Concepts Of Physics MCQ Edition [Volume 1]PhysicsOptical Instruments
A person has an eye-lens whose maximum focal length exceeds its distance from the retina. This eye is
Options
- Aunstrained for all distances
- Bstrained only for objects at large distances
- Cstrained only for objects at short distances
- Dalways strained while looking at an object
Correct answer
D. always strained while looking at an object
Step-by-step solution
By the lens formula for the human eye, we have 1 v - 1 u = 1 f , where v is the distance of the retina from the eye-lens, u is the object distance, and f is the focal length. For any real object at a distance x from the eye, u = -x ( x > 0 ). Substituting this into the lens formula gives: 1 f = 1 v + 1 x Since x > 0 , it follows that 1 f > 1 v , which implies f The eye is in its relaxed (unstrained) state only when its focal length is at its maximum value, f_ max . The problem states that f_ max > v . However, seei