The resistance of a wire is 5 $$\Omega$$. It's new resistance in ohm if stretched to 5 times of it's original length will be :

A uniform metallic wire carries a current 2 A, when 3.4 V battery is connected across it. The mass of uniform metallic wire is 8.92 $$\times$$ 10$${}^{-3}$$ kg, density is 8.92 $$\times$$ 10$${}^3$$ kg/m$${}^3$$ and resistivity is 1.7 $$\times$$ 10$${}^{-8}\Omega$$-$$\mathrm{m}$$. The length of wire is :

A cell of emf 90 V is connected across series combination of two resistors each of 100$$\Omega$$ resistance. A voltmeter of resistance 400$$\Omega$$ is used to measure the potential difference across each resistor. The reading of the voltmeter will be :

As shown in the figure, a network of resistors is connected to a battery of 24V with an internal resistance of 3 $$\Omega$$. The currents through the resistors R$${}_4$$ and R$${}_5$$ are I$${}_4$$ and I$${}_5$$ respectively. The values of I$${}_4$$ and I$${}_5$$ are :

For designing a voltmeter of range $50\mathrm{V}$ and an ammeter of range $10\mathrm{mA}$ using a galvanometer which has a coil of resistance $54\Omega$ showing a full scale deflection for $1\mathrm{mA}$ as in figure. (A) for voltmeter $R\approx 50\mathrm{k}\Omega$ (B) for ammeter $\mathrm{r}\approx 0.2\Omega$ (C) for ammeter $\mathrm{r}=6\Omega$ (D) for voltmeter $R\approx 5\mathrm{k}\Omega$ (E) for voltmeter $R\approx 500\Omega$ Choose the correct answer from the options given below:

Given below are two statements: Statement I : The equivalent resistance of resistors in a series combination is smaller than least resistance used in the combination. Statement II : The resistivity of the material is independent of temperature. In the light of the above statements, choose the correct answer from the options given below :

Different combination of 3 resistors of equal resistance $$\mathrm{R}$$ are shown in the figures. The increasing order for power dissipation is:

A wire of resistance $$160\Omega$$ is melted and drawn in a wire of one-fourth of its length. The new resistance of the wire will be

The current flowing through R$${}_2$$ is :

Two identical heater filaments are connected first in parallel and then in series. At the same applied voltage, the ratio of heat produced in same time for parallel to series will be:

The current sensitivity of moving coil galvanometer is increased by $$25\%$$. This increase is achieved only by changing in the number of turns of coils and area of cross section of the wire while keeping the resistance of galvanometer coil constant. The percentage change in the voltage sensitivity will be:

The equivalent resistance of the circuit shown below between points a and b is :

The equivalent resistance between A and B as shown in figure is:

Figure shows a part of an electric circuit. The potentials at points $$a,b$$ and $$c$$ are $$30\mathrm{V},12\mathrm{V}$$ and $$2\mathrm{V}$$ respectively. The current through the $$20\Omega$$ resistor will be,

A student is provided with a variable voltage source $$\mathrm{V}$$, a test resistor $$R_T=10\Omega$$, two identical galvanometers $$G_1$$ and $$G_2$$ and two additional resistors, $$R_1=10M\Omega$$ and $$R_2=0.001\Omega$$. For conducting an experiment to verify ohm's law, the most suitable circuit is:

100 balls each of mass $$\mathrm{m}$$ moving with speed $$v$$ simultaneously strike a wall normally and reflected back with same speed, in time $$\mathrm{t}\mathrm{s}$$. The total force exerted by the balls on the wall is

A machine gun of mass $10\mathrm{kg}$ fires $20\mathrm{g}$ bullets at the rate of 180 bullets per minute with a speed of $100\mathrm{m}{\mathrm{s}}^{-1}$ each. The recoil velocity of the gun is

As per the given figure, a small ball P slides down the quadrant of a circle and hits the other ball Q of equal mass which is initially at rest. Neglecting the effect of friction and assume the collision to be elastic, the velocity of ball Q after collision will be : (g = 10 m/s2)

The figure represents the momentum time ($$\mathrm{p}-\mathrm{t}$$) curve for a particle moving along an axis under the influence of the force. Identify the regions on the graph where the magnitude of the force is maximum and minimum respectively? If $$\left(t_3-t_2\right)<t_1$$

A ball of mass $$200\mathrm{g}$$ rests on a vertical post of height $$20\mathrm{m}$$. A bullet of mass $$10\mathrm{g}$$, travelling in horizontal direction, hits the centre of the ball. After collision both travels independently. The ball hits the ground at a distance $$30\mathrm{m}$$ and the bullet at a distance of $$120\mathrm{m}$$ from the foot of the post. The value of initial velocity of the bullet will be (if $$g=10\mathrm{m}/{\mathrm{s}}^2$$) :