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What is the power of a lens with a focal length of 50 cm?

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Question: What is the power of a lens with a focal length of 50 cm?

Options:

  1. +2 D
  2. +1 D
  3. -2 D
  4. -1 D

Correct Answer: +2 D

Solution:

Power (P) is given by P = 1/f (in meters). Thus, f = 50 cm = 0.5 m, so P = 1/0.5 = +2 D.

What is the power of a lens with a focal length of 50 cm?

Practice Questions

Q1
What is the power of a lens with a focal length of 50 cm?
  1. +2 D
  2. +1 D
  3. -2 D
  4. -1 D

Questions & Step-by-Step Solutions

What is the power of a lens with a focal length of 50 cm?
  • Step 1: Understand that the power of a lens is calculated using the formula P = 1/f.
  • Step 2: Note that 'f' is the focal length of the lens, which is given as 50 cm.
  • Step 3: Convert the focal length from centimeters to meters. Since 100 cm = 1 m, 50 cm = 50/100 = 0.5 m.
  • Step 4: Substitute the focal length in meters into the formula: P = 1/0.5.
  • Step 5: Calculate the power: P = 1/0.5 = 2.
  • Step 6: Since the lens is converging, the power is positive, so P = +2 D.
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