Phase & Frequency of Wave Propagation: Investigating Effects

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atavistic
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Can anyone validate that phase always decreases in the direction of propagation of wave?

Also if i have a sonometre wire in which i develop a transverse wave using a tuning fork and then i immerse the weight into water i.e change the tension, will the frequency also change? I mean frequency only depends on source right?
 
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In meta-materials I think the phase velocity can become negative. So, no.

As for your second question.. likely depends how quickly you alter the tension.
 
Srry but I don't quite follow both your answers. And in the first question I am talking about the simple cases of a plane elastic wave .