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General ScienceHardAsked in: NDA · NDA-I 2017, GAT

Which one of the following statements is correct about the magnification of an optical microscope?

  1. A.Magnification increases with the increase in focal length of eyepiece
  2. B.Magnification increases with the increase in focal length of objective
  3. C.Magnification does not depend upon the focal length of eyepiece
  4. D.Magnification decreases with the increase in focal length of eyepiece

Correct answer

D. Magnification decreases with the increase in focal length of eyepiece

Explanation

The correct answer is D, Magnification decreases with the increase in focal length of eyepiece. A compound microscope magnifies more when both its lenses have short focal lengths.

In a compound microscope the objective forms a real, enlarged image, and the eyepiece magnifies it further like a simple magnifier. The total magnification is roughly (L/fo) multiplied by (D/fe), where L is the tube length, D is the least distance of distinct vision, 25 cm, fo is the focal length of the objective and fe that of the eyepiece. Since both focal lengths sit in the denominator, a longer focal length of either lens gives a smaller magnification. That is why microscope lenses are small and strongly curved.

A is wrong because a longer eyepiece focal length lowers magnification. B is wrong for the same reason with the objective. C is wrong because the eyepiece's focal length appears directly in the formula.

Exam tip: microscope, both fo and fe small; telescope, fo large and fe small, magnification fo/fe.

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Q2.General ScienceAsked in: NDA · NDA-II 2021, GATMedium

Imagine a current-carrying straight conductor with magnetic field of lines in anti-clockwise direction. Then the direction of current is determined by

  1. A.the Right-Hand Thumb rule and it would be in the downward direction.
  2. B.the Left-Hand Thumb rule and it would be in the downward direction.
  3. C.the Right-Hand Thumb rule and it would be in the upward direction.
  4. D.the Left-Hand Thumb rule and it would be in the upward direction.
Show answer
Correct answer: C. the Right-Hand Thumb rule and it would be in the upward direction.

For a straight wire, the right-hand thumb rule links the current to the circular field lines around it. Hold the wire in the right hand with the thumb along the current; the curled fingers then show the direction of the magnetic field lines, which form concentric circles around the wire.

Q3.General ScienceAsked in: NDA · NDA-II 2023, GATEasy

Which one of the following statements is true for sound waves propagating in air?

  1. A.Sound is an electromagnetic wave and transverse in nature
  2. B.Sound is a mechanical wave and longitudinal in nature
  3. C.Sound is a mechanical wave and transverse in nature
  4. D.Sound is an electromagnetic wave and longitudinal in nature
Show answer
Correct answer: B. Sound is a mechanical wave and longitudinal in nature

Sound needs a material medium to travel, and in air its particles vibrate back and forth along the direction the wave moves.