in a the planoconves examples below, we soe that with the curved side to the(far
ID: 1413312 • Letter: I
Question
in a the planoconves examples below, we soe that with the curved side to the(far) Socus rays are very far eer paraual, which leads to peater spherical aberration The lons e used sach that the entrance and exit rays are as close to the sarface normals as , as in the night-hand esample They are not really very different at all. A microsoope collects lighe from an ojoct vary close to the lens, whereas a telescopes collects light from very distant ojects. Both prodace a magnified ntermediary image which is thenmagrified farther. With telescopes, it is critical se collect as provided to illuminane the eeject). Large lennes, to collect lets of light are problenatic (hea espemne, difficult to polish both sides, increased chance of inclusions, saggmp thus igheweight reflactive optlics are used foe telesoopes in difficult to make a microscope reflective because usally, to obtain high magnification, the objoct is usually very close to the objoctive lans, Reflective long-working-lngth ojtis do exist though Refer to the diagram in Q, above. Note tat the (virtual) image of the coin is located directly above the actual cein. Below, one eay from the coin is shown sefracting at the water surface, and the appurent position of the coin is also shown The ray starts from a point at horizoctal distance x from the vertical Inc theough the pont of refraction at the surface, as un We see trigonoxtrically that tan6-D PAGE 2 Snell's law for refraction gives sine,a) (a) When viewod at near-normal incidence 2 1, so we cn use the small-angle approximation sin@ N tan N . Equatonaleduces to and we can we find the apparent depth d from cquation(y -162 mExplanation / Answer
As the light ray from coin after refraction at the surface will bent at an angle given by Snell's law of refraction and as shown in the figure. Then the refracted light will reach our eye. This light will appear such that it was originated from some other point than the actual coin. As eye will see this ray coming in a straight line, hence our eye will see this coin along that straight line which will be the image of the coin.
Apparent depth of coin will be lesser than the actual depth of the coin. All formulas and laws are described above with ray diagram as well.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.