Step 1: Understand the properties of Quantum dots
Quantum dots are semiconductor nanocrystals whose optical properties are strongly dependent on their size and shape. Smaller quantum dots emit shorter wavelengths (bluer light), while larger dots emit longer wavelengths (redder light).
Step 2: Eliminate the correct statements
(1) is true: Quantum dots are known for their excellent resistance to photobleaching.
(2) is true: Due to their tunable band gaps, quantum dots can emit different wavelengths depending on size.
(3) is true: Quantum dots are indeed nanocrystals of varying sizes.
Step 3: Identify the incorrect statement
(4) is NOT true: The fluorescence properties of quantum dots do depend on their size, which directly affects their emission wavelength.