GATE Electronics and Communications (EC) 2018 Solved Paper

A band-limited low-pass signal x(𝑡) of bandwidth 5 kHz is sampled at a sampling rate 𝑓_𝑠. The signal x(𝑡) is reconstructed using the reconstruction filter H(𝑓) whose magnitude response is shown below:

The minimum sampling rate f_s(in kHz) for perfect reconstruction of x(t) is _______.