  In this paper, we study light rays in a Kazakov-Solodukhin black hole. To
this end, we use the optical geometry of the Kazakov-Solodukhin black hole
within the Gauss-bonnet theorem. We first show the effect of the deformation
parameter $a$ on the Gaussian optical curvature, and then we use the modern
method popularized by Gibbons and Werner to calculate the weak deflection angle
of light. Our calculations of deflection angle show how gravitational lensing
is affected by the deformation parameter $a$. Moreover, we demonstrate the
effect of a plasma medium on weak gravitational lensing by the
Kazakov-Solodukhin black hole. We discuss that the increasing the deformation
parameter $a$, will increase the weak deflection angle of the black hole. Our
analysis also uncloak how one may find a observational evidence for a
deformation parameter on the deflection angle. In addition, we studied the
rigorous bounds of the Kazakov-Solodukhin black hole for the grey body factor
and also studied the graphical behaviour of the bounds by fixing $l=0$ and
$M=1$ and observed that increasing the deformation parameter $a$ will decrease
the rigorous bound $T_b$ of the black hole.
