List of practice Questions

A conductor wire having $10^{29}$ free electrons/$m^{3}$ carries a current of $20\,A$. If the cross-section of the wire is $1\,mm^{2}$, then the drift velocity of electrons will be ....... $(e\, =\, 1.6 \times10^{-19}C).$
A meter bridge is set-up as shown in figure, to determine an unknown resistance $X$ using a standard $10 \Omega $ resistor: The galvanometer shows null point when tapping-key is at $52\, cm$ mark. The end-corrections are $1\, cm$ and $2 \,cm$ respectively for the ends $A$ and $B$. The determined value of $X$ is
Kirchhoff's $1^{st}$ law for analysis of current at a junction in a circuit is based on
Two wires $A$ and $B$ of equal masses and of the same metal are taken. The diameter of the wire $A$ is half the diameter of the wire $B$. If the resistance of wire $A$ be $24\, \Omega $ , the resistance of $B$ will be
A uniform wire of resistance $R$, of the radius $r$ is uniformly drawn until its radius is reduced to $r/ n$, Its new resistance is
A resistor of $6 \, k \Omega$ with tolerance $10\%$ and another resistance of $4\, k \Omega$ with tolerance $10\%$ are connected in series. The tolerance of the combination is about
A solution of two liquids boils at a temperature more than the boiling point of either of them. Hence, the binary solution shows
Which of the following is an example of Maximum boiling azeotrope?
A 5% solution of cane sugar (molar mass 342) is isotonic with 1% of a solution of an unknown solute. The molar mass of unknown solute in g/mol is:
To prepare 2 $dm^3$ of decinormal solution of oxalic acid, the mass of oxalic acid required is
An object of mass 0.2 kg executes simple harmonic motion along $x$-axis with frequency of 25/$\pi$ Hz. At the position $x$ = 0.04 m, the object has a kinetic energy of 0.5 J and potential energy of 0.4 J. The amplitude of oscillation is equal to
A wooden block performs SHM on a frictionless surface with frequency $v_0$. The block carries a charge $+Q$ on its surface. If now a uniform electric field $E$ is switched-on as shown, then the $SHM$ of the block will be
A point mass is subjected to two simultaneous sinusoidal displacements in x-direction, $ x_1 (t) = A sin \omega t $ and $x_2(t) = Asin\bigg( \omega t + \frac{ 2 \pi }{ 3} \bigg) $ Adding a third sinusoidal displacement $x_3(t)=B sin(\omega l + \Phi) $ brings the mass to a complete rest. The values of B and $\Phi $ are
A person measures the time period of a simple pendulum inside a stationary lift and finds it to be $T$. If the lift starts accelerating upwards with an acceleration $g/3$, the time period of the pendulum will be
During the phenomenon of resonance
The potential energy of a weightless spring compressed by a distance a is proportional to
A spring of force constant $k $ is cut into two pieces such that one piece is double the length of the other. Then the longer piece will have a force constant of
A particle at the end of a spring executes simple harmonic motion with a period $T_1$, while the corresponding period for another spring is $T_2$ . If the period of oscillation with the two springs in parallel is $T$, then
Which one of the following represents simple harmonic motion?
If maximum speed of a particle in SHM is given by $V_m$, what is its average speed?
In simple harmonic motion, loss of kinetic energy is proportional to
Which of the following equation does not represent a SHM?
Two pendulum have time period T and $ \frac{5T}{4} $ they start SHM at the same time form the mean position. What will be the phase difference between them after the bigger pendulum completed one oscillation
An open pipe of length 33 cm resonates with frequency of 1000 Hz. If the speed of sound is $ 333\,m{{s}^{-1}}, $ then this frequency is
In a simple pendulum the breaking strength of the string is double the weight of the bob. The bob is released from rest when the string is horizontal. The string breaks when it makes an angle $ \theta $ With the vertical