Efficiency (η) = Work done / Input heat = 300 J / 500 J = 0.6 or 60%.

Probability = Number of winning tickets / Total tickets = 2/10 = 1/5.

Probability = Number of winning tickets / Total tickets = 3/10.

The range is calculated as (10.0 - 0.5) cm to (10.0 + 0.5) cm, which is 9.5 cm to 10.5 cm.

When a p-n junction is forward biased, the depletion region narrows, allowing current to flow.

First, find the equivalent resistance: 1/R_eq = 1/6 + 1/3 = 1/2, so R_eq = 2Ω. Then, I = V/R_eq = 12V / 2Ω = 6A.

Using the formula 1/R_eq = 1/R1 + 1/R2, we get 1/R_eq = 1/6 + 1/3 = 1/6 + 2/6 = 3/6, thus R_eq = 2Ω.

Y = 1/R + j(ωC - 1/ωL); calculate Y for given values.

Quality factor Q = (1/R) * √(L/C) = (1/50) * √(0.2/50e-6) = 2.

When a PN junction diode is forward biased, the depletion region narrows, allowing current to flow.

An electric field is formed at the junction of p-type and n-type materials due to the diffusion of charge carriers.

An increase in the prey population typically leads to an increase in the predator population due to more available food.

Predators help control the population of prey species, maintaining a balance in the ecosystem.

In a purely capacitive circuit, the current leads the voltage by 90°.

In a purely capacitive circuit, the current leads the voltage by 90 degrees.

Average rate = Δ[A]/Δt = (0.8 - 0.4) / 20 = 0.02 M/min.

Increasing the concentration of a reactant will shift the equilibrium position to the right, favoring the formation of products.

For a first-order reaction, if [A] is halved, the rate also halves.

If the rate decreases to one-fourth when concentration is halved, the reaction is second-order.

Reduction is defined as the gain of electrons, which decreases the oxidation state of the element.

According to Le Chatelier's principle, if the concentration of products increases, the equilibrium will shift to the left to counteract the change.

According to Le Chatelier's principle, if the concentration of products increases, the equilibrium will shift to the left to counteract the change.

According to Le Chatelier's principle, if the concentration of products increases, the system will shift to the left, decreasing the rate of the forward reaction.

According to Le Chatelier's principle, if the concentration of reactants is increased, the equilibrium will shift to the right to favor the formation of products.

According to Le Chatelier's principle, increasing the concentration of reactants will shift the equilibrium position to the right to favor the formation of products.

If the forward reaction is exothermic, the reverse reaction must be endothermic, as it absorbs heat.

For a second-order reaction, t₁/₂ = 1 / (k[A₀]) = 1 / (0.05 * 0.1) = 200 s.

Total resistance in series is R_total = R1 + R2 + R3 = 1 + 2 + 3 = 6Ω.

At resonance in a series RLC circuit, the impedance (Z) is equal to the resistance (R) because the inductive and capacitive reactances cancel each other out.

f0 = 1 / (2π√(LC)) = 1 / (2π√(0.1 × 100 × 10^-6)) = 159.15 Hz.