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- 20 questions carry one mark each
- 65 questions carry two marks each
- Negative marking: 1/4 of the marks allotted to the question
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Chemical Engineering (CH) 2008
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Which ONE of the following is NOT an integrating factor for the differential equation xdy - ydx = 0?
Which ONE of the following is NOT a solution of the differential equation d2y/dx2 + y = 1?
The limit of sin x/x as x → ∞ is
The unit normal vector to the surface of the sphere x2 + y2 + z2 = 1 at the point (1/√2, 0, 1/√2) is (i, j, k are unit normal vectors in the cartesian coordinate system)
A nonlinear function f(x) is defined in the interval -1.2 < x < 4 as illustrated in the figure below. The equation f(x) = 0 is solved for x within this interval by using the Newton-Raphson iterative scheme. Among the initial guesses (I1, I2, I3, and I4), the guess that is likely to lead to the root most rapidly is

For a Carnot refrigerator operating between 40°C and 25°C, the coefficient of performance is