Math, asked by 2111rpsharma, 4 months ago

an object of hight 5 cm is held 30 cm away from a converging lens of focal length 10cm. find the position , size and nature of the image formed​
please bta do guys ​

Answers

Answered by Anonymous
13

Answer:

So, the position of image = At 16.66 cm on the opposite side of the lens

Size of image = – 3.3 cm at the opposite side of the lens

Nature of image – Real and inverted

Step-by-step explanation:

Given that⤵️

  • The height of object = 5cm
  • Position of object, u = – 25cm
  • Focal length of the lens, f = 10 cm

Formula⤵️

We know that

1/v – 1/u = 1/f

Substituting the known values in the above equation we get,

1/v + 1/25 = 1/10

=> 1/v = 1/10 – 1/25

=> 1/v = (5 – 2)/50

Hence, 1/v = 3/50

So, v= 50/3 = 16.66 cm

Therefore, the distance of the image is 16.66 cm on the opposite side of the lens.

Now, we know that

Magnification = v/u

Hence, m = 16.66/-25 = -0.66

Also, we know that

m= height of image/height of object

Or, -0.66 = height of image / 5 cm

Hence, height of image = -3.3 cm

The negative sign of height of the image depicts that an inverted image is formed.

So, the position of image = At 16.66 cm on the opposite side of the lens

Size of image = – 3.3 cm at the opposite side of the lens

Nature of image – Real and inverted

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