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College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000

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Section
BuyFindarrow_forward

College Physics

1st Edition
Paul Peter Urone + 1 other
ISBN: 9781938168000
Textbook Problem

(a) What is the focal length of a magnifying glass that produces a magnification of 3.00 when held 5.00 cm from an object such as a rare coin? (b) Calculate the power of the magnifier in diopters. (c) Discuss how this power compares to those for store-bought reading glasses (typically 1.0 to 4.0 D).

Is the magnifier's power greater, and should it be?

To determine

(a)

To find the focal length of the magnifying glass that produces a magnification of 3 when held 5cm away from an object.

Explanation

Given:

Object distance, u=5cm and magnification m=3.

Formula used:

The formula for magnification is given by:

  m=vu     ...... (1)

Where,

  • m is magnification.
  • v is image distance.
  • u is object distance.

Calculation:

Substitute 5cm for u and 3 for m in equation 1 we get:

  3=v5v=15cm

The expression of thin lens formula is:

  1v1u=1f     ...... (2)

Where,

  • v is the image distance
To determine

(b)

To find the power of the magnifying lens.

To determine

(c)

To discuss how this power compares to those store-bought reading glasses of power 1.0D to 4D.

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