Using the lens maker's formula, f = R/(n-1) = 30/(1.5-1) = 30/0.5 = 60 cm.

Focal length f = R/2 = 30 cm / 2 = 15 cm.

The focal length (f) of a spherical mirror is given by f = R/2. Here, R = 40 cm, so f = 40/2 = 20 cm.

The distance from the center of the Earth to a geostationary satellite is approximately 42000 km.

g = G * M / R²; if R is doubled, g becomes g/4.

Gravitational force is inversely proportional to the square of the radius. If the radius is doubled, the force becomes 1/4 of the original.

Gravitational force is inversely proportional to the square of the radius. If radius is doubled, F becomes F/4.

The orbital speed v of a satellite is given by v = sqrt(GM/(R+h)), where M is the mass of the Earth and G is the gravitational constant.

A geostationary satellite orbits at a height of approximately 36,000 km above the Earth's surface, which is about R (the radius of the Earth) plus the height of the satellite.

The gravitational force acting on the satellite is given by Newton's law of gravitation, which states that F = G * (M * m) / (R + h)^2, where M is the mass of the Earth and m is the mass of the satellite.

At a height R above the Earth's surface, the gravitational acceleration is g/4, derived from the formula g' = g(R/(R+h))^2.

The radius of a geostationary orbit is approximately 3R, where R is the radius of the Earth.

Gravitational acceleration is inversely proportional to the square of the radius, so it would be quartered.

The gravitational force is inversely proportional to the square of the distance. If the radius doubles, the force decreases to one-fourth.

Weight is proportional to 1/r^2; if the radius doubles, the weight becomes four times less.

Weight is inversely proportional to the square of the radius. If radius increases by 50%, weight decreases by 25%.

Gravitational acceleration is inversely proportional to the square of the radius. If the radius doubles, g becomes 1/(2^2) = 1/4 of the original value.

Gravitational acceleration g = GM/R². If R increases, g decreases.

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.

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

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

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

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.

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