List of practice Questions

The moment of the couple formed by the forces \(5\hat{i}+\hat{k}\) and \(-5\hat{i}-\hat{k}\) acting at the points (9, -1, 2) and (3, -2, 1) respectively, is

The unit vectors orthogonal to the vector\(-\hat{i}+2\hat{j}+2\hat{k}\) and making equal angles with the x and y axis is (are)

If two simple harmonic motions having angular frequency 440 rad/s and 396 rad/s are superimposed, what will be the number of beats produced?

What will be the separation between the coherent sources formed by a bi-prism whose inclined faces makes an angle of 2° with its base, the slit source being 0.10 m away from the bi-prism (Given μ = 1.5)?

The Lissajous figure of two rectangular SHMs of equal frequency and phase difference of π/2 is

Angular width of central maxima of a diffraction pattern of a single slit does not depend upon

The Lissajous figure may be a straight line if the phase difference is

If \(I_0\) is the intensity of the principal maxima in a single slit diffraction pattern, then what will be its intensity when the slit width is doubled?

Given \(\overrightarrow A\)x \(\overrightarrow B\) = \(\overrightarrow C\),
Where \(\overrightarrow A = x\hat i+y\hat j+3\hat k\), \(\overrightarrow B = y\hat î + x\hat j + 2\hat k\), \(\overrightarrow C=-5\hat î+5\hat k\) 
Find the value of x and y

Figure shows Fraunhofer's diffraction due to a single slit. If first minima is obtained in the direction shown, then the path difference between ray 1 and ray 3 is

In the given question, choose the correct sequence of four statements given below:
A. It was found that the charge determined in each case
B. Which reveals that charge is quantised
C. When the experiment was repeated for a number of times
D. Was an integral multiple of elementary charge.
Choose the correct answer from the options given below.

What is the change in entropy when 10 g of ice at 0 °C is converted into water at the same temperature? The latent heat of ice is 80 cal/g.

Five Carnot engines operate between reservoir temperatures of
A. 100 K and 500 K
B. 200 K and 500 K 
C. 400 K and 500 K 
D. 200 K and 800 K
E. 200 K and 400 K 
Arrange the engines according to their decreasing efficiencies.
Choose the correct answer from the options given below.

C₁ and C₂ represent the specific heat of a liquid and its saturated vapour where- as L is latent heat of vaporization. (T is the temperature) The correct option is

The Bose-Einstein distribution is applied on

Given below are two statements:
Statement-I : Law of conservation of momentum is invariant to Galilean transformation.
Statement-II Law of conservation of energy is invariant to Galilean transformation.
In the light of the above statements, choose the correct answer from the options given below.

What is the kinetic energy of an electron in the lowest energy level of a hydrogen atom?

A white dwarf star has volume V and contains N electrons so that the density of electron is \(n=\frac{N}{V}\). Taking the temperature of the star to be 0 K, what will be the expression for average energy per electron in the star?

A metal has work function \(w_0\) = 3.3×10^-19 J. What should be the minimum frequency of the incident radiation that can remove an electron from the metal surface? [Given h = 6.6x10^-34 J-s]

Consider an inertial frame S' moving at a speed \(\frac{c}{3}\) away from another inertial frame S along the common x-axis, where c is the speed of light. As observed from S', a particle is moving with speed \(\frac{c}{3}\) in the y' direction as shown in the figure. The speed of the particle as seen from S will be

Find the output voltage of a non-inverting OP-AMP having \(R_1\) = 100 kΩ, \(R_f\) = 500 kΩ, when the input signal is of 2.0 V.

If the stream function equation y=3x²-y², what is the magnitude of velocity at point (2.2)?

A scale of 1 inch = 50 ft is mentioned on an old map. What is the corresponding equivalent scale?

A car accelerate from it's Stationary position for 8 seconds and travels a distance of 280m. According to the mean value theorem, the speedometer at a certain time during accelaration must read exactly.

In Force current analogy, stiffness constant K is analogous to__