A fish is 10 cm from the front surface of a spherical fish bowl

In summary, the problem involves a fish located 10 cm from the front surface of a spherical fish bowl with a radius of 20 cm. The question is asking for the apparent location of the fish when viewed from the front of the bowl, and how this location changes when the fish swims 30 cm away from the front surface. The equations used for this problem involve refraction and the definition of s as positive for objects on the incident-light side of the surface. However, the given solution in the manual has a negative value for s, which seems inconsistent. It is concluded that the position of the person viewing the fish is irrelevant, and s should be positive while s' will be negative.
  • #1
charlies1902
162
0

Homework Statement



A fish is 10 cm from the front surface of a spherical fish bowl
of radius 20 cm. (a) How far behind the surface of the bowl does the fish appear
to someone viewing the fish from in front of the bowl? (b) By what distance does
the fish’s apparent location change (relative to the front surface of the bowl) when
it swims away to 30 cm from the front surface?

Homework Equations


(n1/s)+(n2/s')=(n2-n1)/r


The Attempt at a Solution


This problem was in the solution manual. It is one part that I don't understand. for s (object distance) they had it as -10cm, not +10cm. Why is that? In the book, the definition is that "s is positive for objects on the incident-light side of the surface" for refraction. Is this one different because the person is viewing from the other side the fish is on thus flipping the signs?
 
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  • #2


can someone please answer my question.
 
  • #3


charlies1902 said:
This problem was in the solution manual. It is one part that I don't understand. for s (object distance) they had it as -10cm, not +10cm. Why is that? In the book, the definition is that "s is positive for objects on the incident-light side of the surface" for refraction. Is this one different because the person is viewing from the other side the fish is on thus flipping the signs?
I'd say that the book is inconsistent. The position of the person viewing is irrelevant. s should be +; s' will turn out to be negative.
 

FAQ: A fish is 10 cm from the front surface of a spherical fish bowl

How do you measure the distance of a fish from the front surface of a spherical fish bowl?

The distance can be measured using a ruler or measuring tape. Simply place the ruler against the front surface of the fish bowl and measure the distance to the fish.

Why is the distance of the fish from the front surface of the fish bowl important?

The distance is important because it can affect the fish's behavior and well-being. If the fish is too close to the front surface, it may feel cramped and stressed. If it is too far away, it may not be able to reach food or may feel insecure.

How does the shape of the fish bowl affect the distance of the fish from the front surface?

The shape of the fish bowl can affect the distance of the fish from the front surface. In a spherical bowl, the distance will be consistent all around the fish. However, in a rectangular or oval-shaped bowl, the distance may vary depending on where the fish is in relation to the front surface.

Is there an optimal distance for a fish to be from the front surface of a fish bowl?

There is no one optimal distance for all fish species. It is important to research the specific needs and behaviors of your fish to determine the best distance for them. Generally, it is recommended to leave some space between the front surface and the fish to allow for movement and a sense of security.

Can the distance of the fish from the front surface of the fish bowl change over time?

Yes, the distance may change over time as the fish grows or as the environment in the fish bowl changes. It is important to regularly check and adjust the distance to ensure the well-being of the fish.

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