Question

please answer a-c

(8%) Problem 7: A specific slide projector has a 100 mm focal length lens. Status re for view Completed Completed Completed 339. Part(a) How far away is the screen in meters, if a slide is placed 720 mm from the lens and produces a sharp image? d- Grade Sun De Penti 7. 9 COO) Amma an acos 4 cota 5 cosh tan + a ) Degrees Radios 11 Fedded perek Mus: deductes per un semang 33 Part() If the slide is 14.0 by 36.0 mm, what is the image's smaller dimensioni meters? 33 Parte) If the slide is 24.0 by 36.0 mm, what is the pe's large dimension is neten

Answer 1

a)

Slide projecters use convex lens. Here the focal length of the lens is given as 100 mm

Using Lens formula:

$\frac{1}{v} - \frac{1}{u} = \frac{1}{f}$

Taking right side of lens as positive and left side of lens as negative.

u = -120 mm (Since, object is being placed on left side of lens)

f = +100 mm (Focal length of convex lens is positive)

Substituting values:

$\frac{1}{v} + \frac{1}{120} = \frac{1}{100}$

$\frac{1}{v} = \frac{1}{100} - \frac{1}{120}$

$\frac{1}{v} = \frac{120-100}{100*120}$

$\frac{1}{v} = \frac{20}{12000}$

$\frac{1}{v} = \frac{1}{600}$

So, the screen should be placed at a distance of 0.6 m from the lens on the right side to get a clear and bright image.

b)

Magnification in convex lens is given by: m = v/u, where v = image distance and u = object distance.

So, m = 600/-120 = -5, The negative sign indicates that the image will be inverted.

So, if object dimension is 24 by 36 mm, then image dimension = 5 * object dimension = 120 by 180 mm

So, the smaller dimension of image in metres = 0.12 m

c)

Also, the larger dimension of image in metres = 0.18 m