Solution:String length, diameter, density and tension determine the frequency in which it will vibrate. Since other three are fixed, it is the tension that sitarist tries to adjust to tune its natural frequency.
And while playing the Sitar, he changes the effective length of the string by touching the string at different points with his finger. This is how we get different melodious notes (of varying frequency).
Amplitude/intensity of sound is not determined by the tension in the string since it depends on how the Sitarist is playing. Even with a perfectly taut string, he can produce low or very high sound.
But he cannot vary its natural frequency and that's why he has to adjust the tension beforehand. So, the correct answer is (a).