If the radius increases while mass remains constant, g decreases because g = G * M / r^2.

Gravitational acceleration is inversely proportional to the square of the radius. If the radius is halved, g becomes 4 times greater.

The orbital speed v is given by v = √(GM/r). If r is doubled, v decreases by a factor of √2.

Elected members = Total members - Nominated members = 245 - 12 = 233.

Percentage of nominated members = (12/245) * 100 = 4.89%.

Total members = 245, Nominated members = 12. Therefore, Elected members = 245 - 12 = 233.

Percentage of nominated members = (12 / 245) * 100 = 4.89%.

Range = Maximum - Minimum. Therefore, Maximum = Range + Minimum = 15 + 5 = 20.

Range = Maximum - Minimum. Therefore, Maximum = Range + Minimum = 20 + 10 = 30.

Using the Arrhenius equation, if the rate doubles for a 10°C increase, Ea is approximately 40 kJ/mol.

Using the Arrhenius equation, a rule of thumb states that for every 10°C increase in temperature, the rate doubles if Ea is around 40 kJ/mol.

The order of the reaction is third because the rate is proportional to the concentration raised to the power of 3.

The reaction is second-order because the rate depends on the square of the concentration of A.

Induced EMF (ε) = -L(dI/dt) = -3 H * 2 A/s = -6 V.

A constant ratio of consecutive terms indicates that the series is exponential.

The constant ratio of consecutive terms in a geometric series is called the common ratio.

Let A's age be 3x and B's age be 4x. Then, 3x + 4x = 28, giving 7x = 28, so x = 4. Thus, A's age = 3x = 12.

Let A's age be 3x and B's age be 4x. Then, 3x + 4x = 28, so 7x = 28, giving x = 4. Thus, A's age = 3x = 12.

Let A's age be 3x and B's age be 4x. Then, 3x + 4x = 56, giving 7x = 56, so x = 8. Thus, A's age = 3x = 24.

Let A's age be 3x and B's age be 4x. Then, 3x + 4x = 70, giving 7x = 70, so x = 10. Thus, A's age = 3x = 30.

Let the sides be 3x, 4x, and 5x. Then, 3x + 4x + 5x = 36. Thus, 12x = 36, giving x = 3. The longest side is 5x = 15 cm.

If the shortest side is 6 cm, the sides are 6, 8, and 10 cm. Perimeter = 6 + 8 + 10 = 24 cm.

A triangle with sides in the ratio 3:4:5 is a right-angled triangle.

Critical angle θc = sin⁻¹(1/1.33) ≈ 48.6°.

The critical angle θc can be calculated as θc = sin^(-1)(n2/n1) = sin^(-1)(1.00/1.33) ≈ 48.6°.

Speed of light in medium = c/n = (3 x 10^8 m/s) / 1.33 ≈ 2.25 x 10^8 m/s.

The critical angle θc is given by sin(θc) = n2/n1 = 1/1.5, which gives θc ≈ 41.8°.

Speed of light in medium = c/n = (3 x 10^8 m/s) / 1.5 = 2 x 10^8 m/s.

The speed of light in a medium is given by v = c/n. Here, c = 3 x 10^8 m/s and n = 1.5, so v = 3 x 10^8 / 1.5 = 2 x 10^8 m/s.

Wavelength in medium = λ/v = λ0/n = 600 nm / 1.5 = 400 nm.