Total Mechanical Energy = Kinetic Energy + Potential Energy = (1/2 * 10 kg * (4 m/s)²) + (10 kg * 9.8 m/s² * 5 m) = 80 J + 490 J = 570 J

Using the formula v = √(2gh) = √(2 * 10 m/s² * 20 m) = √400 = 20 m/s

Momentum (p) = mv = 3 kg * 6 m/s = 18 kg m/s

The capacitance C is defined as C = Q/V.

The charge Q stored in a capacitor is given by Q = CV.

The magnetic dipole moment (μ) is defined as the product of the current (I) flowing through a loop and the area (A) of the loop, μ = I × A.

Frequency (f) = (1/2π)√(k/m) => k = (2πf)² * m = (2π*3)² * 2 ≈ 18 N/m.

Time period (T) = 2π√(L/g) = 2π√(1/9.8) ≈ 2 s

A plane mirror always produces a virtual and erect image, which is the same size as the object.

Potential Energy in Spring (PE) = 1/2 kx^2 = 1/2 * 500 N/m * (0.2 m)^2 = 10 J

Time period (T) = 1 / frequency = 1 / 440 Hz ≈ 0.00227 s

Bernoulli's principle states that an increase in the speed of a fluid results in a decrease in pressure.

Calcium is vital for cell division and is a key component of cell walls, providing structural stability.

Calcium is crucial for maintaining cell wall stability and structure in plants.

Nitrogen deficiency leads to chlorosis, which is the yellowing of leaves due to insufficient chlorophyll production.

During metaphase, chromosomes align at the metaphase plate, preparing for separation.

Ovulation occurs during the ovulatory phase of the menstrual cycle when an egg is released from the ovary.

The endometrium thickens during the luteal phase of the menstrual cycle in preparation for a potential pregnancy.

Decreasing the volume increases the pressure, and according to Le Chatelier's principle, the equilibrium will shift towards the side with fewer moles of gas, which is the right side in this case.

Kp is expressed in terms of the partial pressures of the gases involved in the reaction. For this reaction, Kp = (P_NH3)^2 / (P_N2)(P_H2)^3.

Vapor pressure lowering = (moles of solute / moles of solvent) * P0 = (0.5 / 55.5) * P0 ≈ 0.25 P0.

Using Ohm's Law, V = I * R = 5A * 10Ω = 50V.

Power (P) can be calculated using the formula P = I^2 * R = (3A)^2 * 12Ω = 36W.

Using Ohm's law, V = I * R = 2A * 12Ω = 24V.

Using Ohm's law, I = V/R = 24V/8Ω = 3A.

Using Ohm's law (I = V/R), I = 12 V / 3 Ω = 4 A.

Work Done (W) = Force (F) * Distance (d) = 10 N * 5 m = 50 J

Power (P) = Work Done (W) / Time (t) = 200 J / 5 s = 40 W

Accuracy refers to how close a measured value is to the true value.

Total energy (E) in SHM is proportional to the square of the amplitude (A). If A is doubled, E becomes 4A^2, hence it quadruples.