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During determination of refractive index of water by means of a travelling microscope, the focus of the microscope on the bottom mark with the empty beaker has reading x. Reading of microscope is y. When the same mark is focussed on the water filled beaker, the distance between water surface and microscope is l measured by a scale. All readings suffer an error of 1%. The percentage error in the determination of refractive index is n%. Find the value of n.?
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During determination of refractive index of water by means of a travel...
Given:
- The focus of the microscope on the bottom mark with the empty beaker has a reading x.
- Reading of the microscope is y.
- When the same mark is focused on the water-filled beaker, the distance between the water surface and microscope is l measured by a scale.
- All readings suffer an error of 1%.

To Find:
The percentage error in the determination of the refractive index (n%).

Solution:

Step 1: Calculating the Actual Distance
The actual distance between the bottom mark and the microscope can be calculated by subtracting the reading of the microscope (y) from the focus reading on the empty beaker (x):
Actual Distance = x - y

Step 2: Calculating the Apparent Distance
The apparent distance between the bottom mark and the microscope when the water-filled beaker is used can be calculated by adding the actual distance (x - y) to the distance between the water surface and the microscope (l):
Apparent Distance = Actual Distance + l

Step 3: Calculating the Refractive Index
The refractive index of water can be calculated using the formula:
Refractive Index = Actual Distance / Apparent Distance

Step 4: Calculating the Percentage Error
The percentage error in the determination of the refractive index can be calculated using the formula:
Percentage Error = (Actual Value - Measured Value) / Actual Value * 100

In this case, the measured value is the refractive index calculated in step 3, and the actual value is the known refractive index of water.

Step 5: Substituting the Values
Substitute the values obtained from steps 1, 2, and 3 into the formula for the refractive index and calculate the refractive index.

Step 6: Calculating the Percentage Error
Substitute the actual refractive index value and the calculated refractive index value into the formula for the percentage error and calculate the percentage error.

Step 7: Calculate the Value of n
The value of n, which represents the percentage error in the determination of the refractive index, can be obtained from step 6.

This is the solution for finding the value of n, the percentage error in the determination of the refractive index in the given scenario.
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During determination of refractive index of water by means of a travelling microscope, the focus of the microscope on the bottom mark with the empty beaker has reading x. Reading of microscope is y. When the same mark is focussed on the water filled beaker, the distance between water surface and microscope is l measured by a scale. All readings suffer an error of 1%. The percentage error in the determination of refractive index is n%. Find the value of n.?
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During determination of refractive index of water by means of a travelling microscope, the focus of the microscope on the bottom mark with the empty beaker has reading x. Reading of microscope is y. When the same mark is focussed on the water filled beaker, the distance between water surface and microscope is l measured by a scale. All readings suffer an error of 1%. The percentage error in the determination of refractive index is n%. Find the value of n.? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about During determination of refractive index of water by means of a travelling microscope, the focus of the microscope on the bottom mark with the empty beaker has reading x. Reading of microscope is y. When the same mark is focussed on the water filled beaker, the distance between water surface and microscope is l measured by a scale. All readings suffer an error of 1%. The percentage error in the determination of refractive index is n%. Find the value of n.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for During determination of refractive index of water by means of a travelling microscope, the focus of the microscope on the bottom mark with the empty beaker has reading x. Reading of microscope is y. When the same mark is focussed on the water filled beaker, the distance between water surface and microscope is l measured by a scale. All readings suffer an error of 1%. The percentage error in the determination of refractive index is n%. Find the value of n.?.
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