Lucy has three sources of sound that produce pure tones with wavelengths of 60 cm, 100 cm, and 124 cm. She also has an assortment of narrow tubes that are closed off at one end but are open at the other. After experimenting, Lucy notices that each tone will resonate with tubes with some lengths but not with others. For each wavelength, determine which tube lengths, if any, will resonate with the sound of that wavelength.

a. 60 cm, 100 cm, and 124 cm

b. 30 cm, 50 cm, and 62 cm

c. 120 cm, 200 cm, and 248 cm

d. 90 cm, 150 cm, and 186 cm