List of top Physics Questions

If cos(12/13) + sin(P), then the value of P is:
If the volume of the tetrahedron, whose vertices are \( A(1, 2, 3), B(-3, -1, 1), C(2, 1, 3) \) and \( D(-1, 2, x) \), is \( \frac{11}{6} \) cubic units, then the value of \( x \) is:
If the angle between the line \( 2(x + 1) = y = z \) and the plane \( 2x - y + \sqrt{2} z + 4 = 0 \) is \( \frac{\pi}{6} \), then the value of \( \lambda \) is:
If a(4 + x^2) = x + y - x^3 = a^3 * (dy/dx) at x = 1, then the value of (dy/dx) is:
Approximate value of \( \cos 59^\circ \) is:
If \( x^y + y^x = a^b \), then \( \frac{dy}{dx} \) at \( x = 1, y = 2 \) is:
Evaluate the definite integral: \[ \int_{0}^{\frac{\pi}{2}} \frac{dx}{1 + (\cot x)^{101}} = ? \]
If \( a(u + x^2) = x \) and \( y - x^3 = a^2 \), then \( \frac{dy}{dx} \) at \( x = 1 \) is:

When a bar magnet is pushed towards the coil, along its axis, as shown in the figure, the galvanometer pointer deflects towards X. When this magnet is pulled away from the coil, the galvanometer pointer 

If \( r \) and \( r' \) denote the angles inside the prism having angle of prism \( 50^\circ \), considering that during the interval of time from \( t = 0 \) to \( t = T \), \( r \) varies with time as \( r = 10^\circ + t^2 \). During this time \( r' \) will vary with time as 

Given the voltage equation \( V = 100 \sqrt{2} \sin(\omega t) \) and capacitance \( C = 2 \, \mu \text{F} \), calculate the RMS current.
The value of \( g \) at height \( h \) above Earth's surface is \( \frac{g}{\sqrt{3}} \). Find \( h \) in terms of the radius of the Earth.
A fluid flows through a pipe with a varying cross-sectional area. If the velocity of the fluid is \( v_1 = 4 \, \text{m/s} \) at a point where the cross-sectional area is \( A_1 = 2 \, \text{m}^2 \), and the velocity at another point where the cross-sectional area is \( A_2 = 1 \, \text{m}^2 \) is \( v_2 \), what is the velocity \( v_2 \)?
Which of the following statements is true in respect of diamagnetic substances?
Which of the following expressions can be deduced on the basis of dimensional analysis? (All symbols have their usual meanings)

Consider the following statements: 
(i) Sound pressure changes with distance from the source 
(ii) Sound power is a property of the source 
(iii) Sound intensity is sound power per unit volume 
Choose the correct option from the following:
 

A charge of \( 2 \, \mu\text{C} \) is placed in an electric field of intensity \( 4 \times 10^3 \, \text{N/C} \). What is the force experienced by the charge?
A convex lens has a focal length of \( 20 \, \text{cm} \). An object is placed at a distance of \( 30 \, \text{cm} \) from the lens. What is the position of the image formed?
A mass of \( 0.5 \, \text{kg} \) is attached to a spring with a spring constant \( k = 200 \, \text{N/m} \). The mass is displaced by \( 0.1 \, \text{m} \) from its equilibrium position. What is the potential energy stored in the spring?
A car accelerates uniformly from rest and attains a velocity of \( 20 \, \text{m/s} \) in 10 seconds. What is the acceleration of the car?
A force of \( 10 \, \text{N} \) acts on a body and moves it through a displacement of \( 5 \, \text{m} \) in the direction of the force. What is the work done by the force?

A convex lens has power \( P \). It is cut into two halves along its principal axis. Further, one piece (out of two halves) is cut into two halves perpendicular to the principal axis as shown in the figure. Choose the incorrect option for the reported lens pieces. 

A metallic sphere of radius \( R \) carrying a charge \( q \) is kept at a certain distance from another metallic sphere of radius \( R_4 \) carrying a charge \( Q \). What is the electric flux at any point inside the metallic sphere of radius \( R \) due to the sphere of radius \( R_4 \)? 

An electron with mass \( m \) and charge \( q \) is in the spin up state \[ \begin{pmatrix} 1 \\ 0 \end{pmatrix} \] at time \( t = 0 \). A constant magnetic field is applied along the \( y \)-axis, \( \mathbf{B} = B_0 \hat{j} \), where \( B_0 \) is a constant. The Hamiltonian of the system is \[ H = -\hbar \omega \sigma_y, \quad \text{where} \quad \omega = \frac{q B_0}{2m} < 0 \quad \text{and} \quad \sigma_y = \begin{pmatrix} 0 & -i \\ i & 0 \end{pmatrix}. \]
The minimum time after which the electron will be in the spin down state along the \( x \)-axis, i.e., \[ \frac{1}{\sqrt{2}} \begin{pmatrix} 1 \\ -1 \end{pmatrix}, \] is:
An electron enters a magnetic field of magnitude 0.05 T at a speed of \(3 \times 10^6\) m/s making an angle of 30° with the field direction. What is the magnitude of magnetic force on it? (Charge of electron = \(1.6 \times 10^{-19}\) C)