(e) Silicon has a Young's modulus, E, of 179 GPa and a density of 2330 kg.m....

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(e) Silicon has a Young's modulus, E, of 179 GPa and a density of 2330 kg.m³. Q 1(f) (i) What is the mass of a cantilever of length (/) 100 μm, width (w) 10 μm and thickness (t) 1 μm? (ii) Using the formula K = 3EI/L³ where / = wt 3/12/= wt³/12 is the moment of inertia of the cantilever and L is the length of the cantilever, calculate K, the spring constant in N.m¹. (iii) What is the resonant frequency of the cantilever? [15 Marks] The AFM cantilever described in part (e) above is illuminated by light of wavelength of 630 nm from a 1 mW laser. Assuming a dwell time of 1 ms per pixel, estimate the signal-to-shot-noise ratio and hence the smallest detectable cantilever deflection for this system. (e) Silicon has a Young's modulus, E, of 179 GPa and a density of 2330 kg.m³. Q 1(f) (i) What is the mass of a cantilever of length (/) 100 μm, width (w) 10 μm and thickness (t) 1 μm? (ii) Using the formula K = 3EI/L³ where / = wt 3/12/= wt³/12 is the moment of inertia of the cantilever and L is the length of the cantilever, calculate K, the spring constant in N.m¹. (iii) What is the resonant frequency of the cantilever? [15 Marks] The AFM cantilever described in part (e) above is illuminated by light of wavelength of 630 nm from a 1 mW laser. Assuming a dwell time of 1 ms per pixel, estimate the signal-to-shot-noise ratio and hence the smallest detectable cantilever deflection for this system.

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Part e of the question i Mass of the cantilever The mass m of the cantilever can be calculated using ... View the full answer