Question

In a compound microscope with \[f_o = 1.0\ \text{cm}\], \[f_e = 2.0\ \text{cm}\], and tube length \[L = 20\ \text{cm}\], what is the total magnification when the image is formed at infinity?

विकल्प

• 50

• 125

• 500

• 250

Answer 1

Using \[m = m_o m_e = \left(\frac{L}{f_o}\right)\left(\frac{D}{f_e}\right)\] with \[f_o = 1.0\ \text{cm}\], \[f_e = 2.0\ \text{cm}\], \[L = 20\ \text{cm}\], and \[D = 25\ \text{cm}\]: \[m = \frac{20}{1} \times \frac{25}{2} = 250\]. The magnification is 250.