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Physics
List of top Physics Questions asked in CPET
The light emitted in the transition \(n = 3\) to \(n = 2\) in hydrogen is called \(H_\alpha\) light. The maximum work function a metal can have so that \(H_\alpha\) light can emit photoelectrons from it is:
CPET - 2025
CPET
Physics
Atomic Physics
If a laser beam has an intensity of \(2.5\times10^{14}\,\text{W/m}^{2}\), then the amplitude of the electric field and magnetic field in the beam is:
CPET - 2025
CPET
Physics
Electromagnetic waves
A transformer has 50 turns in the primary and 100 in the secondary. What will the voltage across the secondary be if the primary is connected to a 220 V DC supply?
CPET - 2025
CPET
Physics
Transformers
The magnetic field at a point inside the 2.0 mH inductor coil becomes 0.80 of its maximum value in \(20\,\mu\text{s}\) when the inductor is joined to a battery. Then the resistance of the circuit is:
CPET - 2025
CPET
Physics
RC Circuits
The wave function of a particle in a region classically forbidden region is __________.
CPET - 2025
CPET
Physics
Quantum Mechanics
The value of electric charge and strangeness of the d-quark is:
CPET - 2025
CPET
Physics
Particle Physics
A long wire carries a current of 4.00 A. The energy stored in the magnetic field inside the volume of \(1\,\text{mm}^{3}\) at a distance of 10 cm from the wire is given by:
CPET - 2025
CPET
Physics
Magnetostatics
The probability current density (probability density current) in one dimension is given by:
CPET - 2025
CPET
Physics
Quantum Mechanics
Einstein's law and Debye's law of specific heat merge with Dulong-Petit's law at:
CPET - 2025
CPET
Physics
Specific Heat of Solids
The average energy of Planck's oscillator is given by:
CPET - 2025
CPET
Physics
Planck Oscillator
De-Broglie wavelength for thermal neutrons is:
CPET - 2025
CPET
Physics
de Broglie Waves
The expectation value of \(p_x\) of the momentum of a particle trapped in a one-dimensional box is:
CPET - 2025
CPET
Physics
Quantum Mechanics
The quantum operator for energy is:
CPET - 2025
CPET
Physics
Quantum Mechanics
The two eigenvalues of the matrix \(\begin{pmatrix} 1 & 1 \\ 1 & 1 \end{pmatrix}\) are:
CPET - 2025
CPET
Physics
Linear Algebra
Using the vector atom model, the possible values of the magnitude of angular momentum of an electron in the \(f\) shell are:
CPET - 2025
CPET
Physics
Vector Atom Model
An electron enters a uniform magnetic field of flux density \(1.2\ \text{Wb/m}^2\). The energy difference (in eV) between electrons having spins parallel and anti-parallel to the field is:
(Given: \(\mu_B = 9.3 \times 10^{-24}\ \text{J/T}\))
CPET - 2025
CPET
Physics
Magnetic moment
A meter stick is at an angle of \(45^\circ\) to the \(x\)-axis in its rest frame. The rod moves with a speed of \(\dfrac{c}{\sqrt{2}}\) along the \(+x\)-direction w.r.t. a frame \(S\). The length of the rod in \(S\) is:
CPET - 2025
CPET
Physics
Special Relativity
The rank of the following matrix is:
\[\begin{pmatrix} 1 & 5 & 1 \\ 2 & 1 & 1 \\ 5 & 6 & 2 \end{pmatrix}\]
CPET - 2025
CPET
Physics
Matrix Rank
An AC generator with output voltage \(V\) and frequency \(f\) is connected to the plates of an air-filled parallel plate capacitor of plate area \(A\) and plate separation \(d\). The maximum value of the displacement current is:
CPET - 2025
CPET
Physics
Displacement current
A particle of mass \(m\) moves under a potential \(V(x)\). The Lagrangian of the system is given by \(L = \tfrac{1}{2}m\dot{x}^2 - V(x)\). According to Lagrange's equation of motion, which of the following is the correct equation of motion for the particle?
CPET - 2025
CPET
Physics
Lagrangian Mechanics
A coordinate \(q_i\) is called cyclic (or ignorable) if:
CPET - 2025
CPET
Physics
Lagrangian Mechanics
A cylinder of length \(L\) is made up of an inner core of steel of radius \(r\) and an outer sheath of copper of thickness \(r\). The resistivities of steel and copper are \(\rho_1\) and \(\rho_2\) respectively. The total resistance of the cylinder is:
CPET - 2025
CPET
Physics
Current electricity
Find \( \nabla\phi \) if \( \phi = \log r \), where \( r = |\vec{r}| \):
CPET - 2025
CPET
Physics
Vector Calculus
The Laplace transform of \( e^{-at} \) is:
CPET - 2025
CPET
Physics
Laplace Transform
Find the value of the integral
\[\int_{-1}^{1} x\,P_n(x)\,P_{n-1}(x)\,dx\]
CPET - 2025
CPET
Physics
Legendre Polynomials
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