Typically the sphere will be made out of material that has a higher index of refraction, than the medium it resides in, and therefore, n2 - n1 will be positive. But in a situation where the medium it resides in has a higher index of refraction that would not be the case.
But sir, the C, which is the center of curvature of the lens is within a denser medium, n1, is it not?? If then, how come the R is negative R and not positive R instead? According to my textbook, if the C is within a denser medium, then the R is supposed to be positive.
+Akagami Ng Textbooks appear to have different sign conventions unfortunately. According to my book (University Physics) it says that if the center of curvature is on the same side of the refracting surface as the outgoing light then the radius of curvature is positive. This one works well with Michel's sign conventions above at least. So either your book must have a completely different set of sign conventions for other distances as well or it might give the wrong answers. Could you quote the exact lines in your book that says this?
Amazing explanation. Thank you!
Isn't it a circle? Half of it bends towards the observer and half of it away from him, no?
Is it correct? can you explain how he changed the sign of 0.5/10 in positive without change the sign of 1/s1?
Both the numerator and denominator were negative. (2 negatives cancel and become positive)
May I ask something? Do we put n₂-n₁ with modulus? Because I found some books written like that, they say the value always taken to be positive
Typically the sphere will be made out of material that has a higher index of refraction, than the medium it resides in, and therefore, n2 - n1 will be positive. But in a situation where the medium it resides in has a higher index of refraction that would not be the case.
@@MichelvanBiezen I see, thanks a lot!!!
But sir, the C, which is the center of curvature of the lens is within a denser medium, n1, is it not?? If then, how come the R is negative R and not positive R instead?
According to my textbook, if the C is within a denser medium, then the R is supposed to be positive.
+Akagami Ng Textbooks appear to have different sign conventions unfortunately. According to my book (University Physics) it says that if the center of curvature is on the same side of the refracting surface as the outgoing light then the radius of curvature is positive.
This one works well with Michel's sign conventions above at least. So either your book must have a completely different set of sign conventions for other distances as well or it might give the wrong answers. Could you quote the exact lines in your book that says this?
if the sphere is made of glass and full of water and have a object in the sphere what will be the situation when i see the object from the air ?
yup I've seen it later, sorry and TY