pH = -log(0.00001) = 5.

pH = -log[H+] = -log(1 x 10^-7) = 7.

θ = tan⁻¹(X/R) = tan⁻¹(40/30) = 53.13°.

In a purely resistive circuit, the voltage and current are in phase, so the phase difference is 0°.

At resonance in a series RLC circuit, the phase difference between voltage and current is 0°.

If they have the same frequency and direction, the phase difference is 0.

The S phase (Synthesis phase) is where DNA replication occurs, resulting in the duplication of chromosomes.

The G1 phase is the first stage of interphase where the cell grows and prepares for DNA replication.

The pKa of acetic acid is approximately 4.76.

Most carboxylic acids have a pKa range of about 4-5.

Aniline has a pKb value around 9, indicating it is a weak base.

Methylamine is a weak base, so its pKb value is less than 7.

To find inflection points, set f''(x) = 0. f''(x) = 6x - 12 = 0, x = 2. f(2) = 4.

Solving the equations simultaneously, we find x = 2 and y = 3. Thus, the point of intersection is (2, 3).

Setting 3x + 1 = -x + 5 gives 4x = 4, thus x = 1. Substituting x back gives y = 4. The intersection point is (1, 4).

Poisson's ratio (ν) = Lateral strain / Longitudinal strain = 0.02 / 0.01 = 2.

Using Ohm's law, V = IR = 2A * 5Ω = 10V.

U = k * (q1 * q2) / r = (9 × 10^9) * (1 × 10^-6 * 2 × 10^-6) / 0.1 = 36 J.

Potential Energy (PE) = mgh = 2 kg × 9.8 m/s² × 5 m = 98 J.

Potential Energy (PE) = mgh = 2 kg × 10 m/s² × 5 m = 100 J.

Power (P) is given by P = I²R = (2A)² * 6Ω = 4 * 6 = 24W.

Power = V × I × Power Factor = 230V × 5A × 0.8 = 920W.

Power factor = R/Z = 5/√(5² + 5²) = 5/√50 = √2/2.

Power factor = R/Z = 5 / √(5² + 5²) = 5 / √50 = 0.707.

The power factor is cos(60°) = 0.5.

Power = Work / Time = 1200 J / 30 s = 40 W.

Power = Work / Time = 3000 J / 15 s = 200 W.

The prefix for 10^6 is Mega (M).

Pressure (P) = Force/Area = 100 N / 5 m² = 20 Pa.

Pressure = Force/Area = 200 N / 4 m² = 50 Pa.