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In the given figure, the value of \( V_{0} \) will be ______ \( \text{V} \).

A \( 1 \, \text{m} \) long copper wire carries a current of \( 1 \, \text{A} \). If the cross section of the wire is \( 2.0 \, \text{mm}^2 \) and the resistivity of copper is \( 1.7 \times 10^{-8} \, \Omega \, \text{m} \), the force experienced by moving electron in the wire is _____ \( \times 10^{-23} \, \text{N} \). \([\text{Charge on electron} = 1.6 \times 10^{-19} \, \text{C}]\)

A battery of \( 6\,\text{V} \) is connected to the circuit as shown below. The current \( I \) drawn from the battery is:

What will be the most suitable combination of three resistors \( A = 2\Omega \), \( B = 4\Omega \), \( C = 6\Omega \) so that \( \left(\frac{22}{3}\right)\Omega \) is equivalent resistance of combination?

For the network shown below, the value of \( V_B - V_A \) is __________ \( \text{V} \).

A teacher in his physics laboratory allotted an experiment to determine the resistance \( (G) \) of a galvanometer. Students took the observations for \( \frac{1}{3} \) deflection in the galvanometer. Which of the below is true for measuring value of \( G \)?

Two sources of equal emfs are connected in series. This combination is connected to an external resistance \( R \). The internal resistances of the two sources are \( r_1 \) and \( r_2 \) (\( r_1 > r_2 \)). If the potential difference across the source of internal resistance \( r_1 \) is zero, then the value of \( R \) will be:

A current of \( 15 \,\text{mA} \) flows in the circuit as shown in figure. The value of potential difference between the points \( A \) and \( B \) will be:

Resistance of the wire is measured as \( 2 \, \Omega \) and \( 3 \, \Omega \) at \( 10^{\circ}\text{C} \) and \( 30^{\circ}\text{C} \) respectively. Temperature co-efficient of resistance of the material of the wire is:

An aluminium wire is stretched to make its length, \( 0.4\% \) larger. The percentage change in resistance is:

Two metallic wires of identical dimensions are connected in series. If \( \sigma_1 \) and \( \sigma_2 \) are the conductivities of the these wires respectively, the effective conductivity of the combination is:

As shown in the figure, in steady state, the charge stored in the capacitor is ________ \( \times 10^{-6} \, \text{C} \).

In a potentiometer arrangement, a cell of emf \( 1.20 \, \text{V} \) gives a balance point at \( 36 \, \text{cm} \) length of wire. This cell is now replaced by another cell of emf \( 1.80 \, \text{V} \). The difference in balancing length of potentiometer wire in above conditions will be __________ \( \text{cm} \).

Given below are two statements:

In the light of the above statements, choose the most appropriate answer from the option given below:

If \( n \) represents the actual number of deflections in a converted galvanometer of resistance \( G \) and shunt resistance \( S \). Then the total current \( I \) when its figure of merit is \( K \) will be:

Eight copper wire of length \( l \) and diameter \( d \) are joined in parallel to form a single composite conductor of resistance \( R \). If a single copper wire of length \( 2l \) have the same resistance \( (R) \) then its diameter will be ________ \( d \).

\( (A) \) The drift velocity of electrons decreases with the increase in the temperature of conductor.
\( (B) \) The drift velocity is inversely proportional to the area of cross-section of given conductor.
\( (C) \) The drift velocity does not depend on the applied potential difference to the conductor.
\( (D) \) The drift velocity of electron is inversely proportional to the length of the conductor.
\( (E) \) The drift velocity increases with the increase in the temperature of conductor.
Choose the correct answer from the options given below:

In the given figure of meter bridge experiment, the balancing length \( AC \) corresponding to null deflection of the galvanometer is \( 40 \, \text{cm} \). the balancing length, if the radius of the wire \( AB \) is doubled, will be _____ \( \text{cm} \).

A wire of resistance \( R_1 \) is drawn out so that its length is increased by twice of its original length. The ratio of new resistance to original resistance is:

Two identical cells each of emf \( 1.5 \, \text{V} \) are connected in parallel across a parallel combination of two resistors each of resistance \( 20 \, \Omega \). A voltmeter connected in the circuit measures \( 1.2 \, \text{V} \). The internal resistance of each cell is:

The total current supplied to the circuit as shown in figure by the \( 5 \, \text{V} \) battery is ______ \( \text{A} \).

An electrical bulb rated \( 220 \, \text{V} \), \( 100 \, \text{W} \), is connected in series with another bulb rated \( 220 \, \text{V} \), \( 60 \, \text{W} \). If the voltage across combination is \( 220 \, \text{V} \), the power consumed by the \( 100 \, \text{W} \) bulb will be about ______ \( \text{W} \).

A potentiometer wire of length \( 10 \, \text{m} \) and resistance \( 20 \, \Omega \) is connected in series with a \( 25 \, \text{V} \) battery and an external resistance \( 30 \, \Omega \). A cell of emf \( E \) in secondary circuit is balanced by \( 250 \, \text{cm} \) long potentiometer wire. The value of \( E \) (in volt) is \( \frac{x}{10} \). The value of \( x \) is ________.

Two cells of same emf but different internal resistance \( r_1 \) and \( r_2 \) are connected in series with a resistance \( R \). The value of resistance \( R \), for which the potential difference across second cell is zero, is:

In a meter bridge experiment, for measuring unknown resistance ‘\( S \)’, the null point is obtained at a distance \( 30 \, \text{cm} \) from the left side as shown at point \( D \). If \( R \) is \( 5.6 \, \text{k}\Omega \), then the value of unknown resistance ‘\( S \)’ will be ______ \( \Omega \).

Two resistors are connected in series across a battery as shown in figure. If a voltmeter of resistance \( 2000 \, \Omega \) is used to measure the potential difference across \( 500 \, \Omega \) resistor, the reading of the voltmeter will be ______ \( \text{V} \).

Current measured by the ammeter \( A \) in the reported circuit when no current flows through \( 10 \, \Omega \) resistance, will be ________ \( \text{A} \).

All resistances in figure are \( 1\,\Omega \) each. The value of current 'I' is \( \frac{a}{5} \) \( \text{A} \). The value of \( a \) is ____________.

A \( 1\,\text{m} \) long wire is broken into two unequal parts \( X \) and \( Y \). The \( X \) part of the wire is stretched into another wire \( W \). Length of \( W \) is twice the length of \( X \) and the resistance of \( W \) is twice that of \( Y \). Find the ratio of length of \( X \) and \( Y \).

Two coils require \( 20 \) minutes and \( 60 \) minutes respectively to produce same amount of heat energy when connected separately to the same source. If they are connected in parallel arrangement to the same source; the time required to produce same amount of heat by the combination of coils, will be ________ min.

A resistor develops \( 300 \, \text{J} \) of thermal energy in \( 15 \, \text{s} \), when a current of \( 2 \, \text{A} \) is passed through it. If the current increases to \( 3 \, \text{A} \), the energy developed in \( 10 \, \text{s} \) is __________ \( \text{J} \).

The combination of two identical cells, whether connected in series or parallel combination provides the same current through an external resistance of \( 2 \, \Omega \). The value of internal resistance of each cell is:

A cell, shunted by a \( 8 \, \Omega \) resistance, is balanced across a potentiometer wire of length \( 3 \, \text{m} \). The balancing length is \( 2 \, \text{m} \) when the cell is shunted by \( 4 \, \Omega \) resistance. The value of internal resistance of the cell will be ____ \( \Omega \).

As shown in the figure, a potentiometer wire of resistance \( 20 \, \Omega \) and length \( 300 \, \text{cm} \) is connected with resistance box \( (\text{R.B.}) \) and a standard cell of emf \( 4 \, \text{V} \). For a resistance '\( R \)' of resistance box introduced into the circuit, the null point for a cell of \( 20 \, \text{mV} \) is found to be \( 60 \, \text{cm} \). The value of 'R' is _______ \( \Omega \).

The equivalent resistance between points \( A \) and \( B \) in the given network is:

The current density in a cylindrical wire of radius \( r = 4.0 \,\text{mm} \) is \( 1.0 \times 10^{6} \,\text{A}/\text{m}^{2} \). The current through the outer portion of the wire between radial distances \( \frac{r}{2} \) and \( r \) is \( x \pi \,\text{A} \); where \( x \) is ________.

The current \( I \) flowing through the given circuit will be __________ \( \text{A} \).

The variation of applied potential and current flowing through a given wire is shown in figure. The length of wire is \( 31.4 \, \text{cm} \). The diameter of wire is measured as \( 2.4 \, \text{cm} \). The resistivity of the given wire is measured as \( x \times 10^{-3} \, \Omega \, \text{cm} \). The value of \( x \) is __________. [Take \( \pi = 3.14 \)].

In the given circuit ‘\( a \)’ is an arbitrary constant. The value of \( m \) for which the equivalent circuit resistance is minimum, will be \( \sqrt{\frac{x}{2}} \). The value of \( x \) is _______.

In a potentiometer arrangement, a cell gives a balancing point at \( 75 \, \text{cm} \) length of wire. This cell is now replaced by another cell of unknown emf. If the ratio of the emf's of two cells respectively is \( 3:2 \), the difference in the balancing length of the potentiometer wire in above two cases will be ________ \( \text{cm} \).

A meter bridge setup is shown in the figure. It is used to determine an unknown resistance \( R \) using a given resistor of \( 15 \, \Omega \). The galvanometer (\( G \)) shows null deflection when tapping key is at \( 43 \, \text{cm} \) mark from end A. If the end correction for end A is \( 2 \, \text{cm} \), then the determined value of \( R \) will be ________ \( \Omega \).

The length of a given cylindrical wire is increased to double of its original length. The percentage increase in the resistance of the wire will be ________________\( \% \).

The current \( I \) in the given circuit will be:

The current density in a cylindrical wire of radius \( 4 \, \text{mm} \) is \( 4 \times 10^{6} \, \text{A m}^{-2} \). The current through the outer portion of the wire between radial distances \( \frac{R}{2} \) and \( R \) is __________ \( \pi \, \text{A} \).

Water falls from a \( 40 \, \text{m} \) high dam at the rate of \( 9 \times 10^4 \, \text{kg} \) per hour. Fifty percentage of gravitational potential energy can be converted into electrical energy. Using this hydro electric energy number of \( 100 \, \text{W} \) lamps, that can be lit, is: (Take \( g = 10 \, \text{m s}^{-2} \))

A potentiometer wire of length \( 300 \, \text{cm} \) is connected in series with a resistance \( 780 \, \Omega \) and a standard cell of emf \( 4 \, \text{V} \). A constant current flows through potentiometer wire. The length of the null point for cell of emf \( 20 \, \text{mV} \) is found to be \( 60 \, \text{cm} \). The resistance of the potentiometer wire is __________ \( \Omega \).

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JEE Main 2022 27th June Evening Shift

In the given circuit ‘\( a \)’ is an arbitrary constant. The value of \( m \) for which the equivalent circuit resistance is minimum, will be \( \sqrt{\frac{x}{2}} \). The value of \( x \) is _______.