Focus of Lens Submerged In Water

AI Thread Summary
A glass lens with a power of +5.2 diopters in air has a power of approximately 1.3 diopters when submerged in water. The solution involves using Snell's Law to determine the effective refractive index by dividing the lens's refractive index (1.50) by that of water (1.33). The derivation of the Lensmaker's Equation confirms this result, with the calculation yielding a power adjustment based on the surrounding medium. The key takeaway is that the refractive index ratio is crucial for accurately determining the lens's power in different environments. Understanding these principles is essential for solving similar optics problems.
JSGandora
Messages
92
Reaction score
0

Homework Statement


A glass lens (n=1.50) in air has a power of +5.2 diopters. What would its power be if it were submerged in water?

Homework Equations


Not too sure. May be Lensmaker's Equation, Snell's Law, and Power of a Lens Equation.

The Attempt at a Solution


I'm trying to derive the Lensmaker's Equation with the surrounding substance having index of refraction 1.33 but that didn't work. I also tried changing the index of refraction of the lens so that it was with respect to the speed of light in water rather than in air.
 
Physics news on Phys.org
Haha, I found it.

I have found the solution to be 1.3 diopters. You just divide the refractive index of the lens by that of the water to get the effective refractive index from Snell's Law. That derivation of the Lensmaker's equation holds true so we get \left(\frac{1.5}{1.33}-1\right)(10.4)\approx \boxed{1.3D}. I got the same concept last night without knowing that it was correct because I didn't subtract 1 from the ratio of refractive indices. >.<
 
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Find the refractive index for the lens and find the image distance
Replies
3
Views
2K
Optics: Half Lens in the Air, Half Lens in Water.
Replies
1
Views
2K
Lens-Makers Equation: Finding Focal Length in Different Mediums
Replies
2
Views
3K
Image distance from the hemisphere lens
Replies
9
Views
2K
Solve Snell's Law: Glass Cube Refractive Index = 1.77
Replies
8
Views
5K
Image of an Object Inside Hollow Glass Sphere
Replies
1
Views
2K
Total Internal Reflection and Transmitted Wavelength
Replies
1
Views
787
Converging Meniscus Lens, Filled with Fluid
Replies
1
Views
2K
Why Do Microscopes Use Magnification Labels and Vision Correction Uses Diopters?
Replies
1
Views
2K
Where is the image formed when a lens is placed next to an aquarium?
Replies
5
Views
1K

Hot Threads

Recent Insights

Back
Top