Two cities are $150$ km apart. Electric power is sent from one city to another city through copper wires. The fall of potential per km is $8$ V and the average resistance per km is $0.5 \Omega.$ The power loss in the wire is

The resistance in the two arms of the 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

A potentiometer circuit has been set up for finding the internal resistance of a given cell. The main battery, used across the potentiometer wire, has an emf of $2.0 V$ and a negligible internal resistance. The potentiometer wire itself is $4$ m long. When the resistance $R$ is connected across the given cell, it has values of$\newline (a) \infty \quad (b) 9.5 \Omega \newline$The balancing lengths, on the potentiometer wire are found to be $3 m$ and $2.85 m$, respectively. The value of internal resistance of the cell is

In an ammeter $0.2\%$ of main current passes through the galvanometer. If resistance of galvanometer is $G,$ the resistance of ammeter will be

The given graph represents V-I characteristic for a semiconductor device.$\newline$Which one of the following statements is correct?

Across a metallic conductor of the non-uniform cross section, a constant potential difference is applied. The quantity which remains constant along the conductor is

A potentiometer wire has length 4 m and resistance 8 $\Omega.$ The resistance that must be connected in series with the wire and an accumulator of emf 2 V, so as to get a potential gradient 1 mV per cm on the wire is

Which logic gate is represented by the following combination of logic gates?

A, B and C are voltmeters of resistance R, 1.5 R and 3R, respectively as shown in the figure. When some potential difference is applied between X and Y, the voltmeter readings are $V_A, V_B$ and $V_C,$ respectively. Then,

To get output 1 for the following circuit, the correct choice for the input is A, B, C.

Consider the junction diode as ideal. The value of current flowing through AB is

The charge flowing through a resistance $R$ varies with time $t$ as $Q = at - bt^2,$ where $a$ and $b$ are positive constants. The total heat produced in $R$ is

A potentiometer wire is 100 cm long and a constant potential difference is maintained across it. Two cells are connected in series first to support one another and then in opposite direction. The balance points are obtained at 50 cm and 10 cm from the positive end of the wire in the two cases. The ratio of emfs is

A potentiometer is an accurate and versatile device to make electrical measurements of emf because the method involves

Figure shows a circuit that contains three identical resistors with resistance $R = 9.0 \Omega$ each, two identical inductors with inductance $L = 2.0$ mH each, and an ideal battery with emf $\varepsilon = 18V.$ The current $I$ through the battery just after the switch is closed is

The given electrical network is equivalent to

The resistance of a wire is R ohm. If it is melted and stretched to n times its original length, its new resistance will be

In the circuit shown in the figure, the input voltage $V_i$ is $20V, V_{BE} = 0$ and $V_{CE} = 0.$ The values of $I_B, I_C$ and $\beta$ are given by

In the combination of the following gates, the output $Y$ can be written in terms of inputs $A$ and $B$ as

Current sensitivity of a moving coil galvanometer is $5$ div/mA and its voltage sensitivity (angular deflection per unit voltage applied) is $20$ div/V. The resistance of the galvanometer is

A carbon resistor of $(47 \pm 4.7)$k$\Omega$ is to be marked with rings of different colours for its identification. The colour code sequence will be:

A set of ‘n’ equal resistors, of value ‘R’ each, are connected in series to a battery of emf ‘E’ and internal resistance ‘R’. The current drawn is I. Now, the ‘n’ resistors are connected in parallel to the same battery. Then the current drawn from battery becomes 10 I. The value of ‘n’ is:

A battery consists of a variable number ‘n’ of identical cells (having internal resistance ‘r’ each) which are connected in series. The terminals of the battery are short-circuited and the current I is measured. Which of the graphs shows the correct relationship between I and n?

Six similar bulbs are connected as shown in the figure with a DC source of emf $E$ and zero internal resistance. The ratio of power consumption by the bulbs when $(i)$ all are glowing and $(ii)$ in the situation when two from section A and one from section B are glowing, will be:

In the circuits shown below, the readings of voltmeters and the ammeters will be:

A resistance wire connected in the left gap of a metre bridge balances a $10 \Omega$ resistance in the right gap at a point which divides the bridge wire in the ratio $3:2.$ If the length of the resistance wire is $1.5$ m, then the length of $1 \Omega$ of the resistance wire is:

A charged particle having drift velocity of $7.5 \times 10^{-4}$ m/s in an electric field of $3 \times 10^{-10}$ V/m, has a mobility in $$m$^2$ V$^{-1}$ s$^{-1}$ of:

The solids which have the negative temperature coefficient of resistance are:

For the logic circuit shown, the truth table is:

Which of the following graphs represents the variation of resistivity $(\rho)$ with temperature $(T)$ for copper?

The color code of a resistance is given below. The values of resistance and tolerance, respectively, are:

Column - I gives certain physical terms associated with flow of current through a metallic conductor. Column - II gives some mathematical relations involving electrical quantities. Match Column - I and Column - II with appropriate relations.

The effective resistance of a parallel connection that consists of four wires of equal length, equal area of cross-section, and same material is $0.25 \Omega.$ What will be the effective resistance if they are connected in series?

In a potentiometer circuit a cell of EMF $1.5$ V gives a balance point at $36$ cm length of wire. If another cell of EMF $2.5$ V replaces the first cell, then at what length of the wire, the balance point occurs?

Three resistors having resistances $r_1, r_2,$ and $r_3$ are connected as shown in the given circuit. The ratio $\frac{i_3}{i_1}$ of currents in terms of resistances used in the circuit is:

For the given circuit, the input digital signals are applied at the terminals $A, B,$ and $C.$ What would be the output at the terminal $Y?$

A copper wire of length $10$ m and radius $\left( \frac{10}{\pi} \right)$ mm has electrical resistance of $10 \Omega.$ The current density in the wire for an electric field strength of $10$ V/m is:

As the temperature increases, the electrical resistance:

The truth table for the given logic circuit is:

A Wheatstone bridge is used to determine the value of an unknown resistance $X$ by adjusting the variable resistance $Y$ as shown in the figure. For the most precise measurement of $X,$ the resistances $P$ and$Q$:

If the galvanometer G does not show any deflection in the circuit shown, the value of R is given by:

The magnitude and direction of the current in the following circuit is:

Resistance of a carbon resistor determined from colour codes is $(22000 \pm 5 \% \Omega)$ The colour of the third band must be:

For the following logic circuit, the truth table is:

The resistance of platinum wire at 0°C is $2\Omega$ and $6.8\Omega$ at 80°C. The temperature coefficient of resistance of the wire is:

10 resistors, each of resistance $R$ are connected in series to a battery of emf $E$ and negligible internal resistance. Then those are connected in parallel to the same battery, the current is increased $n$ times. The value of $n$ is:

A logic circuit provides the output $Y$ as per the following truth table:

A wire of length $l$ and resistance $100\Omega$ is divided into 10 equal parts. The first 5 parts are connected in series while the next 5 parts are connected in parallel. The two combinations are again connected in series. The resistance of this final combination is:

Choose the correct circuit which can achieve the bridge balance.

The output (Y) of the given logic gate is similar to the output of an:

The terminal voltage of the battery, whose emf is $10V$ and internal resistance $1\Omega,$ when connected through an external resistance of $4\Omega$ as shown in the figure is: