Induced emf is independent of the resistance of the circuit; however, the current produced will be affected by the resistance according to Ohm's law.

The angular momentum (L) of a rolling object is related to its linear momentum (p) by the equation L = p * r, where r is the radius.

The relationship between linear velocity (v) and angular velocity (ω) for a point on a rotating rigid body is given by v = rω, where r is the radius.

The average kinetic energy of gas molecules is directly proportional to the temperature of the gas.

The relationship between the charge and the voltage across a capacitor is given by Q = C*V, where C is the capacitance.

The energy of a photon is directly proportional to its frequency, as given by the equation E = hf, where h is Planck's constant.

The root mean square speed is given by v_rms = sqrt(3kT/m), where k is the Boltzmann constant and m is the mass of a gas molecule.

The relationship is given by the equation τ = Iα, where τ is torque, I is moment of inertia, and α is angular acceleration.

The relationship between torque (τ) and angular acceleration (α) is given by τ = I * α, where I is the moment of inertia.

According to Ohm's Law, the relationship is V = I * R.

According to Ohm's Law, the relationship is V = I * R and R = V/I, so both A and C are correct.

A rectifier is used in semiconductor circuits to convert alternating current (AC) to direct current (DC), allowing for the use of AC power in DC applications.

Using the formula v_rms = sqrt(3RT/M), where R = 8.314 J/(mol·K), T = 300 K, and M = 0.029 kg/mol, we find v_rms ≈ 400 m/s.

The root mean square speed is given by the formula v_rms = sqrt(3RT/M), where R = 8.314 J/(mol·K), T = 300 K, and M = 0.028 kg/mol. v_rms = sqrt(3 * 8.314 * 300 / 0.028) ≈ 500 m/s.

The rotational equivalent of Newton's second law is τ = I * α, where τ is torque, I is moment of inertia, and α is angular acceleration.

The emission spectrum of an atom indicates the energy levels of electrons, as each line corresponds to a transition between energy levels.

Wave-particle duality is a fundamental concept in quantum mechanics that states that every particle or quantum entity can be described as either a particle or a wave, depending on the experimental conditions.

Wave-particle duality is significant because it reveals that light and matter can exhibit both wave-like and particle-like properties, depending on the experimental conditions.

Specific heat capacity (c) is calculated as c = Q / (m * ΔT) = 2000 J / (1 kg * 40°C) = 50 J/kg°C.

Using Q = mcΔT, we have 500 = 2 * c * 10, thus c = 500 / 20 = 25 J/kg°C.

The speed of a wave is given by the formula v = f * λ. Here, v = 500 Hz * 2 m = 1000 m/s.

The standard unit of length in the SI system is the meter (m).

Refraction is the change in direction of light due to a change in its speed when entering a different medium.

The bending of waves around obstacles is known as diffraction.

The energy required to change a substance from solid to liquid at its melting point is called the latent heat of fusion.

Thermal expansion refers to the increase in volume of materials when they are heated.

Amplitude is defined as the maximum displacement of a wave from its equilibrium position.

Ionization energy is the minimum amount of energy required to remove an electron from an atom, leading to the formation of a positive ion.

Ionization energy is the minimum energy required to remove an electron from an atom, leading to the formation of a positively charged ion.

Using Fourier's law, Q = kA(ΔT/d), we have 100 = k * 1 * (50/0.1), thus k = 0.5 W/m°C.