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

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

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

Percentage error = |(True value - Measured value) / True value| * 100 = |(50.0 - 48.0) / 50.0| * 100 = 4.0%.

Percentage error = (|True value - Measured value| / True value) * 100 = (|100 - 98| / 100) * 100 = 2%.

Percentage error = (|True value - Measured value| / True value) * 100 = (|200 - 198| / 200) * 100 = 1%.

Doubling one resistance will change the ratio, thus making the bridge unbalanced.

Increasing one resistance will generally cause the bridge to become unbalanced.

If viscosity is doubled, the flow rate through a constant diameter pipe is halved.

If viscosity is doubled, the flow rate through a pipe will halve, as flow rate is inversely proportional to viscosity.

A high viscosity indicates that the fluid flows slowly.