Memory-based questions collected from students and coaching institutes immediately after the exam. Filter by subject, choose your difficulty, and reveal answers one at a time — or use Test Mode to challenge yourself before checking.
Match List I with List II: List I | List II (A) E = hν | (I) de Broglie wavelength (B) Diffraction & Interference| (II) Particle nature of light (C) λ = h/p | (III) Wave nature of light (D) Compton effect | (IV) Energy of photon Choose the correct answer:
Match List I (EM wave type) with List II (Source/Production): (A) Microwaves | (I) Electronic transitions in atoms (B) Visible light | (II) Nuclear decay (radioactive) (C) Gamma rays | (III) Thermal vibrations of atoms/molecules (D) Infrared rays | (IV) Vacuum tubes (klystron, magnetron)
The magnetic field inside a long straight wire of radius a carrying current I varies with radial distance r from the axis as:
A ball is thrown vertically upward. Which velocity-time (v-t) graph correctly represents its motion from the moment of projection until it returns to the ground?
Mercury's orbital radius is approximately 0.39 times that of Earth. If Earth's year is 365 days, what is the approximate length of a Mercury year? (Use Kepler's 3rd law: T² ∝ R³)
A 220V, 50Hz AC supply is connected in series with a resistor R = 20Ω, capacitor of reactance X_C = 25Ω, and inductor of reactance X_L = 45Ω. What is the current in the circuit and the phase angle?
A wire of resistance R is cut into 8 equal pieces. From these pieces, two equivalent resistors are made by connecting four pieces in parallel each. These two sets are then connected in series. The net effective resistance is:
A model for quantized motion of an electron in a uniform magnetic field B states that the flux through the orbit is n(h/e). According to this model, the magnetic moment of an electron in its lowest energy state (n=1) is:
A body weighs 48 N on the surface of the earth. The gravitational force on the body at a height equal to one-third of Earth's radius (R/3) above the surface is:
A pipe open at both ends has a fundamental frequency f in air. The pipe is now dipped vertically into water to half its length. The new fundamental frequency of the air column is:
A full-wave rectifier circuit uses diodes D1 and D2 with input Vin = 220 sin(100πt) V. The output frequency of the full-wave rectified output is:
A bob of mass m is suspended by a light string of length l and given a horizontal velocity v₀. If the string becomes slack at a point P making angle θ from horizontal, then at point P:
Two identical charged conducting spheres A and B with centres separated by distance d interact with electrostatic force F. They are now connected by a thin conducting wire and separated again. The new force between them is:
An oscillating simple pendulum gradually loses energy due to air drag. Which of the following correctly describes the time period as the amplitude decreases?
A ring and a disc of equal mass M and radius R roll without slipping on a horizontal surface with the same linear speed. The ratio of their kinetic energies (ring:disc) is:
A convex lens of focal length f is cut into two equal halves along its principal axis. Each half is used as a lens. The focal length of each half lens is:
Which of the following groups of physical quantities all have the same dimensions?
A straight conductor of length L moves with velocity v perpendicular to a magnetic field B. The emf induced in the conductor is:
0.014 kg of N₂ gas at 27°C is kept in a closed vessel. How much heat is required to double the rms speed of the N₂ molecules?
A water tank has a small hole at the bottom. If the water level is H above the hole, the velocity of efflux (by Torricelli's theorem) is: