What is the dimensional formula of Planck's constant (h)?
Physics
Question · Easy
Which of the following physical quantities is a direct quantitative measure of the inertia of a body?
If the momentum of a body of mass m is doubled, by what factor does its kinetic energy increase?
What is the value of the acceleration due to gravity (g) at the center of the Earth?
Two point charges placed at a distance r in air exert a force F on each other. If they are placed at the same distance in a medium of dielectric constant K, what will be the force between them?
How does the electrical resistance of a metallic conductor change when its temperature increases?
What is the speed of light in a glass medium of refractive index 1.5, given that the speed of light in vacuum is 3.0 * 10^8 m/s?
In the photoelectric effect, what is the minimum frequency of incident radiation below which no photoelectron emission occurs called?
What are the majority charge carriers in a p-type semiconductor?
What is the expression for the maximum height (H) attained by a projectile fired with an initial velocity u at an angle θ with the horizontal?
Question · Medium
What is the maximum speed with which a car can safely take a turn along a flat circular road of radius R, if the coefficient of static friction between the tires and the road is μ?
A man of mass m stands in an elevator that is accelerating upwards with an acceleration a. What is the apparent weight of the man?
If acceleration due to gravity on the surface of the Earth is g, what is its approximate value at a height h above the surface, where h is much smaller than the Earth's radius R?
How does the terminal velocity (v_t) of a small spherical ball falling through a viscous liquid depend on its radius (r)?
What is the expression for the work done (W) by an ideal gas during an isothermal expansion from volume V1 to V2 at temperature T?
What is the efficiency (η) of a Carnot engine operating between a heat source at temperature T1 and a heat sink at temperature T2 (temperatures in Kelvin)?
According to the Laplace correction, what is the formula for the speed of sound in an ideal gas of density ρ at pressure P?
How is the capacitance of a parallel plate capacitor altered when a dielectric slab of dielectric constant K is introduced to completely fill the space between its plates?
In a Wheatstone Bridge circuit consisting of four resistances P, Q, R, and S, what is the condition for the bridge to be balanced?
What is the magnetic field (B) at the center of a circular current-carrying coil of radius R and number of turns N, carrying a current I?
Lenz's Law, which determines the direction of induced electromotive force (emf), is a direct consequence of which conservation law?
What is the Lens Maker's Formula relating the focal length (f), refractive index (μ), and radii of curvature (R1, R2) of a thin lens?
According to Brewster's Law, what is the relationship between the refractive index (μ) of a medium and the polarizing angle (i_p)?
How does the radius (r_n) of the nth Bohr orbit of a hydrogen atom scale with the principal quantum number (n)?
A solid sphere of mass M and radius R rolls down a rough inclined plane of inclination θ without slipping. What is the acceleration of its center of mass?
Question · Hard
A simple pendulum consists of a hollow spherical bob filled with water. If a small hole at the bottom of the bob allows water to slowly leak out, how does the time period (T) of the pendulum change over time?
What is the electric field strength inside a uniformly charged thin spherical shell of radius R at a distance r (where r < R) from the center?
How does the magnetic field (B) inside a long straight solid cylindrical wire of radius R carrying a uniform current vary with distance r from its axis?
What is the Quality factor (Q) of a series LCR resonance circuit consisting of inductor L, capacitor C, and resistor R?
A radioactive substance has a half-life of 10 days. What fraction of the original substance remains undecayed after 40 days?
Which of the following describes the molarity of a solution?
Chemistry
What is the energy of an electron in the nth Bohr orbit of a hydrogen atom?
How do electronegativity values generally change across a period and down a group in the periodic table?
What is the molecular geometry of a water (H2O) molecule according to VSEPR theory?
What is the oxidation state of oxygen in oxygen difluoride (OF2)?
According to Raoult's Law, what is the vapor pressure of a solvent in a solution containing a non-volatile solute?
What is the coordination number of the central cobalt ion in the coordination complex [Co(NH3)6]Cl3?
What is the IUPAC name of acetone?
What is the chemical name of Vitamin C?
According to Dalton's Law of Partial Pressures, how is the partial pressure of a gas in a mixture related to the total pressure?
What is the thermodynamic relationship between enthalpy change (ΔH) and internal energy change (ΔU) for a reaction involving ideal gases?
According to the Brønsted-Lowry theory, what is the conjugate acid of ammonia (NH3)?
According to Faraday's First Law of Electrolysis, how is the mass (w) of a substance deposited at an electrode related to current (I) and time (t)?
What is the unit of the rate constant (k) for a first-order chemical reaction?
Which of the following characteristics is true for physical adsorption (physisorption) but NOT for chemical adsorption (chemisorption)?
What is the basicity of orthophosphoric acid (H3PO4)?
What is the spin-only magnetic moment of a divalent iron ion (Fe2+) in Bohr Magnetons (B.M.)? (Atomic number of Fe = 26)
What is the hybridization and magnetic behavior of the coordination complex [Fe(CN)6]^3-?
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