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Question:

Derive the expression for overall heat transfer co-efficient.

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Question:

Derive the expression for thermal resistance for the composite plane wall shown in Figures given below. Assume area of cross-section to be ‘A’ for the Fig. a.

Image ignouassignments-ignouacademy-com--p-your-67418

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Question:

State Fourier’s law and explain the various terms in the expression for Fourier’s law. Also give its features.

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Question:

Enlist the aims of studying heat transfer and describe its various applications.

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Question:

Let $(Omega ,F,P)$ be a probability space and $X_1, X_2, X_3, ...$ be a sequence of independent and identically distributed (i.i.d.) random variables from the uniform distribution on the interval $[12, 20]$ . If $overline{X_n}$ denotes the sample mean of the first n random variables of the sequence $X_1, X_2,X_3, ....$ , and $overline{X_n} overset{p}{ightarrow} a$ Find the value of $a$ .

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Question:

Prove that every non-trivial subgroup of a cyclic group has finite index. Hence prove that $(\mathbb{Q}+)$ is not cyclic.

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Question:

Which of the following statements are true? Give reasons for your answers.
i) If a group G is isomorphic to one of its proper subgroups, then G = $\mathbb{Z}$
ii) Ifx and y are elements of a non-abelian group $(G,*)$ such that $x*y=y*x,$ then $x=e\,or\,y=e,$ where is the identity of G with respect to $*$
iii) There exists a unique non-abelian group of prime order.
iv) If $(a,b)\in A\times A,$ where A is a group, then $o((a,b))=o(a)o(b).$
v) If H and K are normal subgroups of a group G, then $hk\,=kh\forall h\in H,k\in K.$