In a single slit diffraction experiment, a slit of width \( (0.016 \pm 0.002) \, \text{mm} \) 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: \( \sin(2^\circ) = 0.035 \)]
