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Class 12 Exam  >  Class 12 Questions  >  According to the thin lens formula, which one... Start Learning for Free
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According to the thin lens formula, which one of the following is true regarding the focal length of the lens?
  • a)
    f is positive for concave lens
  • b)
    f is negative for convex lens
  • c)
    f is positive for a diverging lens
  • d)
    f is negative for concave lens
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
According to the thin lens formula, which one of the following is true...
Explanation:

The thin lens formula relates the focal length of a lens to the object distance (u) and the image distance (v) from the lens. The formula is given as:

1/f = 1/v - 1/u

where:
f = focal length of the lens
v = image distance
u = object distance

According to the convention used in optics, the focal length of a lens is considered positive if the lens is converging (convex lens) and negative if the lens is diverging (concave lens).

Explanation of Options:

a) f is positive for concave lens: This statement is incorrect. The focal length of a concave lens is negative.

b) f is negative for convex lens: This statement is incorrect. The focal length of a convex lens is positive.

c) f is positive for a diverging lens: This statement is incorrect. Diverging lenses are concave lenses, and the focal length of a concave lens is negative.

d) f is negative for concave lens: This statement is correct. The focal length of a concave lens is negative.

Conclusion:

The correct answer is option 'D' - f is negative for concave lens. According to the thin lens formula and the convention used in optics, the focal length of a concave lens is negative.
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Community Answer
According to the thin lens formula, which one of the following is true...
Thin lens formula is given as:
1/f = 1/v - 1/u
Where u = distance of the object from the optical center of the lens; v = distance of the image from the optical center of the lens; f = focal length of a lens. According to the thin lens formula, f is positive for converging or convex lens and f is negative for a diverging or concave lens.
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According to the thin lens formula, which one of the following is true regarding the focal length of the lens?a)f is positive for concave lensb)f is negative for convex lensc)f is positive for a diverging lensd)f is negative for concave lensCorrect answer is option 'D'. Can you explain this answer?
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