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Spherical Surfaces and Lenses · 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

Light travels from left to right. A glass surface is hollow towards the incoming light. On the Cartesian convention, its radius of curvature is

2

A glass rod (\(\mu = 1.5\)) has a convex end of radius \(10\,\text{cm}\). An object in air is \(30\,\text{cm}\) from the pole. The image is

3

For light going from air into glass (\(\mu = 1.5\)) through a convex face of radius \(10\,\text{cm}\), the two focal lengths are

4

A parallel beam falls on a solid glass sphere (\(\mu = 1.5\)) of radius \(10\,\text{cm}\). It comes to a focus

5

A small fish is at the centre of a round bowl of water (\(\mu = \tfrac43\)). Ignoring the glass, it appears

6

An equiconvex glass lens (\(\mu = 1.5\)) with radii of \(20\,\text{cm}\) has a focal length of \(20\,\text{cm}\) in air. In water (\(\mu = \tfrac43\)) its focal length is

7

An object stands \(10\,\text{cm}\) from a convex lens of focal length \(20\,\text{cm}\). The image is

8

A convex lens of \(20\,\text{cm}\) and a concave lens of \(30\,\text{cm}\) are placed in contact. The power of the pair is

9

A plano-convex lens of focal length \(20\,\text{cm}\) is silvered on its flat face. It behaves as

10

An object and a screen are \(100\,\text{cm}\) apart. A convex lens gives sharp images at two positions \(40\,\text{cm}\) apart. The focal length is