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

The measurement 150.0 cm has 4 significant figures because the trailing zero after the decimal point is 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.

'c' represents the y-intercept of the line, which is the point where the line crosses the y-axis.

To find the y-intercept, set x = 0. The equation becomes -3y + 6 = 0, thus y = 2.

To find the y-intercept, set x = 0. The equation becomes -4y + 12 = 0, leading to y = 3.

To find the y-intercept, set x = 0. The equation becomes -4y = 12, thus y = -3. The y-intercept is (0, -3).

Setting x = 0 in the equation gives y = 8. Thus, the y-intercept is -8.

Setting y = 0 in the equation gives 5x = 60, thus x = 12.

Rearranging to slope-intercept form gives y = -7/2x + 7, so the slope is -7/2.

Rearranging gives y = (7/3)x + 7. The slope is -7/3.

Rearranging to slope-intercept form gives y = (7/3)x - 7. The slope is -7/3.

The equation is in point-slope form, where the slope m = 4.

The y-intercept is the constant term in the equation, which is 6.

Substituting x = 2 into the equation gives y = -3(2) + 7 = 1.

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

The slope m is calculated as (6-2)/(3-1) = 4/2 = 2.