The IUPAC name of above compound is 2-bromohex-2-en-4-yne. Now, to assign
E
Z
first assign priority to groups along the double bond.
Since, h.p. groups are in opposite direction. So, E configuration will be assigned to double bond at second position. Hence, full IUPAC name of given compound is 2E-2-bromohex-2-en-4-yne. Hence, correct option is (c).