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The velocity of a wave which maintains consatnt phase at all successive positions during propogation is known as wave velocity or phase velocity.

The velocity of a group of waves which maintains constant poditions during the propogation is known as group velocity.

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Q: What is the difference between group velocity and phase velocity in a stationary wave on a string?
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What affect the speed of sound in a stretched string?

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You've specified that the two forces act horizontally, but you've said nothing about how they're arranged relative to the string. -- Are the forces pulling in opposite directions on opposite ends of the string ? -- Are the forces both acting at the same end of the string, with the other end tied to a wall ? -- Are the forces in the same plane ? If so, is the string also in that plane ? I can give you configurations in which the forces are horizontal, and the tension in the string is anything you want between zero and 2,020 N. In fact, if both ends of the string are fastened to walls, and the horizontal forces push on the center of the string and perpendicular to it, then you can create any tension you want in the string, up to the breaking limit of the walls.

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