Tensile strength is inversely proportional to the cross-sectional area. Halving the diameter reduces the area to a quarter, thus tensile strength quadruples.

If the distance d is halved, the capacitance C = εA/d will double.

According to the inverse square law, if the distance is doubled, the force becomes 1/(2^2) = 1/4 of the original force.

The potential difference (V) between the plates is given by V = Ed, where E is the electric field and d is the distance between the plates.

For the reverse reaction, Kc is the reciprocal of the forward reaction. Therefore, Kc (reverse) = 1/Kc (forward) = 1/10 = 0.1.

The time period (T) is the reciprocal of frequency (f). Therefore, T = 1/f = 1/50 Hz = 0.02 s.

Inductive reactance (X_L) is given by X_L = 2πfL. If the inductance (L) is doubled, X_L will also double.

Resistance (R) is directly proportional to length (L). If length is doubled, resistance also doubles.

Average induced emf = -ΔΦ/Δt = -(0.2 - 0.5)/2 = 0.15 V = 150 V.

The charge (Q) stored in a capacitor is directly proportional to the potential difference (V) across it, given by Q = CV.

The focal length f of a lens is given by f = R/2. Therefore, f = 20 cm / 2 = 10 cm.

The focal length (f) of a mirror is given by f = R/2. For a convex mirror, R is positive, so f = 20 cm / 2 = 10 cm.

According to Ohm's Law, if the resistance (R) is doubled and the voltage (V) remains constant, the current (I) will be halved (I = V/R).

Using Raoult's Law: P_solution = X_solvent * P_solvent. X_solvent = P_solution / P_solvent = 80/100 = 0.8, thus X_solute = 1 - X_solvent = 0.2.

Total resistance R = 4Ω + 12Ω = 16Ω. Voltage V = I * R = 2A * 16Ω = 32V.

Using the formula for parallel resistors, 1/R_eq = 1/R1 + 1/R2 = 1/4 + 1/6 = 5/12, R_eq = 12/5 = 2.4Ω.

Activation energy is the minimum energy required to initiate a chemical reaction.

Power P = V^2/R = 5^2/10 = 25/10 = 2.5W.

The voltage drop across the resistor is equal to the battery voltage, which is 15V.

The total resistance is 15Ω. The current I = V/R = 15V/15Ω = 1A. Voltage drop across 10Ω = I * R = 1A * 10Ω = 10V.

Power P = V^2/R = 24^2/8 = 576/8 = 72 W.

Using Ohm's Law, R = V/I = 24V / 6A = 4Ω.

In a circuit with an inductor, the current increases gradually due to the inductor's opposition to changes in current.

Using Ohm's Law, V = I * R = 5A * 10Ω = 50V.

According to Ohm's law, I = V/R. If R is doubled, I will be halved.

Using Ohm's Law, R = V / I = 24V / 3A = 8Ω.

Removing a reactant will shift the equilibrium to the left to produce more reactants, according to Le Chatelier's principle.

According to the first law of thermodynamics, if the internal energy increases, it implies that either work is done on the system or heat is added to the system.

The focal length of a concave lens is considered negative as it diverges light rays.

The focal length of a concave lens is negative, indicating that it diverges light rays.