The solid sphere has a smaller moment of inertia compared to the hollow sphere, thus it accelerates faster and reaches the bottom first.

The hollow sphere has a greater moment of inertia, resulting in less acceleration compared to the solid sphere.

Since A^2 = I, A is invertible because the inverse of A is A itself.

The determinant of a matrix is the product of its eigenvalues. Thus, det(A) = 1 * (-1) = -1.

The trace of a matrix is the sum of its eigenvalues. Therefore, trace(A) = 3 + 5 = 8.

The trace of a matrix is the sum of its eigenvalues. Thus, trace(A) = 2 + 3 + 4 = 9.

Leading zeros are not significant. The significant figures are 5, 0, 0, which gives a total of 3 significant figures.

The number 0.0600 m has 3 significant figures. The leading zeros do not count, but the trailing zeros after the decimal point do.

The number 150.0 has 4 significant figures because the trailing zero after the decimal point counts as significant.

2.5 meters is equal to 250 centimeters.

2.5 m is equal to 2500 millimeters.

2.5 m is equal to 2500 mm (2.5 m × 1000 mm/m).

The uncertainty is 0.1 cm, as the last digit is in the tenths place.

The absolute error is given as 5 m.

Maximum possible error is equal to the uncertainty, which is ±0.2 cm.

Using the lens formula 1/f = 1/v - 1/u, we have 1/f = 1/40 - 1/(-60) = 1/40 + 1/60 = 1/24. Therefore, f = 24 cm.

A negative focal length indicates that the lens is a concave lens.

Power (P) = 1/f, so f = 1/P = 1/(-2) = -0.5 m = -50 cm.

A negative power indicates a concave lens.

Using Snell's law: n1 * sin(θ1) = n2 * sin(θ2), 1 * sin(60°) = 1.33 * sin(θ2) => sin(θ2) = (sin(60°)/1.33) ≈ 0.577, θ2 ≈ 35.0°.

Since the angle of incidence (70°) is greater than the critical angle (approximately 41.8°), total internal reflection occurs.

The critical angle for diamond to air is sin⁻¹(1/2.42) ≈ 24.4°. Since 70° > 24.4°, total internal reflection will occur.

The intensity of the central maximum is greater than that of the other maxima in a diffraction pattern.

Slope m = (3 - 1) / (2 - 1) = 2. Using point-slope form: y - 1 = 2(x - 1) => y = 2x - 1.

A liquid droplet takes the shape of a sphere because this shape minimizes the surface area for a given volume, thus minimizing surface energy.

In a perfectly spherical droplet, the cohesive forces are balanced, resulting in a net force of zero.

A high surface tension indicates strong intermolecular forces, as these forces are responsible for the cohesive behavior of the liquid.

Work done = Surface Tension × Change in Area = 0.05 N/m × 1 m² = 0.05 J.

According to Ampere's Law, the magnetic field B at a distance r from a long straight conductor carrying current I is given by B = μ₀I/(2πr).

According to Ampere's Law, the magnetic field B around a long straight conductor is given by B = μ₀I/(2πr).