List of practice Questions

In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows: P= $\frac{a^3 b^2}{cd}$ % error in P is

The velocity of a projectile at the initial point A is (2i+3j) m/s. Its velocity (in m/s) at point B is

A stone falls freely under gravity. It covers distances $h_1, \, h_2 $ and $h_3$ in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between $h_1 , \,h_2 $ and $h_3$ is

Three blocks with masses m, 2m and 3m are connected by strings, as shown in the figure. After an upward force F is applied on block m, the masses move upward at constant speed v. What is the net force on the block of mass 2 m? (g is the acceleration due to gravity)

The upper half of an inclined plane of inclination θ is perfectly smooth while lower half is rough. A block starting from rest at the top of the plane will again come to rest at the bottom, if the coefficient of friction between the block and lower half of the plane is given by

A uniform force of $(3\hat{i}+\hat{j}) $newton acts on a particle of mass 2 kg. Hence the particle is displaced from position $(2\hat{i}+\hat{k})$ metre to position $(4\hat{i}+3\hat{j}-\hat{k})$ metre. The work done by the force on the particle is

Infinite number of bodies, each of mass 2 kg are situated on x-axis at distance 1 m, 2 m, 4 m, 8 m respectively, from the origin. The resulting gravitational potential due to this system at the origin will be

The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?

The wettability of a surface by a liquid depends primarily on

The molar specific heats of an ideal gas at constant pressure and volume are denoted by $C_p$ and $C_V$ respectively. If $ γ = \frac{C_P}{C_v}$ and R is the universal gas constant, then $C_V$ is equal to

A piece of iron is heated in a flame. It first becomes dull red then becomes reddish yellow and finally turn to white hot. The correct explanation for the above observation is possible by using

A gas is taken through the cycle A⇢B⇢C⇢A ,as shown. What is the net work done by the gas?

A body of mass w taken from the earth's surface to the height equal to twice the radius (R) of the earth. The change in potential energy of body will be

A small object of uniform density rolls up a curved surface with an initial velocity . It reaches up to a maximum height of $\frac{3v^2}{4g}$with respect to the initial position. The object is

A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as shown in figure. When string is cut, the initial angular acceleration of the rod is

An explosion breaks a rock into three parts in a horizontal plane. Two of them go off at right angles to each other. The first part of mass 1 kg moves with a speed of 12 $ms^{-1}$ and the second part of mass 2 kg moves with 8 $ms^{-1}$ speed. If the third part flies off with 4 $ms^{-1}$ speed, then its mass is

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of Cp/Cv for the gas is

In the given (V-T) diagram, what is the relation between pressures $P_1$ and $P_2$ ?

The amount of heat energy required to raise the temperature of 1 g of Helium at NTP, from $T_1K$ to $T_2K$ is

A wave travelling in the +ve x-direction having displacement along y-direction as 1 m, wavelength 2π in and frequency of $\frac1{π}$Hz is represented by

If we study the vibration of a pipe open at both ends, then the following statement is not true

A source of unknown frequency gives 4 beats/s, when sounded with a source of known frequency 250 Hz. The second harmonic of the source of unknown frequency gives five beats per second, when sounded with a source of frequency 513 Hz. The unknown frequency is

Two pith balls carrying equal charges are suspended from a common point by strings of equal length, the equilibrium separation between them is 7. Now the strings are rigidly clamped at half the height. The equilibrium separation between the balls now become

A, B and C are three points in a uniform electric field. The electric potential is

A wire of resistance 4Ω is stretched to twice its original length. The resistance of stretched wire would be