Two resistance of $100\ \Omega$ and $200\ \Omega$ are connected in series with a battery of $4 \mathrm{~V}$ and negligible internal resistance. $A$ voltmeter is used to measure voltage across $100 \Omega$ resistance, which gives reading as $1 \mathrm{~V}$. The resistance of voltmeter must be ___$\Omega$.
JEE MAIN 2024, Diffcult
Download our app for free and get started
$\frac{R_V \cdot 100}{R_\gamma+100}=\frac{200}{3}$
$3 R_v=2 R_v+200$
$R_v=200$
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
- 1A current through a wire depends on time as $i =\alpha_{0} t +\beta t ^{2}$ where $\alpha_{0}=20 A / s$ and $\beta=8 As ^{-2} .$ Find the charge crossed through a section of the wire in $15 \,s$ (in $C$)View Solution
- 2Find the equivalent resistance between the points $a$ and $b$ .......... $\Omega$View Solution
- 3In a potentiometer arrangement, a cell of emf $1.20\, V$ gives a balance point at $36\, cm$ length of wire. This cell is now replaced by another cell of emf $1.80\, V$. The difference in balancing length of potentiometer wire in above conditions will be $....cm$.View Solution
- 4A wire of resistance $R$ is divided in $10$ equal parts. These parts are connected in parallel, the equivalent resistance of such connection will beView Solution
- 5Wheatstone bridge principle is used to measure the specific resistance $\left(S_1\right)$ of given wire, having length $L$, radius $r$. If $X$ is the resistance of wire, then specific resistance is: $S_1=X\left(\frac{\pi r^2}{L}\right)$. If the length of the wire gets doubled then the value of specific resistance will be :View Solution
- 6View SolutionTwo identical heater filaments are connected first in parallel and then in series. At the same applied voltage, the ratio of heat produced in same time for parallel to series will be:
- 7A copper wire of resistance $R$ is cut into ten parts of equal length. Two pieces each are joined in series and then five such combinations are joined in parallel. The new combination will have a resistanceView Solution
- 8A potential divider is used to give outputs of $4\,V$ and $8\,V$ from a $12\,V$ source. Which combination of resistances, $(R_1 : R_2 : R_3)$ gives the correct voltagesView Solution
- 9In a meter bridge the point $D$ is neutral point as shown in the figure.View Solution
- 10How many $60 \,W$ bulbs may be safely run on $220 \,V$ using a $5 \,A$ fuse is .........View Solution