Doubling R2 will change the ratio R1/R2, thus unbalancing the bridge.

Adjusting R4 to achieve balance implies that the other resistances maintain a specific ratio.

The bridge is not balanced because 1/2 is not equal to 3/6.

Using the balance condition P/Q = R/S, we find S = (Q*R)/P = (10*15)/5 = 30Ω.

For balance, R4 must be 6Ω since 2/3 = 4/6.

In a balanced Wheatstone bridge, the voltage divides equally across the two arms, so each arm would have 6V if the total is 12V.

In AM, the amplitude of the carrier wave varies in accordance with the amplitude of the modulating signal, which carries the information.

In AM, the carrier wave is a high-frequency signal that carries the information signal by varying its amplitude.

If capacitive reactance (X_C) is greater than inductive reactance (X_L), the circuit is capacitive.

If the current lags the voltage, it indicates an inductive load, as inductors cause the current to lag behind the voltage.

If the current lags the voltage, it indicates an inductive circuit, where the current phase is behind the voltage phase.

If the current lags the voltage, it indicates the presence of an inductive load, as inductors cause the current to lag behind the voltage.

If the current lags the voltage, it indicates an inductive load, as inductors cause the current to lag behind the voltage.

Inductive reactance (X_L) is given by X_L = 2πfL. If the frequency (f) is doubled, X_L also doubles.

The reactance of an inductor is given by X_L = 2πfL. If frequency is doubled, reactance halves.

The power factor is cos(θ). If PF = 0.5, then θ = cos^(-1)(0.5) = 60 degrees.

A power factor of 1 indicates a purely resistive load.

For a resistor, the current is in phase with the voltage. Therefore, I(t) = V(t)/R = (V_0/R) sin(ωt).

Power in an electric circuit is given by P = V * I. Here, P = 12 V * 3 A = 36 W.

Power in an electric circuit is given by P = V^2/R. If V is doubled, P becomes (2V)^2/R = 4V^2/R, which is quadrupled.

Range = Measured value ± Uncertainty = 200 g ± 5 g = 195 g to 205 g.

Total uncertainty = 3 * (0.5 m) = ±1.5 m.

Absolute error is the uncertainty in the measurement, which is ±0.2 kg.

Maximum possible error is equal to the uncertainty, which is ±0.2 V.

The absolute error is given as ±0.3 V.

The maximum possible error is the absolute uncertainty, which is ±0.5 V.

The absolute error is given directly as ±0.5 V.

The average kinetic energy of a molecule in an ideal gas is directly proportional to the absolute temperature (T) of the gas.

The average kinetic energy of a molecule in an ideal gas is directly proportional to the absolute temperature of the gas, given by the formula KE_avg = (3/2)kT.

The mean free path is affected by temperature, density, and size of the molecules, but not by the color of the gas molecules.