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Image formed by converging lens. What is (a) the position, and (b) the size, of

ID: 1561395 • Letter: I

Question

Image formed by converging lens. What is (a) the position, and (b) the size, of the image of a large 7.6-cm-high flower placed 1.00m from a +50.0-mm-focal-length camera lens? Diverging lens. Where must a small insect be placed if a 25-cm-focal-length diverging lens is to form a virtual image 20 cm in front of the lens? Measuring the Wavelength of a Light Source A viewing screen is separated from a double-slit source by 1.2 m. The distance between the two slits is 0.030 mm. The second-order bright fringe (m = 2) is 4.5 cm from the center [a) Determine the wavelength of the light.

Explanation / Answer

Answere 34.1)

As we know that

Camera lens is just a simple convex lens

so,

according to lens equation

1/o + 1/i = 1/f

So by putting values

we have

1/1 + 1/i = 1/0.5

1/i = 2-1 = 1

i = 1 m

magnification = i/o

magnification = 1/1 = 1

so

image the real image is 1*7.6 cm = 7.6 cm tall and inverted

The image is 7.6cm tall, is inverted and 1 m from the lens on the other side of the lens

Answer 34.3)

According to lens equation

1/i + 1/o = 1/f

o = object distance
i = image distance (negativce because virtual image)
f = focal length( negative because diverging lens)
1/i + 1/o = 1/f
1/-20 + 1/o = 1/-25
o = -100 cm

magnification equation:
M=-i/o
= - 20/100
= -0.2

Answer 37.1)

As we know that

y = m*lambda*D/d

Where

y = distance of fringe from center

m = order of fringe

D = distance between screen and slit

d = seperations between slits

So,

lambda = y*d / m*D

lambda = 4.5*10^-2*0.030*10^-3 / 2*1.2

lambda = 0.135*10^-5 / 2.4

lambda = 562.5*10^-9 m