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If frequency of vibration of string is increased by a factor two, then tension in string will be (a) Half (b) Double (c) One fourth (d) Four times

If frequency of vibration of string is increased by a factor two, then tension in string will be
(a) Half
(b) Double
(c) One fourth
(d) Four times

Grade:Upto college level

2 Answers

Arun
25750 Points
4 years ago
The frequency of a mechanical wave created in a string is given by where μ is the mass per unit length of a string ∴ To double the vibrations, tension T has to be raised by a factor of 4.
Vikas TU
14149 Points
4 years ago
Dear student 
n = 1/2 sqrt(T/m) 
n is directly proportional to sqrt T 
If tension is increased four times, the frequency will become twice.

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