Trick Questions?? A stretched wire vibrates in its fundamental mode at a frequency of 378 Hz. What would be the fundamental frequency if the wire were half as long, its diameter were doubled, and its tension were increased three-fold? AND A beam containing light of wavelengths λ1 and λ2 is incident on a set of parallel slits. In the interference pattern, the fourth bright line of the λ1 light occurs at the same position as the sixth bright line of the λ2 light. If λ1 is known to be 539 nm, what is the value of λ2? for question 1) i know that the relationship describing fundamental mode is: F1= 1/2L * sqrt Ts/U however i cant get over the fact that your not given any real numbers to determine the new fundamental frequency. I have tried t osub those numbers into the equation and manipulate them but i keep getting 1134 Hz for question 2) we know that lamda 1-4 is = lamda2-6 however i figured that lamda 2 would be equal to lamda one but its not. any hints for these questions???