Question

In: Physics

   If the curvature of the lens on each side is the same, what do you...

  1.    If the curvature of the lens on each side is the same, what do you expect for the focal length on each side of the lens? How could you test this?
  2.    Why should you make multiple measurements of the distances to the source and image?
  3.    What is the effect on your measurements if the lens is not mounted perpendicular to the light rays?
  4.    The second method assumes that the light source is at infinity. What is the effect of the light source being a far but finite distance way from the lens? Should this be treated as a systematic uncertainty?

Can someone please help me answer these questions for physics?

Solutions

Expert Solution

  • If both the sides have same radius of curvature then the focal length will be same on both the sides of the lens. it can be checked by allowing a beam of light coming from infinity to pass through the lens and then measuring the distance of the point of convergence from the optical centre of the lens. this distance gives the focal length and we will find that this distance is same on both the sides of the lens.
  • there may be so many types of errors while measuring the distance of source and image from the optical centre of the lens that's why we take multiple measurements of these distances and then we take an average of all these distances to minimise the errors.
  • if the lens is not mounted perpendicularly then the distance of the source and the image from the optical centre of the lens will not be proper.
  • if the source is very far away from the lens but we treat it as at infinity then it will lead to systematic error in the measurement means systematic uncertainty.

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