A $0\mathrm{.}0100$ kg wire, $2\mathrm{.}00$ m long, is fixed at both ends and vibrates in its simplest mode under a tension of $225$ N$.$ When a vibrating tuning fork is placed near the wire, a beat frequency of $4\mathrm{.}94$ Hz is heard.

$($a$)$ What could be the frequency of the tuning fork?

Hz $($smaller frequency$)$

Hz $($larger frequency$)$

$($b$)$ What should the tension in the wire be if the beats are to disappear?

N $($smaller tension$)$

N $($larger tension