In potentiometer experiment when $K_1$ is closed balance length is $100\,cm$. Then what will be balancing length when $K_2$ is closed ................ $\mathrm{cm}$
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Consider 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, $h=6.63 \times 10^{-34} \,Js$ )
In the given figure, there is a circuit of potentiometer of length $A B=10 \,{m}$. The resistance per unit length is $0.1 \,\Omega$ per ${cm}$. Across ${AB}$, a battery of emf ${E}$ and internal resistance ' ${r}^{\prime}$ is connected. The maximum value of emf measured by this potentiometer is : (In $V$)
$50\,\Omega $ and $100\,\Omega $ resistors are connected in series. This connection is connected with a battery of $2.4\, volts$. When a voltmeter of $100\,\Omega $ resistance is connected across $100\,\Omega $ resistor, then the reading of the voltmeter will be ............. $V$
The actual value of resistance $R$, shown in the figure is $30\,\Omega $. This is measured in an experiment as shown using the standard formula $R = \frac{V}{I}$ where $V$ and $I$ are the readings of the voltmeter and ammeter, respectively. If the measured value of $R$ is $5\%$ less, then the internal resistance of the voltmeter is ................. $\Omega$
The $e.m.f.$ of a standard cell balances across $150\, cm$ length of a wire of potentiometer. When a resistance of $2\,\Omega $ is connected as a shunt with the cell, the balance point is obtained at $100\,cm$. The internal resistance of the cell is .............. $\Omega $
In the following circuit, the battery has an emf of $2\mathrm{V}$ and an internal resistance of $\frac{2}{3}\ \Omega$. The power consumption in the entire circuit is$..... W.$