Answer
They would be $\sqrt2$ greater.
Work Step by Step
The wave speed is directly related to the square of the tension. Thus, if the tension were to be doubled, the wave speed would increase by a factor of $\sqrt2$.
Essential University Physics: Volume 1 (4th Edition)
by Wolfson, Richard
Published by
Pearson
ISBN 10:
0-134-98855-8
ISBN 13:
978-0-13498-855-9
Chapter 14 - For Thought and Discussion - Page 270: 4
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