Gravitational potential V = -g * r = -10 * 2 = -20 J/kg.

The gravitational potential V is related to the gravitational field strength g by V = -g * r. If we consider r to be 1 meter, V = -10 * 1 = -10 J/kg.

F is inversely proportional to r². If r is doubled, F becomes F/4 = 20 N / 4 = 5 N.

Using V = -g * r, we have -15 = -3 * r, thus r = 15/3 = 5 m.

Using V = -g * r, we have -20 = -4 * r, thus r = 20/4 = 5 m.

Using V = -g * r, we have -30 = -5 * r, thus r = 30/5 = 6 m.

The gravitational field strength can be found using the relation E = -dV/dr. If V = -30 J/kg, E = 3 N/kg.

Using the relation HCF * LCM = Product of the numbers, we have LCM = (24 * 36) / 12 = 72.

The product of the three numbers = HCF * LCM = 7 * 420 = 2940.

If the HCF is 1, it means the two numbers are coprime, meaning they have no common factors other than 1.

Let the two numbers be 5x and 5y. Then, HCF(5x, 5y) = 5 and LCM(5x, 5y) = 100. This gives xy = 20. The pairs (x, y) that satisfy this are (4, 5) or (5, 4), leading to the sum 5(4 + 5) = 45.

Using the relationship between HCF, LCM, and product: HCF * LCM = Product. Thus, LCM = 100 / 5 = 20.

Using the relation HCF * LCM = Product of the numbers, we have LCM = 1000 / 5 = 200.

The numbers can be 16 and 24, as their HCF is 8 and LCM is 48.

Using the relationship between HCF, LCM, and the product of two numbers: LCM = Product / HCF = 288 / 8 = 36.

Volume of a cylinder = πr²h. If height is doubled, volume becomes 2πr²h, which is double the original volume.

The area of a triangle is given by (1/2) * base * height = (1/2) * 10 * 12 = 60 cm².

A3 in hexadecimal is calculated as 10*16^1 + 3*16^0 = 160 + 3 = 163.

Magnification (m) = v/u = 1 when image distance equals object distance.

Using the lens formula 1/f = 1/v - 1/u, we have 1/f = 1/40 - 1/(-30) = 1/40 + 1/30. Solving gives f = 20 cm.

Expected new cases = (Incidence rate × Population) / 1000 = (3 × 50000) / 1000 = 150.

Xl = 2πfL = 2π × 60 × 0.5 = 31.42 ohms.

Inductive reactance X_L = 2πfL = 2π(50)(2) = 628 Ω.

Inductive reactance (X_L) is given by X_L = 2πfL. If the inductance (L) is doubled, X_L will also double.

Total impedance Z = √(R² + (XL)²) = √(10² + 30²) = √(100 + 900) = √1000 = 31.62Ω.

Price after one year = Current Price * (1 + Inflation Rate) = 200 * (1 + 0.05) = 200 * 1.05 = $210.

With a 5% inflation rate, a $100 product will cost $100 + ($100 * 0.05) = $105 after one year.

At destructive interference, the intensity is zero because the waves cancel each other out.

Doubling the intensity of light increases the number of photons incident on the surface, which in turn increases the number of emitted electrons, assuming the frequency is above the threshold frequency.

Doubling the intensity of light increases the number of photons incident on the surface, which in turn increases the number of emitted electrons, assuming the frequency is above the threshold frequency.