$1)$ Given the following data file: Student $($Student name, SID, Address, Course $...),$ suppose that: $$ Record size $=80$ bytes, $$ Block size $=2000$ bytes, $$ Total records $=10000$ records, $$ Index field size $=16$ bytes, $$ Pointer size $=4$ bytes. Choice the correct answer from these alternatives: $(0\mathrm{.}5$ Mark for each$)$ a$.$ Find the binary search time required without indexing. A$)7$ block accesses B$)9$ block accesses C$)11$ block accesses D$)13$ block accesses b$.$ Find the binary search time required with indexing. A$)3$ block accesses B$)4$ block accesses C$)5$ block accesses D$)6$ block accesses