In a single slit diffraction experiment, a slit of width $$(0.016\pm 0.002)\,\mathrm{mm}$$ is used to measure the wavelength of a monochromatic light source. In the diffraction pattern, the angular distance between the central maximum and first minimum is measured to be $$(2^\circ\pm 40')$$. The value of the fractional error in the measurement of wavelength is:

[Given: $$\sin(2^\circ)=0.035$$]