List of practice Questions

A 750 Hz, 20 V source is connected to a resistance of $100\,\Omega$, an inductance of 0.1803 H and a capacitance of $10 \,?F$ all in series. Calculate the time in which the resistance (thermal capacity $2\,J^{\circ}C^{-1}$) will get heated by $10^{\circ}C$.
A $60\,\mu F$ capacitor is connected to a $110\,V (rms)$, $60\,Hz$ ac supply, the net power absorbed by the circuit in one complete cycle is
A $60\,\mu F$ capacitor is connected to a $110\,V (rms)$, $60\,Hz$ ac supply. The rms value of current in the circuit is
How many radial nodes are there in 5f orbital ?
A 500 g toothpaste sample gas 0.2 h fluoride concentration. What is the concentration of $F^-$ ions in terms of ppm level ?
A boat which has a speed of $5 \, km \, h^{- 1}$ in still water crosses a river of width $1 \, km$ along the shortest possible path in $15$ minutes. The velocity of the river water in $km \, h^{- 1}$ is
An artillery piece which consistently shoots its shells with the same muzzle speed has a maximum range $R$ . To hit a target which is $\frac{R}{2}$ from the gun and on the same level, the angle of elevation of the gun should be
A 5 m aluminium wire $(Y = 7\times10^{10} Nm^{-2})$ of diameter 3 mm supports a 40 kg mass. In order to have the same elongation in a copper wire $(T =12\times10^{10}Nm^{-2})$ of the same length under the same weight, the diameter (in mm) should be
A $44\,mH$ inductor is connected to $220\,V$, $50\,Hz$ ac supply. The rms value of the current in the circuit is
A ray of light strikes a transparent rectangular slab of refractive index $\sqrt 2$ at an angle of incidence of $45^{\circ}$. The angle between the reflected and refracted rays is
Refraction of light from air to glass and from air to water are shown in figure (i) and figure (ii) below. The value of the angle $\theta$ in the case of refraction as shown in figure (iii) will be
A diminished image of an object is to be obtained on a screen 1.0 m away from it. This can be achieved by approximately placing
A $3\,kg$ ball strikes a heavy rigid wall with a speed of $10\,m /s$ at an angle of $60\,^\circ$ with the wall. It gets reflected with the same speed (in the same plane) at an angle of $60\,^\circ$ with wall. If the ball is in contact with the wall for $0.2\, s$, the average force exerted on the ball by wall is
A 220V, 50 Hz a.c. generator is connected to an inductor and a $50\Omega$ resistance in series . The current in the circuit is 1.0A . The P.D. across inductor is
$A$ $2 \,m$ long solenoid with diameter $2\, cm$ and $2000$ turns has a secondary coil of $1000$ turns wound closely near its midpoint. The mutual inductance between the two coils is
A stone is thrown at $25 \, \text{m} / \text{s}$ at $53^{o}$ above the horizontal. At what time its velocity is at $45^{o}$ below the horizontal?
Consider the situation shown in the figure. The wall is smooth but the surfaces of blocks $A$ and $B$ in contact are rough. The friction on $A$ due to $B$ in equilibrium
The displacement time graph of a moving particle is shown below The instantaneous velocity of the particle is negative at the point
The electromagnetic waves travel in free space with the velocity of
A ball rolls off the top of stair-way with a horizontal velocity of magnitude $1.8 \, m \, s^{- 1}.$ The steps are $0.20 \, \, \text{m}$ high and $0.20 \, \, \text{m}$ wide. Which step will the ball hit first?
A table fan, rotating at a speed of $2400 \, \, \text{r} \text{p} \text{m}$ is switched off and the resulting variation of the rpm with time is shown in the figure. The total number of revolutions of the fan before it comes to rest is
A 2.24 L cylinder of oxygen at N.T.P. is found to develop a leakage. When the leakage was plugged the pressure dropped to 570 mm of Hg. The number of moles of gas that escaped will be
A $2 \, \, \text{kg }$ stone tied at the end of a string $1 m$ long is whirled along a vertical circle at a constant speed of $4 \, m \, s^{- 1}$ . The tension in the string has a value of $52 N$ when the stone is
The dimensional formula for the modulus of elasticity is same as that for:
Which of the modulus of elasticity is involved in compressing a rod to decrease its length ?