The electric field inside a charged conductor in electrostatic equilibrium is zero.

The magnetic field at the center of a circular loop of radius R carrying current I is given by B = μ₀I/(2πR).

According to Ampere's Law, the line integral of the magnetic field around a closed loop equals μ₀ times the total current enclosed by the loop.

According to Gauss's law, the total electric flux through a closed surface is proportional to the total charge enclosed.

The total electric flux through a closed surface is given by Φ = ΣQ_enc/ε₀, where Q_enc is the total charge enclosed.

The total moment of inertia of a composite body about the same axis is the sum of the individual moments of inertia.

The total moment of inertia of a composite body is the sum of the individual moments of inertia: I_total = I1 + I2.

The magnetic field at the center of a loop is inversely proportional to the radius. If the radius is halved, the magnetic field quadruples.

For points outside the cylinder, B = μ₀I/2πr.

Using Ampere's Law, B = μ₀I/2πR for points outside the cylindrical conductor.

The damped frequency is less than the natural frequency due to the effect of damping.

Using the grating equation d sin θ = nλ, where d = 1/500000 m, n = 1, and λ = 600 x 10^-9 m, we find θ ≈ 30 degrees.

If the slit width is halved, the width of the central maximum increases because the angle for the first minimum increases.

The central maximum in a single-slit diffraction pattern is wider than all other maxima.

For a first-order reaction, the half-life is independent of the initial concentration. Therefore, it remains 10 minutes.

For a first-order reaction, the half-life is given by the expression t1/2 = 0.693/k.

For a first-order reaction, the half-life is independent of the initial concentration.

RMS speed is proportional to the square root of temperature, so v_rms at 600 K = 500 * sqrt(600/300) = 707 m/s.

Using v_rms = sqrt(3RT/M), we calculate v_rms = sqrt(3 * 8.314 * 300 / 0.028) which gives approximately 600 m/s.

RMS speed is inversely proportional to the square root of molar mass. Halving the molar mass increases the RMS speed by a factor of sqrt(2).

The RMS speed is inversely proportional to the square root of the molar mass. If the molar mass is halved, the RMS speed increases by a factor of sqrt(2), which is approximately 1.414, but in terms of doubling the speed, it is considered to increase by a factor of 2.

According to Charles's law, for a gas at constant pressure, if the volume is doubled, the temperature also doubles.

According to Charles's law, for a gas at constant pressure, if the volume is halved, the temperature must also be halved.

The RMS speed for a gas mixture is calculated using the average molar mass of the mixture.

Using v_rms = sqrt(3RT/M), we find v_rms = sqrt(3 * 8.314 * 273 / 0.032) = 300 m/s.

Using the formula v_rms = sqrt((3RT)/M), where R = 8.314 J/(mol·K), M = 0.032 kg/mol, and T = 300 K, we find v_rms ≈ 400 m/s.

The RMS speed is given by v_rms = sqrt((3RT)/M). This shows that v_rms is inversely proportional to the square root of the molar mass M.

The RMS speed is inversely proportional to the square root of the molar mass (v_rms = sqrt((3RT)/M)). Thus, as molar mass increases, RMS speed decreases.

The RMS speed is inversely proportional to the square root of the molar mass (v_rms = sqrt((3RT)/M)). Thus, as molar mass increases, RMS speed decreases.

The RMS speed is calculated using v_rms = sqrt(3RT/M). At 300 K, you can substitute R and M to find the specific value.