A wire of resistance R and length L is cut into 5 equal parts. If these parts are joined parallely, then resultant resistance will be:

A wire of length 10 cm and radius √7 × 10^-4 m connected across the right gap of a meter bridge. When a resistance of 4.5 Ω is connected on the left gap by using a resistance box, the balance length is found to be at 60 cm from the left end. If the resistivity of the wire is R × 10^-7 Ω m, then value of R is:

Three voltmeters, all having different internal resistances are joined as shown in figure. When some potential difference is applied across A and B, their readings are V₁, V₂ and V₃. Choose the correct option.

Wheatstone bridge principle is used to measure the specific resistance (S₁) of given wire, having length L, radius r. If X is the resistance of wire, then specific resistance is: S₁ = X ((π r²)/L). If the length of the wire gets doubled then the value of specific resistance will be

The deflection in moving coil galvanometer falls from 25 divisions to 5 division when a shunt of 24 Ω is applied. The resistance of galvanometer coil will be:

A galvanometer having coil resistance 10 Ω shows a full scale deflection for a current of 3 mA. For it to measure a current of 8 A, the value of the shunt should be:

The electric current through a wire varies with time as I = I₀ + βt, where I₀ = 20 A and β = 3 A/s. The amount of electric charge crossed through a section of the wire in 20 s is:

In the given circuit, the current in resistance R₃ is i.

Two resistance of 100 Ω and 200 Ω are connected in series with a battery of 4 V and negligible internal resistance. A voltmeter is used to measure voltage across 100 Ω resistance, which gives reading as 1 V. The resistance of voltmeter must be ____ Ω.

When a potential difference V is applied across a wire of resistance R, it dissipates energy at a rate W. If the wire is cut into two halves and these halves are connected mutually parallel across the same supply, the same supply, the energy dissipation rate will become:

Two cells are connected in opposition as shown. Cell E₁ is of 8V emf and 2Ω internal resistance; the cell E₂ is of 2V emf and 4Ω internal resistance. The terminal potential difference of cell E₂ is ____ V.

An electric toaster has resistance of 60 Ω at room temperature (27 °C). The toaster is connected to a 220 V supply. If the current flowing through it reaches 2.75 A, the temperature attained by toaster is around: (if α = 2 × 10^-4 /°C)

A potential divider circuit is shown in figure. The output voltage V₀ is

By what percentage will the illumination of the lamp decrease if the current drops by 20% ?

The resistance per centimeter of a meter bridge wire is r, with X Ω resistance in left gap. Balancing length from left end is at 40 cm with 25 Ω resistance in right gap. Now the wire is replaced by another wire of 2r resistance per centimeter. The new balancing length for same settings will be at

The current in a conductor is expressed as I = 3t² + 4t³, where I is in Ampere and t is in second. The amount of electric charge that flows through a section of the conductor during t=1s to t=2s is ____ C.

A galvanometer has a resistance of 50 Ω and it allows maximum current of 5 mA. It can be converted into voltmeter to measure upto 100 V by connecting in series a resistor of resistance

The reading in the ideal voltmeter (V) shown in the given circuit diagram is

In a metre bridge when a resistance in the left gap is 2 Ω and unknown resistance in the right gap, the balance length is found to be 40 cm. On shunting the unknown resistance with 2 Ω, the balance length changes by:

To measure the temperature coefficient of resistivity α of a semiconductor, an electrical arrangement shown in the figure is prepared. The arm BC is made up of the semiconductor. The experiment is being conducted at 25 °C and resistance of the semiconductor arm is 3 mΩ. Arm BC is cooled at a constant rate of 2 °C/s. If the galvanometer G shows no deflection after 10 s, then α is:

In an ammeter, 5 % of the main current passes through the galvanometer. If resistance of the galvanometer is G, the resistance of ammeter will be:

Twelve wires each having resistance 2 Ω are joined to form a cube. A battery of 6 V emf is joined across point a and c. The voltage difference between e and f is ____ V.

