Mock Test 1 — Current Electricity

A wire of resistance $R$ is bent into a circle. Resistance between two diametrically opposite points:

A galvanometer of resistance $50$ Ω and full scale current $1$ mA. To convert into voltmeter reading $5$ V, the series resistance:

Two heaters $1$ kW each at $220$ V connected in parallel across $220$ V. Total heating rate:

The drift velocity of electrons in a conductor when current $I$ flows is proportional to:

Six equal resistors, each $R$, are connected to form a hexagon. Equivalent resistance between two adjacent vertices:

The EMF of a cell with internal resistance $1$ Ω is $2$ V. Current through external $9$ Ω:

Twelve $1$ Ω resistors form a cube. Resistance between diagonally opposite corners:

The temperature coefficient of resistance of a metal:

A potentiometer with potential gradient $0.5$ V/m gives balance length $40$ cm for a cell. EMF of cell:

The work done per coulomb in carrying a charge from infinity to a point at potential $V$:

Two resistors $4$ and $6$ Ω in parallel, then in series with $2.6$ Ω. Equivalent (in Ω):

A current of $2$ A flows through $5$ Ω for $10$ s. Heat dissipated (in J):

In a balanced Wheatstone bridge: $P = 5$ Ω, $Q = 10$ Ω, $R = 3$ Ω. Find $S$ (in Ω):

Assertion (A): Kirchhoff's loop rule follows from energy conservation. Reason (R): The total potential drop around any closed loop equals zero.

Assertion (A): The resistance of a conductor increases with temperature. Reason (R): Increased temperature causes more collisions of electrons with lattice ions.