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11TH GRADE · OPTICS

Lenses and diffraction

Lens formula, magnification, optical power and diffraction grating.

28 minutes17 theory cards
Open interactive lesson

LESSON MATERIAL

Basic Concepts

2

Thin Lens

A transparent optical body whose thickness can be neglected in calculations.

The lens collects or scatters rays; Using the signs of the distances in the formula, you can determine whether the image will be real or imaginary.

Diffraction grating

A periodic structure of a large number of equally spaced slits or streaks.

Waves from multiple slits interfere: bright main maxima appear only at certain angles.

LESSON MATERIAL

Physical quantities

10

Focal length

FF

The distance from the optical center of the lens to the main focus.

Unit: meter · m\mathrm{m}

Distance to object

dd

Distance from lens to object.

Unit: meter · m\mathrm{m}

Image distance

ff

Distance from lens to image.

Unit: meter · m\mathrm{m}

Optical power

DD

The reciprocal of the focal length of the lens.

Unit: diopter · dpfr\mathrm{dpfr}

Linear increase

Γ\Gamma

The ratio of image size to object size.

Unit: dimensionless quantity

Image height

HH

Linear size of the image.

Unit: meter · m\mathrm{m}

Item height

hh

Linear size of an object.

Unit: meter · m\mathrm{m}

Diffraction grating period

dd

The distance between adjacent grating lines.

Unit: meter · m\mathrm{m}

Diffraction angle

φ\varphi

Angle of direction of the diffraction maximum.

Unit: radian · rad\mathrm{rad}

Maximum order

kk

The integer number of the diffraction maximum.

Unit: dimensionless quantity

LESSON MATERIAL

Lesson formulas

5

Thin Lens Formula

1F=1d+1f\frac{1}{F}=\frac{1}{d}+\frac{1}{f}

The optical system relates the focal length to the distances to the object and the image.

Lens power

D=1FD=\frac{1}{F}

Optical power is the inverse of focal length in meters.

Determination of diopter

1dpfr=1m11\,\mathrm{dpfr}=1\,\mathrm{m}^{-1}

One diopter is equal to a reciprocal meter.

Linear lens magnification

Γ=Hh=fd\Gamma=\frac{H}{h}=\frac{f}{d}

Linear magnification is equal to the ratio of the dimensions of the image and the object and the ratio of the corresponding distances.

Diffraction grating formula

dsinφ=kλd\sin\varphi=k\lambda

The position of the main maxima is determined by the grating period, angle, order and wavelength.

DIRECTORY

Related formulas

PRACTICE

Tasks on the topic