The graph below shows the blackbody radiation curves for four stars. The image shows four blackbody curves, plotting the wavelength and relative brightness of stars at various temperatures. The x-axis represents the wavelength in nanometers and the y-axis represents relative brightness. There is a band of color represented as part of the graph vertically, purple, blue, light blue, green, yellow, orange and red from left to right. Curve 1 peaks at a wavelength of 600nm, Curve 2 peaks at a wavelength of ~480 nm, Curve 3 peaks at a wavelength of 500 nm and Curve 4 peaks at a wavelength of 350nm.

Based on the graph, which of these conclusions is correct?

The hotter stars emit radiations of longer wavelengths.
The hotter stars emit radiations of shorter wavelengths.
The coolest stars have wavelengths between 300nm and 400 nm.
The coolest stars have wavelengths between 400nm and 500 nm.