For the following questions answer them individually
300 kJ/s of heat is supplied at constant temperature of 500 k to a heat engine. The heat rejection takes place at 300 K. The following results are obtained (a) 210 kJ (b) 180 kJ
(c) 150 kJ. Identify whether result is a reversible cycle, irreversible cycle or impossible cycle respectively
If cube root of unity are $$1, w, w^2$$ then the roots of equation $$(x - 1)^3 + 8 = 0$$ are
If $$1, w, w^2$$ are cube roots of unity then the value of
Three houses are available in a locality. Three persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is
The rank of the matrix $$A = \begin{bmatrix}-2 & 4 & 2\\3 & -4 & -1\\4 & -3 & 1 \end{bmatrix}$$ is
If $$3e^x \tan ydx + (1 - e^x) \sec^2 ydy = 0$$, then $$y$$ is
Which of the following represents a wave equation?
$$1 + \frac{x^2}{2!} + \frac{x^4}{4!} + \frac{x^6}{6!} + .........$$ stands for
$$\int \sec x dx$$ is
Inverse Laplace transform of $$\frac{S}{S^2} + a^2$$ is