List of practice Questions

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? 

In the image below, three-letter words appear horizontally in a line, together, and in the normal reading order. The word SET has been highlighted for you in the first line. Including SET, how many 3-letter English words are there? 

How many squares appear in the image given below? 

Assume that patterns such as Pattern A and Pattern B are distinct. How many patterns appear in the Figure 1? 

Different shapes can be generated by sticking square tiles edge to edge. The figures below show examples of FOUR unique shapes generated by sticking FIVE square tiles in the given manner. Please note that shapes a, b, c and d of example 4 are NOT DIFFERENT from each other as any of them can be generated by simple operation(s) of rotation or flipping the others. 
What is the total number of unique shapes (including the four shown) that can be generated by sticking FIVE square tiles along their edges?