Distance = Speed × Time = 10 m/s × 15 s = 150 m.

Distance = Speed × Time = 30 m/s × 15 s = 450 m.

Using the formula m1c1T1 + m2c2T2 = (m1 + m2)cT, we find T = (200*80 + 300*20) / (200 + 300) = 40°C.

Distance = ut + (1/2)at². Here, u = 0, a = (25-0)/10 = 2.5 m/s². Distance = 0 + (1/2)(2.5)(10²) = 125 m.

Using Ohm's Law (V = I * R), V = 2 A * 5 Ω = 10 V.

Total distance = 15 km + 40 km = 55 km; Total time = 1 h + 2 h = 3 h; Average speed = Total distance / Total time = 55 km / 3 h = 18.33 km/h.

Sound travels faster in water than in air due to higher density.

Power is given by P = I^2 * R. Here, P = (3 A)^2 * 2 Ω = 9 * 2 = 18 W.

Time = distance/speed = 1000 m / 340 m/s ≈ 2.94 s.

Wavelength in medium = Wavelength in vacuum / n. Thus, λ = 600 nm / 1.33 ≈ 450 nm.

The total resistance in parallel is given by 1/R_total = 1/R1 + 1/R2. Thus, 1/R_total = 1/6 + 1/3 = 1/2, so R_total = 2 ohms.

Total resistance R_total = R1 + R2 = 4 Ω + 8 Ω = 12 Ω. Using Ohm's Law, I = V/R = 12 V / 12 Ω = 1 A.

In an adiabatic process, as the temperature decreases, the pressure also decreases due to the ideal gas law.

Change in internal energy (ΔU) = Q - W = -200 J - 500 J = -300 J.

Using the formula sin(c) = n2/n1, we find sin(c) = 1/1.5, thus c = sin^(-1)(2/3) ≈ 41.8 degrees.

A sound that is 10 times more intense than the reference level is 10 dB.

In series, the equivalent resistance is the sum: R_eq = R1 + R2 = 4 Ω + 6 Ω = 10 Ω.

In series, the equivalent resistance is the sum: R_eq = R1 + R2 = 4 Ω + 6 Ω = 10 Ω.

Using the lens formula 1/f = 1/v - 1/u, we find f = -20 cm.

The capacitance (C) of a parallel plate capacitor is given by C = εA/d, where ε is the permittivity, A is the area of the plates, and d is the distance between them.

Latent heat of fusion (L) = Q/m = 2400 J / 80 g = 30 J/g.

The magnetic field at the center of a circular loop is given by B = (μ₀ * I) / (2 * R). Using μ₀ = 4π x 10^-7 Tm/A, B = (4π x 10^-7 * 5) / (2 * 0.1) = 0.1 T.

The magnetic field at the center of a circular loop is given by B = (μ0I)/(2r).

The bouncing back of sound waves from a surface is called reflection.

Power (P) is calculated as P = V * I. Thus, P = 120 V * 3 A = 360 W.

Resistance R = ρ * (L/A). Here, R = (1.7 x 10^-8 Ωm) * (2 m / (1 x 10^-6 m²)) = 0.034 Ω.

Specific heat capacity (c) = Q / (m * ΔT) = 500 J / (2 kg * 10°C) = 25 J/kg°C.

In parallel, the total capacitance is the sum: C_total = C1 + C2 = 3 µF + 6 µF = 9 µF.

Sound travels fastest through solids like steel due to closely packed molecules.