zero will be ............. $cm$
    View Solution
  • 4
    A charged particle having drift velocity of $7.5 \times 10^{-4}\, ms ^{-1}$ is an electric field of $3 \times 10^{-10}\, Vm ^{-1}$ has a mobility in $m ^{2} V ^{-1} s ^{-1}$ of 
    View Solution
  • 5
    In a potentiometer experiment, it is found that no current passes through the galvanometer when the terminals of the cell are connected across $52\ cm$ of the potentiometer wire. If the cell is shunted by a resistance of $ 5\,\Omega$, a balance is found when the cell is connected across $40\ cm$ of the wire. Find the internal resistance of the cell ........... $\Omega$
    View Solution
  • 6
    A $6\, volt$ battery of negligible internal resistance resistance is connected across a uniform wire $AB$ of length $100\,cm$. The positive terminal of another battery of $emf$ $4\,V$ and internal resistance $1\,\Omega $ is joined to the point $A$ as shown in fig. Take the potential at $B$ to be zero. At which point $D$ of the wire $AB$, from left the potential is equal to the potential at $C$ ? ...................... $cm$ (approximately)
    View Solution
  • 7
    With the help of potentiometer, we can determine the value of emf of a given cell. The sensitivity of the potentiometer is

    $(A)$ directly proportional to the length of the potentiometer wire

    $(B)$ directly proportional to the potential gradient of the wire

    $(C)$ inversely proportional to the potential gradient of the wire

    $(D)$ inversely proportional to the length of the potentiometer wire

    Choose the correct option for the above statements:

    View Solution
  • 8
    The total current supplied to the circuit by the battery is ............. $A$
    View Solution
  • 9
    A $3\, volt$ battery with negligible internal resistance is connected in a circuit as shown in the figure. The current $I$, in the circuit will be ............. $A$
    View Solution
  • 10
    Reading of ammeter in ampere for the following circuit is
    View Solution