Which of the following compounds is optically inactive?

Solutions of optically active isomers rotate the plane of polarized light in a polarimeter. Match the following columns $(I)$ with $(II), (III)$,and $(IV)$ correctly:

$(I)$ Optical Activity	$(II)$ Form	$(III)$ Sign	$(IV)$ Rotation
$(A)$ Dextrorotatory	$d$	$(+)$	Right
$(B)$ Laevorotatory	$l$	$(-)$	Left
$(C)$ Optically Inactive (Racemic)	$dl$	$(\pm)$	Zero rotation

Chirality of a carbon compound is because of its

The total number of stereoisomers that can exist for $M$ is:
$M$ is a bicyclic ketone with a methyl group at the bridgehead and two methyl groups at the bridge carbon.

Which of the following can show optical activity?

An enantiomerically pure acid is treated with a racemic mixture of an alcohol having one chiral carbon. The ester formed will be