5. Analyze the frequency response of a thermocouple assuming the bead to be purely spherical. Assume a spatially distributed system i.e. . Compare the attenuation frequency determined here with the value obtained from lumped parameter analysis.

6. A pitot tube is found to have a time constant of ms in the measurement of differential pressure. If the fluid velocity varies with time as m/s ( in seconds) determine the velocity function recorded by the pitot tube. If changes as, m/s find the steady state error in the pitot tube measurement of velocity.

7. Develop an experiment to study growth of a turbulent boundary-layer and the wall shear stress for flow over a rough flat plate. Discuss carefully the characteristics of the roughness elements in terms of their size and distribution. Discuss the choice of the sensors to be used. Comment on the distribution of a given number of points (say, 21) within the boundary-layer.