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String is in fundamental mode of vibration then velocity is directly proportional to _______ (a) Square root of tension (b) Square root of length (c) Square of tension (d) Square root of linear density

String is in fundamental mode of vibration then velocity is directly proportional to _______
(a) Square root of tension
(b) Square root of length
(c) Square of tension
(d) Square root of linear density

Grade:Upto college level

2 Answers

Arun
25763 Points
11 months ago
Since the speed of a wave on a string is inversely proportional to the square root of the linear mass density, the speed would be higher in the low linear mass density of the string. Shown below are three waves that were sent down a string at different times. The tension in the string remains constant
Vikas TU
14149 Points
11 months ago
The linear mass density decreases. If L remains fixed, then the combined effects of increased tension and decreased linear mass density results in the wave velocity increasing, which, for a given driving frequency, means a longer resulting wavelength.

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