Answer:
a. 0.8 cm
Step-by-step explanation:
The distance of the object from the lens, u = 1 cm
The magnification of the lens, m = 5
The focus of a lens formula is given as follows;
![f = (1)/((1)/(v) + (1)/(v) )](https://img.qammunity.org/2022/formulas/physics/high-school/72766d0nhykx9uvutpi7mwbb663rn3zvx0.png)
The magnification of the lens, m = -v/u
Where;
v = The distance of the image from the lens
Therefore, we have;
v = m × u
∴ v = 5 × 1 cm = 5 cm (on the other side of the lens)
From which we get;
![f = (1)/((1)/(1) + (1)/(5) ) = (5)/(6) \approx 0.8](https://img.qammunity.org/2022/formulas/physics/high-school/kbsx1p9vhadhkbr1iqchgeor3mpov7bh3p.png)
The focal length ≈ 0.8 cm