List of practice Questions

The temperature of equal masses of three different liquids A, B, and C are 12°C, 19°C, and 28°C respectively. The temperature when A and B are mixed is 16°C and when B and C are mixed is 23°C. The temperature when A and C are mixed is:

An alternating voltage of 220 V, 50 Hz frequency is applied across a capacitor of capacitance 2 μF. The impedance of the circuit is:

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

In Young's double slit experiment, intensity at a point is $ \dfrac{1}{4} $ of the maximum intensity. Angular position of this point is (separation between slits is $ d $):

Two batteries of emf 4 V and 8 V with internal resistance 1 $ \Omega $ and 2 $ \Omega $ are connected in a circuit with a resistance of 9 $ \Omega $ as shown in the figure. The current and potential difference between the points P and Q are:

The horizontal component of the earth’s magnetic field is $ 3.6 \times 10^{-5} $ tesla where the dip angle is 60°. The magnitude of the earth’s magnetic field is:

The velocity of water in a river is 18 km/hr near the surface. If the river is 5 m deep, find the shearing stress between the horizontal layers of water. The coefficient of viscosity of water is $ 10^{-2} $ poise:

The magnetic field in a travelling electromagnetic wave has a peak value of 20 nT. The peak value of electric field strength is:

The I-V characteristic of a diode is shown in the figure. The ratio of forward to reverse bias resistance is:

A metallic sphere is placed in a uniform electric field. The line of force follow the path (s) shown in the figure as:

Electron in hydrogen atom first jumps from third excited state to second excited state and then from second excited to the first excited state. The ratio of the wavelength $ \lambda_1 : \lambda_2 $ emitted in the two cases is:

In a common emitter transistor amplifier $ \beta = 60 $, $ R_o = 5000 \, \Omega $ and internal resistance of a transistor is 500 $ \Omega $. The voltage amplification of amplifier will be:

A machine gun has a mass 5 kg. It fires 50 gram bullets at the rate of 30 bullets per minute at a speed of 400 m/s. What force is required to keep the gun in position?

The activity of a radioactive sample is measured as 9750 counts per minute at $ t = 0 $ and as 975 counts per minute at $ t = 5 $ minutes. The decay constant is approximately:

The equivalent capacitance between a and b for the combination of capacitors shown in figure where all capacitances are in microfarad is:

Two coils have a mutual inductance 0.005 H. The current changes in the first coil according to equation $ I = I_0 \sin \omega t $, where $ I_0 = 10A $ and $ \omega = 100\pi \, \text{radian/sec} $. The maximum value of e.m.f. in the second coil is:

The resistance of a wire is 'R' ohm. If it is melted and stretched to 'n' times its original length, its new resistance will be:

A coil of 40 henry inductance is connected in series with a resistance of 8 ohm and the combination is joined to the terminals of a 2 volt battery. The time constant of the circuit is:

Which of the following is the correct lens formula?

The magnetic field at a point due to a current carrying conductor is directly proportional to:

Tangents drawn from the point $(-8, 0)$ to the parabola $y^2 = 8x$ touch the parabola at $P$ and $Q$ . If $F$ is the focus of the parabola, then the area of the triangle $PFQ$ (in s units) is equal to :

Given below are three statements, based on which some conclusions have been drawn. If the statements are TRUE, which of the conclusions can be said to be TRUE?
Statement 1: Visuals can either be abstract or non-abstract.
Statement 2: All logos are abstract visuals.
Statement 3: All photographs are non-abstract visuals.

As shown in Figure 1, in chess, a knight moves 2 squares in one direction and one square at right angle to that direction. Figure 2 shows 15 pawns on the chess board. What is the minimum number of moves that the knight needs to capture all the pawns?

In a secret code, if 3 becomes 1312, 4 becomes 1716, 5 becomes 2120, 6 becomes 2524, 7 becomes 2928 and 8 becomes 3332 then what would 9 become?

As shown in Figure 1, in chess, a knight moves 2 squares in one direction and one square at right angle to that direction. Figure 2 shows 15 pawns on the chess board. What is the minimum number of moves that the knight needs to capture all the pawns?