Question: Standing wave patterns produced in a medium are constrained to integer or half-integer multiples of resonant wavelengths. If a rope is fixed at both ends

Standing wave patterns produced in a medium are constrained to integer or half-integer multiples of resonant wavelengths. If a rope is fixed at both ends 1 m apart, which wavelength below could not possibly produce a standing wave?

2 m

1/3 m

1/4 m

3 m

Can you explain using math and physics

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