Units and Dimensional Analysis Quiz

Which one of the following is an SI base unit?

• gram

• slug

• newton

• kilogram

The mass of a raindrop is 4 milligrams. Which one of the following statements indicates the correct mass of the raindrop in grams?

• The raindrop has a mass of 4 × 10⁶ grams.

• The raindrop has a mass of 4 × 10⁻³ grams.

• The raindrop has a mass of 4 × 10⁻¹ grams.

• The raindrop has a mass of 4 × 10³ grams.

Which one of the following is the longest length?

• 10 m

• 10² cm

• 10⁴ mm

• 10⁵ micrometer

In the sport of platform diving, a platform is set at a height of 7.3 m above the surface of the water. What is the height, expressed in feet, of the platform?

• 13 feet

• 18 feet

• 24 feet

• 33 feet

Which one of the following choices is equivalent to 24.8 cm?

• 24.8 m

• 2.48 × 10² m

• 24.8 × 10^–1 m

• 24.8 × 10^–2 m

The mathematical relationship between three physical quantities is given by a=b²/c If the dimension of b is; [T]^-1 [L] and the dimension of c is [L]. Which one of the following choices is the dimension of a?

• [L]

• [T]^-2[L]

• [T]^-1[L]

• [T]

The distance d that a certain particle moves may be calculated from the expression d = at + bt², where a and b are constants; and t is the elapsed time. Complete the following statement: The dimensions of the quantities a and b are, respectively,

• [T^-1][L], [T]^-2[L]

• [L], [L]²

• [T]^-3[L], [T]^-2[L]

• [T]^-1[L], [T]^-2[L²]

The length 4.221 cm is added to 0.01 cm. The appropriately rounded sum is

• 4.22 cm.

• 4.2301 cm.

• 4.23 cm.

• 4.2 cm.

The length 3.76 mm is multiplied by 0.05 mm. The appropriately rounded product is

• 0.18 mm²

• 0.2 mm²

• 0.19 mm²

• 0.1881 mm²

To be dimensionally consistent, distance [L], velocity [L/T], and time [T] must be related as follows.

• distance = time/velocity

• distance = velocity/time

• distance = time/velocity²

• distance = velocity × time