A galvanometer of resistance 100 $$\Omega$$ has 50 divisions on its scale and has sensitivitv of 20 $$\mu$$A/division. It is to be converted to a voltmeter with three ranges of 0-2V, 0-10 V and 0-20 V. The appropriate circuit to do so is

To verify Ohm's law, a student connects the voltmeter across the battery as, shown in the figure. The measured voltage is plotted as a function of the current, and the following graph is obtained : If V0 is almost zero, identify the correct statement :

A moving coil galvanometer, having a resistance G, produces full scale deflection when a current Ig flows through it. This galvanometer can be converted into (i) an ammeter of range 0 to I0(I0 > Ig) by connecting a shunt resistance RA to it and (ii) into a voltmeter of range 0 to V (V = GI0) by connecting a series resistance RV to it. Then,

In the given circuit diagram, the currents, I1 = – 0.3 A, I4 = 0.8 A and I5 = 0.4 A, are flowing as shown. The currents I2, I3 and I6, respectively, are :

In a meter bridge, the wire of length 1 m has a non-uniform cross-section such that, the variation {{dR} \over {d\ell }} of its resistance R with length $$\ell$$ is {{dR} \over {d\ell }} $$\propto$$ {1 \over {\sqrt \ell }}. Two equal resistances are connected as shown in the figure. The galvanometer has zero deflection when the jockey is at point P. What is the length AP ?

Two electric bulbs, rated at (25 W, 220 V) and (100 W, 220 V), are connected in series across a 220 V voltage source. If the 25 W and 100 W bulbs draw powers P1 and P2 respectively, then :

When the switch S, in the circuit shown, is closed, then the value of current i will be :

A resistance is shown in the figure. Its value and tolerance are given respectively by :

Drift speed of electrons, when 1.5 A of current flows in a copper wire of cross section 5 mm2, is $$\upsilon$$. If the electron density in copper is 9 $$\times$$ 1028/m3 the value of $$\upsilon$$. in mm/s is close to (Take charge of electron to be = 1.6 $$\times$$ 10$$-$$19C)

A carbon resistance has a following colour code. What is the value of the resistance ?

In the given circuit the the internal resistance of the 18 V cell is negligible. If R1 = 400 $$\Omega$$, R3 = 100 $$\Omega$$ and R4 = 500 $$\Omega$$ and the reading of an ideal voltmeter across R4 is 5V, then the value of R2 will be :

A uniform metallic wire has a resistance of 18 $$\Omega$$ and is bent into an equilateral triangle. Then, the resistance between any two vertices of the triangle is -

A 2 W carbon resistor is color coded with green, black, red and brown respectively. The maximum current which can be passed through this resistor is -

In the given circuit the cells have zero internal resistance. The currents (in Amperes) passing through resistance R1 and R2 respectively, are -

A potentiometer wire AB having length L and resistance 12 r is joined to a cell D of emf $$\epsilon$$ and internal resistance r. A cell C having emf $$\epsilon$$/2 and internal resistance 3r is connected. The length AJ at which the galvanometer as shown in figure shows no deflection is –

A current of 2 mA was passed through an unknown resistor which dissipated a power of 4.4 W. Dissipated power when an ideal power supply of 11 V is connected across it is -

The actual value of resistance R, shown in the figure is 30$$\Omega$$. This is measuered in an experiment as shown using the standard formula R = {V \over {\rm I}}, where V and I are the readings of the voltmeter and ammeter, respectively. If the measured value of R is 5% less, then the internal resistance of the voltmeter is -

Two equal resistances when connected in series to a battery, consume electric power of 60 W. If these resistances are now connected in parallel combination to the same battery, the electric power consumed will be :

The resistance of the meter bridge AB in given figure is 4 $$\Omega$$. With a cell of emf $$\epsilon$$ = 0.5 V and rheostat resistance Rh = 2 $$\Omega$$ the null point is obtained at some point J. When the cell is replaced by another one of emf $$\epsilon$$ = $$\epsilon$$2 the same null point J is found for Rh = 6 $$\Omega$$. The emf $$\epsilon$$2 is, :

In a Wheatstone bridge(see fig.), Resistances P and Q are approximately equal. When R = 400 $$\Omega$$, the bridge is balanced. On interchanging P and Q, the value of R, for balance, is 405 $$\Omega$$. The value of X is close to :