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Numbers, Units and Estimation · Already know this?

Ten questions, one verdict per topic

Answer all ten without looking anything up. The result tells you, topic by topic, which lessons you may skip and which you should read.

Already know this?

Ten questions. The result tells you which lessons you may skip.

1

The wavelength of green light is \(0.000\,000\,55\,\text{m}\). In scientific notation this is

2

The radius of the Earth is \(6.4 \times 10^6\,\text{m}\). Its order of magnitude is

3

What is \((3 \times 10^4) \times (2 \times 10^{-6})\)?

4

How many significant figures does \(0.0250\,\text{kg}\) have?

5

A reactor makes \(1000\,\text{MW}\) of heat, and each fission gives \(3.2 \times 10^{-11}\,\text{J}\). Roughly how much uranium-235 does it use in a day?

6

A car moves at \(90\,\text{km/h}\). In metres per second this is

7

One unit on an electricity bill, \(1\,\text{kWh}\), is

8

The dimensions of pressure are

9

Which equation must be wrong? Here \(s\) is a displacement, \(u\) and \(v\) speeds, \(a\) an acceleration and \(t\) a time.

10

Dimensional analysis gives the period of a simple pendulum as \(T = k\sqrt{l/g}\). If the length is made four times as large, the period