In some appropriate units, time (t) and position (x) relation…
In some appropriate units, time (t) and position (x) relation of a moving particle is given by $t=x^{2}+x$ The acceleration of the particle is
In some appropriate units, time (t) and position (x) relation of a moving particle is given by $t=x^{2}+x$ The acceleration of the particle is
An oxygen cylinder of volume 30 litre has 18.20 moles of oxygen. After some oxygen is withdrawn from the cylinder, its gauge pressure drops to 11 atmospheric pressure at temperature $27^{\circ}C.$ The mass of the oxygen withdrawn from the cylinder is nearly equal to:[Given, $R=\frac{100}{12}Jmol^{-1}K^{-1},$ and molecular mass of $O_{2}=32$, 1 atm pressure $=1.01\times10^{5}N/m^{2}$]
In a certain camera, a combination of four similar thin convex lenses are arranged axially in contact. Then the power of the combination and the total magnification in comparison to the power (p) and magnification (m) for each lens will be, respectively
A 2 amp current is flowing through two different small circular copper coils having radii ratio 1: 2. The ratio of their respective magnetic moments will be

AB is a part of an electrical circuit (see figure). The potential difference $V_{A}-V_{B}$ at the instant when current $i=2~A$ and is increasing at a rate of 1 amp/second is:
A ball of mass 0.5 kg is dropped from a height of 40 m. The ball hits the ground and rises to a height of 10 m. The impulse imparted to the ball during its collision with the ground is (Take $g=9.8~m/s^{2})$
The electric field in a plane electromagnetic wave is given by $E_{z}=60~\cos(5x+1.5\times10^{9}t)V/m.$ Then expression for the corresponding magnetic field is (here subscripts denote the direction of the field):

The output (Y) of the given logic implementation is similar to the output of an/a ____ gate.
A bob of heavy mass m is suspended by a light string of length l. The bob is given a horizontal velocity $v_{0}$ as shown in figure. If the string gets slack at some point P making an angle $\theta$ from the horizontal, the ratio of the speed v of the bob at point P … Read more

The current passing through the battery in the given circuit, is: