List of practice Questions

First diffraction minima due to a single slit of width \(10^{-4}\) cm is at \(\theta = 30^\circ\). Then wavelength of the light used is
When the inputs of a two input logic gate are 0 and 0, the output is 1. When the inputs are 1 and 0 the output is 0. The logic gate is of the type
A stationary police car sounds a siren with a frequency of 990 Hz. If the speed of sound is 330 m/s, an observer, driving towards the car with a speed of 33 m/s, will hear a frequency of
For \( f \)-orbital the values of \( m \) are
Two equal charges \(q\) are kept fixed at \(-a\) and \(+a\) along the \(x\)-axis. A particle of mass \(m\) and charge \(\dfrac{q}{2}\) is brought to the origin and given a small displacement along the \(x\)-axis, then
Two equal point charges, \(Q = +\sqrt{2}\ \mu\)C are placed at each of the two opposite corners of a square and equal point charges \(q\) at each of the other two corners. The value of \(q\), so that the resultant force on \(Q\) is zero is
The linear momentum is increased by 50%, the kinetic energy will increase by
Two capacitors, one 4 pF and the other 6 pF, connected in parallel, are charged by a 100 V battery. The energy stored in the capacitors is
A voltmeter of resistance 998 \(\Omega\) is connected across a cell of emf 2 V and internal resistance 2\(\Omega\). The potential difference across the voltmeter is
In the adjoining circuit, the resistances are given in ohm, and \(X\) and \(Y\) are unknown resistances. The current through the 10 \(\Omega\) resistance is 3A while that through the resistance \(X\) is 1A. No current passes through the galvanometer. The values of the unknown resistances \(X\) and \(Y\) are respectively}
The ratio of the wavelength of first line of Balmer series to the first line of Lyman series is
A \(p\)-\(n\) junction is designed to withstand current up to a maximum in 10 mA. A resistor \(R = 200\ \Omega\) is connected in series with it. When forward biased the diode has a potential drop of 0.5 V. The maximum voltage of the battery required to forward bias the diode is
What is the Boolean equation for a NAND gate with inputs \(A\) and \(B\)?}
A geo-stationary satellite is orbiting the earth at height of 6\(R\) above the surface of the earth, \(R\) being the radius of the earth. The time period of another satellite at a height of 2.5 \(R\) from the surface of the earth is
For a colour of light the wavelength for air is 6000 \AA\ and in water the wavelength is 4500 \AA. Then the speed of light in water will be
When an equilateral prism of refractive index \(\sqrt{3}\) produces minimum deviation the angle of incidence at the first face must be
Three 2 \(\Omega\) resistors are connected to form a triangle. The resistance between any two corners is
A thin rod of length \(\dfrac{f}{3}\) is placed along the optic axis of a concave mirror of focal length \(f\) such that its image is real and elongated and just touches the rod, the magnification is
Two coherent sources of intensity ratio 9:4 produce interference. What is the ratio between maxima and minima in the interference pattern produced?
The angle of minimum deviation for a prism of angle \(A\) is \(180 - 2A\). The refractive index is
An electron at rest is accelerated through a potential difference of 200 V. If the electron acquires a velocity of \(8.4 \times 10^8\) cm/s, its \(e/m\) ratio is
A 2 kg copper block is heated to 500\(^\circ\)C and is then placed on a large block of ice at 0\(^\circ\)C. If the specific heat capacity of copper is 400 J kg\(^{-1}\) \(^\circ\)C\(^{-1}\) and latent heat of fusion of water is \(3.5 \times 10^5\) J kg\(^{-1}\), the amount of ice that can melt is
A man weighing 100 kg slides down a light rope with an acceleration of 1.8 m s\(^{-2}\). If \(g = 9.8\) m s\(^{-2}\), the tension in the rope is
A force of 20 N acts on a body of mass 2 kg initially at rest. Find the work done in 2 s.
A charged particle of mass \(m\) and charge \(q\) is released from rest in an electric field of magnitude \(E\). The kinetic energy of the particle after time \(t\) second is