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Geometry and Shapes for Physics · 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

A street lamp is \(8\,\text{m}\) high. A man \(2\,\text{m}\) tall stands \(3\,\text{m}\) from its foot. How long is his shadow?

2

A concave mirror forms a real image three times as far from the pole as the object. By the similar triangles at the pole, the image is

3

A ray parallel to the axis meets a spherical surface of radius \(20\,\text{cm}\) at a height of \(10\,\text{cm}\). Its angle of incidence is

4

A lens face of radius \(2\,\text{m}\) rests on a flat plate. How far does it stand above the plate at \(2\,\text{cm}\) from the contact?

5

The volume of a sphere of radius \(3\,\text{cm}\) is

6

A drop of radius \(2\,\text{mm}\) has how much surface for each mm³ of water?

7

A small lamp lights a page. The page is moved to three times the distance. The light on each square centimetre becomes

8

A point charge \(q\) sits at the centre of a cube. The flux through one face is

9

A figure draws \(x\) to the right and \(y\) up the page. For right-handed axes, \(z\) points

10

A positive charge moves along \(+x\) in a magnetic field along \(+y\). The magnetic force on it points along