In the experimental setup of meter bridge shown in the figure, the null point is obtained at a distance of $40\,cm$ from $A$. If a $10\,\Omega $ resistor is connected in series with $R_1$, the null point shifts by $10\,cm$. The resistance that should be connected in parallel with $\left( {{R_1} + 10} \right)\,\Omega $ such that the null point shifts back to its initial position is .............. $\Omega$
JEE MAIN 2019, Diffcult
Download our appand 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
- 1The total current supplied to the circuit as shown in figure by the $5 V$ battery is $A$View Solution
- 2The effective resistance of two resistors in parallel is $\frac{{12}}{7}\,\Omega $. If one of the resistors is disconnected the resistance becomes $4$ $\Omega$. The resistance of the other resistor is.............. $\Omega$View Solution
- 3The $V-i$ graph for a conductor at temperature ${T_1}$ and ${T_2}$ are as shown in the figure. $({T_2} - {T_1})$ is proportional toView Solution
- 4Consider a metallic cube of edge length $L$. Its resistance, $R$, measured across its opposite faces is $R =\frac{ m _{ e } v }{ ne ^2 L ^2}$, where $n$ is the number density and $v$ is the drift speed of electrons in the cube, and $e$ and $m _{ e }$ are the charge and mass of an electron respectively. Assuming the de-Broglie wavelength of the electron to be $L$, the maximum resistance of the sample is closest to ............. $\,\Omega$ $\left(e=1.60 \times 10^{-19} \,C ; m _{ e }=9.11 \times 10^{-31} \,kg\right.$; Planck's constant, $h=6.63 \times 10^{-34} \,Js$ )View Solution
- 5When an ammeter of negligible internal resistance is inserted in series with circuit it reads $1A$. When the voltmeter of very large resistance is connected across $X$ it reads $1V$. When the point $A$ and $B$ are shorted by a conducting wire, the voltmeter measures $10\, V$ across the battery. The internal resistance of the battery is equal to .............. $\Omega$View Solution
- 6A potentiometer circuit is set up as shown. The potential gradient, across the potentiometer wire, is $k$ $volt/cm$ and the ammeter, present in the circuit, reads $1.0\,\, A$ when two way key is switched off. The balance points, when the key between the terminals $(i)$ $1$ and $2$ $(ii)$ $1$ and $3,$ is plugged in, are found to be at lengths $l_1$ and $l_2$ respectively. The magnitudes, of the resistors $R$ and $X,$ in $ohms$, are then, equal, respectively, toView Solution
- 7The reading of voltmeter is :- .............. $V$View Solution
- 8The figure shows a network of four resistances and three batteries The electrical power dissipated as heat is .............. $W$View Solution
- 9The current through a wire depends on time as $i = (2+3t)\, mA$. The charge crossing through a section of the wire in $1\, min$ is .............. $\mathrm{C}$View Solution
- 10In the circuit shown, what is the potential difference $V_{PQ}$? ................ $V$View Solution
