Shown below is the first harmonic of standing waves on a string. (a) By what factor would you have to change the tension in the string to make this the second harmonic? \( T= \) \( T_{0} \) (b) By what factor would you have to change the hanging mass (not the mass of the string) by to make this the second harmonic? \( m= \) \( m_{0} \) (c) By what factor would you have to change the tension in the string to make this the third harmonic? \( T= \) \( T_{0} \) (d) By what factor would you have to change the hanging mass by to make this the third harmonic? \( m= \) \( m_{0} \)