To measure the internal resistance of a battery, potentiometer is used. For R = 10 Ω, the balance point is observed at ℓ = 500 cm and for R = 1 Ω the balance point is observed at ℓ = 400 cm. The internal resistance of the battery is approximately:

The resistances of the platinum wire of a platinum resistance thermometer at the ice point and steam point are 8 Ω and 10 Ω respectively. After inserting in a hot bath of temperature 400 °C, the resistance of platinum wire is:

In the experiment to determine the galvanometer resistance by half-deflection method, the plot of (1/θ) vs the resistance (R) of the resistance box is shown in the figure. The figure of merit of the galvanometer is ____ × 10^-1 A/division.

A wire of resistance R and radius r is stretched till its radius became r/2. If new resistance of the stretched wire is x, then value of x is

The value of unknown resistance (x) for which the potential difference between B and D will be zero in the arrangement shown, is:

Resistance of a wire at 0 °C, 100 °C and t °C is found to be 10 Ω, 10.2 Ω and 10.95 Ω respectively. The temperature t in Kelvin scale is ________.

In the given circuit, the terminal potential difference of the cell is:

The equivalent resistance between A and B is:

A galvanometer has a coil of resistance 200 Ω with a full scale deflection at 20 μA. The value of resistance to be added to use it as an ammeter of range (0 − 20) mA is:

Sliding contact of a potentiometer is in the middle of the potentiometer wire having resistance R_p = 1 Ω as shown in the figure. An external resistance of R_e = 2 Ω is connected via the sliding contact. The electric current in the circuit is:

Given below are two statements: Statement-I: The equivalent emf of two nonideal batteries connected in parallel is smaller than either of the two emfs. Statement-II: The equivalent internal resistance of two nonideal batteries connected in parallel is smaller than the internal resistance of either of the two batteries. In the light of the above statements, choose the correct answer from the options given below.

Which of the following resistivity (ρ) v/s temperature (T) curves is most suitable to be used in wire bound standard resistors?

Consider a moving coil galvanometer (MCG): A. The torsional constant in moving coil galvanometer has dimentions [ML² T^-2] B. Increasing the current sensitivity may not necessarily increase the voltage sensitivity. C. If we increase number of turns (N) to its double (2N), then the voltage sensitivity doubles. D. MCG can be converted into an ammeter by introducing a shunt resistance of large value in parallel with galvanometer. E. Current sensitivity of MCG depends inversely on number of turns of coil. Choose the correct answer from the options given below:

A galvanometer having a coil of resistance 30 Ω need 20 mA of current for full-scale deflection. If a maximum current of 3 A is to be measured using this galvanometer, the resistance of the shunt to be added to the galvanometer should be (30/X) Ω, where X is

A wire of resistance 9 Ω is bent to form an equilateral triangle. Then the equivalent resistance across any two vertices will be ________ ohm.

A wire of resistance R is bent into an equilateral triangle and an identical wire is bent into a square. The ratio of resistance between the two end points of an edge of the triangle to that of the square is

The battery of a mobile phone is rated as 4.2 V, 5800 mAh. How much energy is stored in it when fully charged?

In a moving coil galvanometer, two moving coils M₁ and M₂ have the following particulars: R₁ = 5 Ω, N₁ = 15, A₁ = 3.6 × 10^-3 m², B₁ = 0.25 T; R₂ = 7 Ω, N₂ = 21, A₂ = 1.8 × 10^-3 m², B₂ = 0.50 T. Assuming that torsional constant of the springs are same for both coils, what will be the ratio of voltage sensitivity of M₁ and M₂?

In the figure shown below, a resistance of 150.4 Ω is connected in series to an ammeter A of resistance 240 Ω. A shunt resistance of 10 Ω is connected in parallel with the ammeter. The reading of the ammeter is _____ mA.

