A compound microscope is an optical instrument used for observing highly magnified images of tiny objects. It consists of two convex lenses. The lens near the object is called the objective and the lens near the eye is called the eyepiece. The magnifying power of a compound microscope is given by $m = m_o m_e$, where $m_o$ is the magnification produced by objective lens and $m_e$ is the magnification produced by eyepiece. The expression for $m_e$ depends on whether the final image is formed at the near point or at infinity (normal adjustment). (i) (a) A compound microscope consists of an objective lens of focal length $f_o = 2\cdot0\text{ cm}$ and an eyepiece of focal length $f_e = 6\cdot25\text{ cm}$ separated by a distance of $15\text{ cm}$. How far should an object be placed from the objective so that the final image is formed at infinity ? (A) $3\cdot45\text{ cm}$ (B) $5\text{ cm}$ (C) $1\cdot29\text{ cm}$ (D) $2\cdot59\text{ cm}$