JEE Main201815 Apr 2018Morning ShiftPhysicsRay OpticsActual
A particle is oscillating on the X -axis with an amplitude 2 ~cm about the point x₀=10 ~cm with a frequency . A concave mirror of focal length 5 cm is placed at the origin (see figure) Identify the correct statements: (A) The image executes periodic motion (B) The image executes non-periodic motion (C) The turning points of the image are asymmetric w.r.t the image of the point at x=10 ~cm (D) The distance between the
Options
- A(B), (D)
- B(B), (C)
- C(A), (C), (D)
- D(A), (D)
Correct answer
C. (A), (C), (D)
Step-by-step solution
When object is at 8 ~cm Image V₁= f u u - f = 5 8 8-5 =- 40 3 ~cm When object is at 12 ~cm Image V ₂= f u u - f = 5 12 12-5 =- 60 7 ~cm Separation = | V ₁- V ₂ |= 40 3 - 60 7 = 100 21 ~cm So A , C and D are correct statements.