Answer :
The new frequency of a particular violin string that plays at a frequency 300hz when the tension is doubled is 424.26 Hz.
Frequency is directly proportional to the square root of the tension. So, if the tension doubles, the frequency will increase by a factor of the square root of 2, or approximately 1.414.
To calculate the new frequency, we can use the following formula:
new frequency = old frequency x √(new tension / old tension)
In this case, the old frequency is 300 Hz and the new tension is double the old tension, so we can plug these values into the formula:
new frequency = 300 x √(2 / 1) = 300 x 1.414 = 424.26 Hz
So, the new frequency of the violin string will be 424.26 Hz when the tension doubles.
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