Question

Force produces a change in the shape of the body without changing its volume, strain produced is called what the (longitudinal strain ,shearing strain, volumetric strain, normal stress? Give reason

Answer 1

The question makes no sense.
Even though, i guess that your question is

A force produces a change in the shape of the body without changing its volume. Here the strain produced is called ? (longitudinal strain ,shearing strain, volumetric strain, normal stress)
Give reason

And the answer is shearing strain.
because shearing strain is the angle through which a face originally perpendicular to the fixed face is turned.
Longitudinal strain is when the change is along the length.
Volumetric strain involves the change in volume
The question is about stress so the choice normal stress can be avoided.