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Consider the following statements regarding the importance of diffusion and choose the correct answer:
1. The exchange of gases takes place by the principle of dependent diffusion
2. The process of diffusion is involved in transpiration of water vapours
3. The ions are absorbed by the simple diffusion during passive salt uptake
4. Diffusion is an effective means of transport of substances over a very short distance and helps in the translocation of food materials
Match List 1 with List 2 and choose the correct answer form the code given below: List 1 (Cultural diffusion) List 2 (Definition) (a) Relocative  1.Upward/downward movement of dispersal through a system of classes or centres (b) Hierarchical Diffusion  2. When acceptance of or information about an innovation spreads throughout the society (c) Expansion Diffusion  3. When expansion affects almost uniformly to all individuals and areas from a source region (d) Contagious Diffusion  4. Geographical transfer of culture traits by movements of people across space
In a gas mixture of hydrogen and oxygen, steady state equimolar counter diffusion is occurring at a total pressure of 100 kPa and temperature of 20°C. If the partial pressures of oxygen at two planes 0.01 m apart, and perpendicular to the direction of diffusion are 15 kPa and 5 kPa, respectively and the mass diffusion flux of oxygen in the mixture is 1.6 * 10–5 kmol/m2.sec, calculate the molecular diffusivity for the system. For equimolar counter current diffusion:
"It is now expected that the variable production cost per unit and the selling price per unit will each increase by 10%, and fixed production cost will rise by 25%. What will be the new break even point?
Selling price - Rs 6 per unit
Variable production cost - Rs 1.20 per unit
Variable selling cost - Rs 0.40 per unit
Fixed production cost - Rs 4 per unit
Fixed selling cost - Rs 0.80 per unit
Budgeted production and sales for the year are 10,000 units."
Which of the following statements are true? a. The correlation coefficient is dependent on the choice of both origin and scale observations. b. The correlation coefficient is dependent on the units of measurements. c. The coefficient of correlation is the square root of the coefficient of determination. d. The zero value of the correlation coefficient cannot estimate the value of the dependent variable.
Determine the pan evaporation from the following data using the Christiansen method. Extra-terrestrial radiation in cm = 47.3cm Coefficient of temperature(Ct) = 1.403 Coefficient for wind velocity (Cw)= 1.2 Coefficient for relative humidity (Ch) = 1 Coefficient for percent of possible sunshine(Cs) = 1.073 Coefficient of elevation(Ce) = 1.014
Which of the following statements are true?
1. The coefficient of rank correlation has the same limits as the Karl Pearson's coefficient of correlation.
2. The coefficient of correlation is independent of the change of origin but not of scale.
3. The covariance between $$X$$ and $$Y$$ is defined as $$\frac{{\sum {xy} }}{n}$$ where, $$x = \left( {X - \overline X } \right),y = \left( {Y - \overline Y } \right)$$      and $$n = $$ no. of paired observations.
4. $${b_{xy}}$$ is called regression coefficient of $$X$$ variable on $$Y$$ variable.
5. If $${b_{xy}}$$ is 0.4 and $${b_{yx}}$$ is 1.6, coefficient of determination would be 0.8.
Select the correct answer:
If the mole fraction of A and B are given as 1/3 and 2/3 respectively and their respective diffusion coefficient are 6 and 3. Calculate the inter-diffusion coefficient (in m2/s)
The measured tracer diffusion coefficient is exactly the same as the self-diffusion coefficient.
Which of the following example is correct about the diffusion? Example 1: The smell of food being cooked reaches us even from a considerable distance.  Example 2: The fragrance of the burning incense sticks spreads all around due to the diffusion of its smoke into the air. Example 3: The smell of perfume spreads due to the diffusion of perfume vapors into the air.