Using Snell's law, sin(θc) = n2/n1 = 1.00/2.42. Thus, θc ≈ 24.4°.

Since sin(30°) < sin(θc) where θc = sin⁻¹(1/1.5) ≈ 41.8°, it will not undergo total internal reflection.

Growth rate = (10 - 2) / 4 = 2 cm per day.

Total sales = 1000 + 1500 + 2000 + 2500 + 3000 = 10000 units.

The longer part is (3/5) * 50 = 30 cm, since the total ratio is 3 + 2 = 5.

The angle formed between the tangent to the drop surface and the solid surface is known as the contact angle, which indicates the wettability of the surface.

Using the formula h = 2T/(ρgr), we can calculate the height of the liquid column.

Using the formula ΔP = 2γ/r, ΔP = 2 × 0.03 N/m / 0.1 m = 0.6 Pa.

Using A = P(1 + r)^t, A = 5000(1 + 0.05)^3 = 5000 * 1.157625 = $5788.13, which rounds to $6500.

Using A = P(1 + r)^t, we find A = 5000(1 + 0.06)^3 = 5000 * 1.191016 = $5955.08, which rounds to $6100.

Interest = Principal * Rate * Time = 5000 * 10/100 * 4 = $2000.

Using A = P(1 + r)^n, A = 8000(1 + 0.07)^4 = 8000 * 1.3107961 ≈ $10486.37, which rounds to $11000.

Simple Interest = P * r * t = 2000 * 0.08 * 4 = 640.

At the same latitude, the climate is generally similar, although local factors can cause variations.

Latitude does not affect time; both locations at the same longitude will have the same time.

90 degrees West is 90/15 = 6 hours behind GMT.

The magnetic field around a long straight conductor is given by B = μ₀I/(2πr).

The magnetic field due to a long straight conductor is given by B = μ₀I/(2πr).

Using the right-hand rule, the magnetic field direction at a point above the wire is away from the wire.

The magnetic field around a long straight wire is given by B = μ₀I/(2πr).

Using Gauss's law for a cylindrical surface around the wire, the electric field E at a distance r is E = λ/(2πε₀r).

As the loop enters the magnetic field, the rate of change of magnetic flux increases, leading to an increase in induced EMF.

As the loop enters the magnetic field, the magnetic flux through the loop increases, leading to an increase in induced EMF.

As the loop enters the magnetic field, the change in magnetic flux increases, leading to an increase in the induced current.

As the loop enters the magnetic field, the area of the loop within the field increases, leading to an increase in magnetic flux and thus an increase in the induced current according to Faraday's law.

As the loop enters the magnetic field, the area exposed to the magnetic field increases, leading to an increase in the induced EMF.

A changing magnetic field induces an electromotive force (EMF) in the loop, a phenomenon known as electromagnetic induction.

This is an example of electromagnetic induction, where a changing magnetic field induces an electromotive force (EMF) in the loop of wire.

When a loop of wire is placed in a changing magnetic field, electromagnetic induction occurs, generating an electromotive force (EMF) in the loop.

Effective magnetic flux (Φ) = B * A * cos(θ) = B * A * cos(60°) = 0.5 B A.