Given
A person vibrates the end of a string sending transverse waves down the string. If the person then doubles the rate at which he vibrates the string while maintaining the same tension
To find
The speed of the waves
Step-by-step explanation
Since there is no change in medium so the speed remains unchanged.
Since the rate of vibration is doubled so teh wavelength becomes halves
Conclusion
The correct option is
2- is unchanged while the wavelength is halved.