A wire of length 25 m and cross-sectional area 5 mm² having resistivity of 2 × 10^-6 Ω m is bent into a complete circle. The resistance between diametrically opposite points will be

Two cells of emf 1 V and 2 V and internal resistances 2 Ω and 1 Ω, respectively, are connected in series with an external resistance of 6 Ω. The total current in the circuit is I₁. Now the same two cells in parallel configuration are connected to same external resistance. In this case, the total current drawn is I₂. The value of (I₁/I₂) is x/3. The value of x is

Current passing through a wire as function of time is given as I(t) = 0.02t + 0.01 A. The charge that will flow through the wire from t = 1 s to t = 2 s is

There are 'n' number of identical electric bulbs, each is designed to draw a power p independently from the mains supply. They are now joined in series across the mains supply. The total power drawn by the combination is:

A wire of resistance R is bent into a triangular pyramid as shown in figure with each segment having same length. The resistance between points A and B is R/n. The value of n is:

A battery with EMF E and internal resistance r is connected across a resistance R. The power consumption in R will be maximum when:

A meter bridge with two resistances R₁ and R₂ as shown in figure was balanced (null point) at 40 cm from the point P. The null point changed to 50 cm from the point P, when 16 Ω resistance is connected in parallel to R₂. The values of resistances R₁ and R₂ are ____.

A cylindrical conductor of length 2 m and area of cross-section 0.2 mm² carries an electric current of 1.6 A when its ends are connected to a 2 V battery. Mobility of electrons in the conductor is α × 10^-3 m²/V.s. The value of α is ____.

Two resistors 2 Ω and 3 Ω are connected in the gaps of bridge as shown in figure. The null point is obtained with the contact of jockey at some point on wire XY. When an unknown resistor is connected in parallel with 3 Ω resistor, the null point is shifted by 22.5 cm toward Y. The resistance of unknown resistor is ____ Ω.

Two resistors of 100 Ω each are connected in series with a 9 V battery. A voltmeter of 400 Ω resistance is connected to measure the voltage drop across one of the resistors. The voltmeter reading is ____ V.

In a meter bridge experiment to determine the value of unknown resistance, first the resistances 2 Ω and 3 Ω are connected in the left and right gaps of the bridge and the null point is obtained at a distance ℓ cm from the left. Now when an unknown resistance x Ω is connected in parallel to 3 Ω resistance, the null point is shifted by 10 cm to the right of wire. The value of unknown resistance x is ____ Ω.

A moving coil galvanometer of resistance 100 Ω shows a full scale deflection for a current of 1 mA. The value of resistance required to convert this galvanometer into an ammeter, showing full scale deflection for a current of 5 mA, is ____ Ω.

A regular hexagon is formed by six wires each of resistance r Ω and the corners are joined to the centre by wires of same resistance. If the current enters at one corner and leaves at the opposite corner, the equivalent resistance of the hexagon between the two opposite corners will be

For the two cells having same EMF E and internal resistance r, the current passing through the external resistor 6 Ω is same when both the cells are connected either in parallel or in series. The value of internal resistance r is ____ Ω.

In the potentiometer, when the cell in the secondary circuit is shunted with 4 Ω resistance, the balance is obtained at the length 120 cm of wire. Now when the same cell is shunted with 12 Ω resistance, the balance is shifted to a length of 180 cm. The internal resistance of cell is ____ Ω.

Two resistors of 200 Ω and 400 Ω are connected in series with a battery of 100 V. A bulb rated at 200 V, 100 W is connected across the 400 Ω resistance. The potential drop across the bulb is ____ V.

A voltmeter with internal resistance of x Ω can be used to measure upto 20 V. In order to increase its measuring range to 30 V, the required modification is to ____.

When an external resistance of 5 Ω is connected across terminals of a cell, a current of 0.25 A flows through it. When the 5 Ω resistor is replaced by a 2 Ω resistor, a current of 0.5 A flows through it. The internal resistance of the cell is ____ Ω.

Two cells of emfs 1 V and 2 V and internal resistance 2 Ω and 1 Ω, respectively connected in parallel, gave a current of 1 A through an external resistance. If the polarity of one cell is reversed, then value of current through the external resistance will be (α/5) A. The value of α is ____.

A moving coil of galvanometer when shunted with 2 Ω resistance gives a full scale deflection for a current of 500 mA. When a resistance of 470 Ω is connected in series it gives a full scale deflection for 10 V potential applied on it. The value of resistance of galvanometer coil is ____ Ω.