Question 1 (10 marks) Physical quantities Dimensions M L T mass length time temperature Table 2:...

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Question 1 (10 marks) Physical quantities Dimensions M L T mass length time temperature Table 2: Physical quantities and their corresponding dimensions. Based on the physical quantities and their dimensions shown in Table 2, answer the following questions. (a) (1 mark) Write down the dimension of the density of water p. (b) (1 mark) Write down the dimension of the surface tension of water , which is defined as force per unit length. (c) (2 marks) Given that the viscosity , the area A, the speed u, the distance y and the magnitude of force F are related as F = A y' find the dimension of the viscosity to make this equation dimensionally consistent. (d) (3 marks) Find a dimensionless expression in terms of p, u, y and . (e) (3 marks) Find a dimensionless expression in terms of p, , y and . (1) Question 1 (10 marks) Physical quantities Dimensions M L T mass length time temperature Table 2: Physical quantities and their corresponding dimensions. Based on the physical quantities and their dimensions shown in Table 2, answer the following questions. (a) (1 mark) Write down the dimension of the density of water p. (b) (1 mark) Write down the dimension of the surface tension of water , which is defined as force per unit length. (c) (2 marks) Given that the viscosity , the area A, the speed u, the distance y and the magnitude of force F are related as F = A y' find the dimension of the viscosity to make this equation dimensionally consistent. (d) (3 marks) Find a dimensionless expression in terms of p, u, y and . (e) (3 marks) Find a dimensionless expression in terms of p, , y and . (1)