The RMS speed is proportional to the square root of the temperature. If the temperature is doubled, the RMS speed increases by a factor of sqrt(2).

RMS speed is directly proportional to the square root of temperature. Halving the temperature results in a decrease in RMS speed by sqrt(2).

According to Gay-Lussac's Law, if the temperature of a gas increases at constant volume, the pressure increases.

RMS speed increases by sqrt(4) = 2, since v_rms is proportional to sqrt(T).

RMS speed is proportional to the square root of temperature. Increasing from 300 K to 600 K increases the speed by sqrt(2).

According to Gay-Lussac's Law, if the temperature of a gas is increased while keeping the volume constant, the pressure increases.

The viscosity of a liquid generally decreases with an increase in temperature.

Generally, the Young's modulus of materials decreases with an increase in temperature.

For metals, resistivity increases with temperature due to increased lattice vibrations.

As the temperature of a system increases, the kinetic energy of the particles increases, leading to greater disorder and thus an increase in entropy.

The average kinetic energy of gas molecules is directly proportional to the absolute temperature. Therefore, if the temperature is doubled, the average kinetic energy also doubles.

According to Gay-Lussac's law, pressure is directly proportional to temperature at constant volume, so it doubles.

According to Gay-Lussac's law, at constant volume, the pressure of an ideal gas is directly proportional to its absolute temperature. Therefore, if the temperature is doubled, the pressure also doubles.

According to Charles's Law, at constant pressure, the volume of an ideal gas is directly proportional to its temperature. Therefore, if the temperature doubles, the volume also doubles.

According to Gay-Lussac's law, if the volume is constant, the pressure of an ideal gas is directly proportional to its absolute temperature. Therefore, doubling the temperature doubles the pressure.

According to Stefan-Boltzmann law, the rate of heat radiation increases with the fourth power of the temperature, so as the temperature increases, the rate of radiation also increases.

The rate of heat transfer by radiation increases with the fourth power of the absolute temperature, according to Stefan-Boltzmann law.

According to the Stefan-Boltzmann law, if the temperature is doubled, the thermal radiation increases by a factor of 2^4 = 16, not quadruples.

According to the Stefan-Boltzmann law, if the temperature is doubled, the rate of heat radiation increases by a factor of 2^4 = 16.

Torque = Force × Distance; if Torque is doubled and Distance is constant, Force must also double.

If torque is doubled and radius remains constant, the force must also double to maintain the relationship τ = F × r.

If the torque is zero, it means that the forces are acting along the same line, resulting in no rotational effect.

If the torque is zero, it means that the line of action of the forces passes through the pivot point.

If the total charge enclosed is zero, the electric field can still be non-zero at points on the surface due to external charges.

Total energy (E) = (1/2)m(v_max)^2. Solving for v_max gives v_max = sqrt(2E/m) = sqrt(2*50/2) = 10 m/s.

In a balanced Wheatstone bridge, the current through the galvanometer is zero.

According to Ohm's law, if the total resistance increases, the current in the circuit decreases.

Absolute error = |True value - Measured value| = |50 - 48| = 2.

Absolute error = |True value - Measured value| = |50.0 - 49.5| = 0.5 cm.

Absolute error = |True value - Measured value| = |50.0 - 49.5| = 0.5 cm.