Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Optical Instruments

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Optical Instruments

A person using spectacles with a focal length of +1 m is unable to...

A person using spectacles with a focal length of +1 m+1 \text{ m} is unable to see objects clearly beyond 1 m1 \text{ m}. This situation occurs

Options

  1. Aif the person's vision is normal
  2. Bin each of these cases
  3. Cif the person is nearsighted
  4. Dif the person is farsighted

Correct answer

A. if the person's vision is normal

Step-by-step solution

Using the lens formula:

1v−1u=1f\dfrac{1}{v} - \dfrac{1}{u} = \dfrac{1}{f}

Given the focal length of the spectacles f=+1 mf = +1 \text{ m} and the maximum object distance u=−1 mu = -1 \text{ m}:

1v−1−1=11\dfrac{1}{v} - \dfrac{1}{-1} = \dfrac{1}{1}

1v+1=1⇒1v=0⇒v=∞\dfrac{1}{v} + 1 = 1 \Rightarrow \dfrac{1}{v} = 0 \Rightarrow v = \infty

The spectacles form the image of the object at 1 m1 \text{ m} at infinity. Since the person can see this image clearly but nothing beyond it, their far point must be exactly at infinity.

A far point at infinity is the characteristic of an eye with normal vision.

For a nearsighted (myopic) eye, the far point is at a finite distance, so the maximum visible distance with these spectacles would be less than 1 m1 \text{ m}.

For a farsighted (hypermetropic) eye, the far point is virtual, allowing the person to see objects beyond 1 m1 \text{ m} with these spectacles.

Therefore, this situation occurs if the person's vision is normal.
Practice Optical Instruments on Quantrex Academy →

More from Optical Instruments

A person observes several trees in an open space, with the following details given.… Concepts Of Physics MCQ Edition [Volume 1]When the image is formed at the near point ( 25 cm ) of a normal eye, a simple microscope… Concepts Of Physics MCQ Edition [Volume 1]A child has a near point at 10 cm . Determine the maximum angular magnification the child… Concepts Of Physics MCQ Edition [Volume 1]When the image is formed at the near point ( 25 cm ) of a normal eye, a simple microscope… Concepts Of Physics MCQ Edition [Volume 1]An object is viewed using a simple microscope of focal length 12 cm . To obtain the… Concepts Of Physics MCQ Edition [Volume 1]A simple microscope is rated at 5 X for a normal relaxed eye. Determine its magnifying… Concepts Of Physics MCQ Edition [Volume 1]Determine the maximum magnifying power of a compound microscope equipped with a 25… Concepts Of Physics MCQ Edition [Volume 1]In a compound microscope, the separation between the objective and the eyepiece is… Concepts Of Physics MCQ Edition [Volume 1] Full Optical Instruments list All Concepts Of Physics MCQ Edition [Volume 1] PYQs