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The equations of two Regressions lines are




7𝑥 − 16𝑦 + 9 = 0 and 5𝑦 − 4𝑥 − 3 = 0.




Find the coefficient of correlation and the means of x and y

What is the economic rationale of 'Minimum Support Price' in Indian agriculture? Explain in not more than 400 words.

A 10-Newton object moves to the left at 1 m/s. Its kinetic energy is approximately _____ Joules.

 

a. 0.5

b. 1

c. 10

d. more than 10


A 100 kg block is pulled at a constant speed of 5 m/s across a horizontal force by an applied force of 122 N directed 37 o above the horizontal. The rate at which the force does work on the block is.


a. 810 Watts             

b. 490 Watts           

c. 530 Watts        

d. 704 Watt


The average horsepower required to raise a 150 kg drum to a height of 20 m in a time of 1 minute is.



a. 0.5 Hp


b. 1 Hp


c. 0.7 Hp


d. 1.2 Hp



A solid catalyzed gaseous reaction has the form A + B ↔ C (6) assuming the operating condition of the catalyst is such that the external and internal diffusion steps have negligible pressure gradients, propose rate equations for the following cases: (a) The adsorption of A on the catalyst is controlling (b) The surface interaction between adsorbed A and adsorbed B is controlling (c) The desorption of C from the surface is controlling

The reduction of CO2 with H2 on Pt catalysts is described by the equation CO2(G) + H2 (ads) → H2O + CO According to which well-known mechanism does this hydrogenation proceed (with explanation)?

A worker pushes a wood crate of mass 14 kg across a concrete floor with a constant horizontal force of magnitude 40N. In a straight-line displacement of magnitude d= 0.50 m, the speed of the crate decreases from 0.60 m/s to 0.20 m/s.



Find the following:


a. Work done by the worker’s force.


b. Change in the kinetic energy of the crate.


c. Increase the thermal energy of the crate and the floor.


The following data was obtained for the adsorption of nitrogen on alumina at 77 K. The vapor pressure of N2 at 77 K is 1 atm. Estimate the surface area (m2/g) by BET method assuming the area occupied by one N2 molecule to be 16.2 x10-20 m2. (6) Pressure, mm Hg 8 30 50 102 130 148 233 258 330 442 480 Volume adsorbed, cm at STP 103 3 116 130 148 159 163 188 198 221 270 294

Given 𝑑𝑦





𝑑𝑥





= 𝑥 𝑥





2 + 𝑦





2





𝑒





−𝑥





and 𝑦(0) = 1, 𝑦(0.1) = 1.005, find





i) 𝑦 0.2 by Euler’s method





ii) 𝑦 0.3 by Modified Euler’s method





iii) 𝑦(0.4) by Milne’s predictor - corrector method.

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