Inside a long solenoid, the magnetic field is uniform and directed along the axis of the solenoid.

The magnetic field inside a solenoid is uniform and directed along the axis of the solenoid.

The magnetic field inside a solenoid is directed from the north pole to the south pole of the solenoid.

The magnetic field inside a solenoid carrying current is given by B = μ₀nI, where n is the number of turns per unit length.

The magnetic field inside a solenoid is directly proportional to the number of turns per unit length, so it doubles.

The length of the solenoid does not affect the strength of the magnetic field inside it; it is determined by the number of turns per unit length, the current, and the permeability of the core material.

The magnetic field strength inside a solenoid is directly proportional to the number of turns per unit length, so doubling the turns doubles the magnetic field strength.

Increasing the number of turns per unit length in a solenoid increases the magnetic field strength.

Inside a long solenoid, the magnetic field is given by B = μ₀nI, where n is the number of turns per unit length.

Using the formula for weak bases, pH = 14 - pKb = 14 - (14 - 4.75) = 5.75.

Mole fraction of solute = moles of solute / (moles of solute + moles of solvent) = 1 / (1 + 9) = 0.1.

Mole fraction of A = moles of A / (moles of A + moles of B) = 3 / (3 + 1) = 0.75.

The addition of a non-volatile solute raises the boiling point of the solvent, a phenomenon known as boiling point elevation.

The presence of a non-volatile solute lowers the vapor pressure of the solvent compared to that of the pure solvent.

Using Raoult's Law, the vapor pressure of the solution is P_total = (0.6 * 100) + (0.4 * 50) = 60 + 20 = 80 mmHg.

The total vapor pressure of a solution is the sum of the partial vapor pressures of its components: 80 mmHg + 20 mmHg = 100 mmHg.

For a spontaneous process, the change in Gibbs free energy (ΔG) is negative.

In a standing wave, the points of maximum displacement are called antinodes, while nodes are points of zero displacement.

The distance between two consecutive nodes in a standing wave is λ/2.

A node is a point in a standing wave where the displacement is always zero.

Nodes in a standing wave are points where there is no displacement, meaning they are points of minimum amplitude.

In a standing wave, nodes are points of zero amplitude, while antinodes are points of maximum amplitude.

If the sum of clockwise moments equals the sum of counterclockwise moments, the object is in equilibrium.

P(Coffee|Tea) = P(Coffee and Tea) / P(Tea) = 0.1 / 0.6 = 0.166.

If a person does not like tea, they must like coffee. Therefore, the probability is 1.

Expected number = 60% of 10 = 0.6 * 10 = 6.

Number preferring tea = 60% of 50 = 0.6 * 50 = 30.

Expected number = 10 * 0.7 = 7.

Number of people who like chocolate = 70% of 200 = 0.7 * 200 = 140.

Number of people who like chocolate = 70% of 200 = 0.7 * 200 = 140.