Numerical Problems/ICSE/Class 9
Created by Titas Mallick
Biology Teacher • M.Sc. Botany • B.Ed. • CTET (CBSE) • CISCE Examiner
Created by Titas Mallick
Biology Teacher • M.Sc. Botany • B.Ed. • CTET (CBSE) • CISCE Examiner
Numerical Problems - Cell
A diagram of a cell shows its image size as 50 mm. If the magnification of the diagram is 500X, what is the actual size of the cell in micrometers (µm)?
Solution:
Magnification = Image Size / Actual Size
Rearranging the formula to find Actual Size: Actual Size = Image Size / Magnification
Given:
Actual Size = 50 mm / 500 = 0.1 mm
To convert millimeters to micrometers (1 mm = 1000 µm): Actual Size = 0.1 mm * 1000 µm/mm = 100 µm
Therefore, the actual size of the cell is 100 micrometers.
An actual bacterium is 2 µm long. If its image under a microscope appears to be 10 mm long, what is the magnification of the microscope?
Solution:
Magnification = Image Size / Actual Size
First, ensure both sizes are in the same units. Let's convert millimeters to micrometers.
Magnification = 10,000 µm / 2 µm = 5000X
Therefore, the magnification of the microscope is 5000X.
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