A student observed 24cells using microscope whose eyepiece lens magnification is x10 and lower power objective lens magnification x35. Calculate the number of cells he likely to observe under high power objective lens magnification of x45
Question
A student observed 24cells using microscope whose eyepiece lens magnification is x10 and lower power objective lens magnification x35. Calculate the number of cells he likely to observe under high power objective lens magnification of x45
Solution
The total magnification of a microscope is calculated by multiplying the magnification of the eyepiece lens by the magnification of the objective lens.
In the first scenario, the student is using a microscope with an eyepiece lens magnification of x10 and a lower power objective lens magnification of x35. Therefore, the total magnification is 10 x 35 = 350 times.
The student observed 24 cells under this total magnification.
In the second scenario, the student is using a microscope with the same eyepiece lens magnification of x10 but a higher power objective lens magnification of x45. Therefore, the total magnification in this case is 10 x 45 = 450 times.
To find out how many cells the student is likely to observe under this higher total magnification, we need to calculate the ratio of the two total magnifications and multiply it by the number of cells observed under the lower total magnification.
The ratio of the two total magnifications is 350/450 = 0.78 (rounded to two decimal places).
Therefore, the student is likely to observe 24 x 0.78 = 18.72 cells under the higher total magnification.
Since it's not possible to observe a fraction of a cell, we can round this number to the nearest whole number. So, the student is likely to observe approximately 19 cells under the high power objective lens magnification of x45.
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