A string of length ‘I’ and linear density ‘m’ has a fundamental frequency ‘n’ when stretched by tension ‘T’. The fundamental frequency of another string having double the length and double linear density, when same tension is applied is
A string of length ‘I’ and linear density ‘m’ has a fundamental frequency ‘n’ when stretched by tension ‘T’. The fundamental frequency of another string having double the length and double linear density, when same tension is applied is

1.\,\,\frac{n}{2\sqrt{2}}

2.\,\,2n

3.\,\,n/2

4.\,\,n/\sqrt{2}

Solution:  1.\,\,\frac{n}{2\sqrt{2}}