Using Ohm's law, V = I * R = 3A * 10Ω = 30 V.

Using Ohm's law, V = I * R = 3A * 10Ω = 30V.

Using Ohm's law, V = I * R = 3 A * 5 Ω = 15 V.

The voltage across a charging capacitor after one time constant is V = V0(1 - e^(-t/τ)).

After 3 time constants, a capacitor is considered fully charged, so the voltage remains at 12 V.

Voltage across capacitor V(t) = V0 * (1 - e^(-t/τ)). After 3τ, V(3τ) = 12 V * (1 - e^(-3)) ≈ 12 V * (1 - 0.05) ≈ 11.4 V.

After one time constant, the voltage across the capacitor reaches approximately 63.2% of the supply voltage.

After one time constant, the voltage across the capacitor is V(1 - e^(-1)), where V is the applied voltage.

After one time constant (τ), the voltage across the capacitor reaches approximately 63% of the applied voltage V.

Work = mgh = 5 kg × 9.8 m/s² × 2 m = 98 J.

The work done by a constant force is calculated as the product of the force and the distance moved in the direction of the force, W = F * d.

The work done is calculated as W = Fd cos(θ), where θ is the angle between the force and the direction of motion.

The work done by a constant force is calculated using the formula W = Fd cos(θ), where θ is the angle between the force and the direction of motion.

Work = F × d × cos(θ) = 15 N × 4 m × cos(60°) = 15 N × 4 m × 0.5 = 30 J.

For isothermal expansion, the work done is given by W = nRT ln(V2/V1).

Work done W = τθ, where θ = 60 degrees = π/3 radians. Thus, W = 15 N·m * π/3 = 15 * 1.047 = 15.71 J.

Work done by torque is W = τθ, where θ = π/2 rad. Thus, W = 5 N·m * (π/2) = 5 * 1.57 = 7.85 J.

Work done is calculated as W = F * d * cos(θ). Here, θ = 0 degrees, so W = 10 N * 3 m * cos(0) = 30 J.

Work done W = F × d = 15 N × 3 m = 45 J.

Work W = F * d = 50 N * 3 m = 150 J.

Work W = F * d = 50 N * 4 m = 200 J.

The work function is the minimum energy required to remove an electron from the surface of a material.

The photoelectric effect shows that when light of sufficient frequency strikes a material, it can cause the emission of electrons, demonstrating the particle-like properties of light.

The discrete lines in atomic spectra are explained by quantum transitions between energy levels, where electrons absorb or emit photons.

The discrete lines in atomic spectra are due to quantum transitions between energy levels of electrons in an atom.

The photoelectric effect is the phenomenon where electrons are emitted from a material when it is exposed to light of sufficient frequency.

The photoelectric effect occurs when light of sufficient frequency strikes a metal surface, causing the emission of electrons due to the absorption of energy from the photons.

Diffraction occurs when light passes through a narrow slit, causing it to spread out and create a pattern of light and dark regions.

The phenomenon that occurs when two waves meet and combine to form a new wave is called interference.

A rolling object possesses kinetic energy due to both its translational and rotational motion.