I really dont know how to do this one...Can someone please explain? Many thanks!!!
a travelling microscope is focused on a mark on the base of an empty beaker.Now the microscope is raised up by 1 cm.and now for it be focused on the previous mark,how much height of water should be filled to the beaker?
Refractive index of water=4/3
something is missing.
Radius of the beaker?
To find the height of water that should be filled in the beaker for the microscope to be refocused on the previous mark, we can use the concept of refractive index.
The refractive index of water is given as 4/3.
Now let's break down the problem step by step:
Step 1: Determine the change in the position of the microscope.
The microscope is raised up by 1 cm. This means the distance between the mark on the base of the beaker and the microscope has increased by 1 cm.
Step 2: Calculate the change in apparent depth.
When the microscope is raised, the apparent depth of the beaker changes. Apparent depth is given by the formula:
Apparent Depth = Actual Depth / Refractive Index
In this case, the actual depth is the original height of water in the beaker, and the refractive index is 4/3.
Step 3: Find the change in actual depth.
Since the apparent depth has changed by 1 cm, we can calculate the change in actual depth using the formula:
Change in Actual Depth = Change in Apparent Depth x Refractive Index
Step 4: Calculate the height of water to be filled.
To refocus the microscope on the previous mark, we need to restore the original apparent depth. This means we need to add the change in actual depth to the original height of water in the beaker.
Therefore, the height of water to be filled in the beaker can be calculated as:
Height of Water = Original Height + Change in Actual Depth
By following these steps, you should be able to find the height of water that should be filled in the beaker in order to refocus the microscope.