Units and Measurements

A single slit diffraction experiment is performed to determine the slit width using the equation, bdD=m , where b is the slit width, D the shortest distance between the slit and the screen, d the distance between the mth diffraction maximum and the central maximum, and is the wavelength. D and d are measured with scales of least count of 1 cm and 1 mm, respectively. The values of and m are known precisely to be 600 nm and 3, respectively. The absolute error (in m) in the value of b estimated using the diffraction maximum that occurs for m=3 with d=5 mm and D=1 m is

The dimensions of a cone are measured using a scale with a least count of 2 mm. The diameter of the base and the height are both measured to be 20.0 cm. The maximum percentage error in the determination of the volume is .