1. The air standard efficiency of an Otto cycle is given by (where r = Compression ratio, and γ = Ratio of specific heats)



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MCQ-> Study the following information carefully and answer the questions given below : Eight friends - R, S, T, U, V, W. X and Y - are sitting around a circular table facing the centre, but not necessarily in the same order. Each of the them studies in the different Standards viz, Standard I to Standard VIII, but not necessarily in the same order. T is second to the right of the person who studies in Standard VII. Only one person sits between T and the person who studies in Standard V. X is sitting third to the left of the person who studies in Standard VIII. The person studying in Standard VIII is not an immediate neighbour of the person studying in Standard VII. T does not study in Standard VIII. The person studying in Standard VI is to the left of U. U does not study in Standard V or Standard VIII. The persons studying in Standard VI and VII are immediate neighbours of each other. One of the immediate neighbours of the person studying in Standard VIII, studies in Standard II. S and Y are immediate neighbours of each other. There is one person between S and R. V does not study in Standard I. R studies in Standard V. Y does not study in Standard II. W is sitting between the persons who study in Standard VII and Standard IV. X is second to the right of the person studying in Standard I.Who among the following is sitting third to the right of T.
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MCQ-> I suggest that the essential character of the Trade Cycle and, especially, the regularity of time-sequence and of duration which justifies us in calling it a cycle, is mainly due to the way in which the marginal efficiency of capital fluctuates. The Trade Cycle is best regarded, I think, as being occasioned by a cyclical change in the marginal efficiency of capital, though complicated and often aggravated by associated changes in the other significant short period variables of the economic system.By a cyclical movement we mean that as the system progresses in, e.g. the upward direction, the forces propelling it upwards at first gather force and have a cumulative effect on one another but gradually lose their strength until at a certain point they tend to be replaced by forces operating in the opposite direction; which in turn gather force for a time and accentuate one another, until they too, having reached their maximum development, wane and give place to their opposite. We do not, however, merely mean by a cyclical movement that upward and downward tendencies, once started, do not persist for ever in the same direction but are ultimately reversed. We mean also that there is some recognizable degree of regularity in the time-sequence and duration of the upward and downward movements. There is, however, another characteristic of what we call the Trade Cycle which our explanation must cover if it is to be adequate; namely, the phenomenon of the ‘crisis’ the fact that the substitution of a downward for an upward tendency often takes place suddenly and violently, whereas there is, as a rule, no such sharp turning-point when an upward is substituted for a downward tendency. Any fluctuation in investment not offset by a corresponding change in the propensity to consume will, of course, result in a fluctuation in employment. Since, therefore, the volume of investment is subject to highly complex influences, it is highly improbable that all fluctuations either in investment itself or in the marginal efficiency of capital will be of a cyclical character.We have seen above that the marginal efficiency of capital depends, not only on the existing abundance or scarcity of capital-goods and the current cost of production of capital- goods, but also on current expectations as to the future yield of capital-goods. In the case of durable assets it is, therefore, natural and reasonable that expectations of the future should play a dominant part in determining the scale on which new investment is deemed advisable. But, as we have seen, the basis for such expectations is very precarious. Being based on shifting and unreliable evidence, they are subject to sudden and violent changes. Now, we have been accustomed in explaining the ‘crisis’ to lay stress on the rising tendency of the rate of interest under the influence of the increased demand for money both for trade and speculative purposes. At times this factor may certainly play an aggravating and, occasionally perhaps, an initiating part. But I suggest that a more typical, and often the predominant, explanation of the crisis is, not primarily a rise in the rate of interest, but a sudden collapse in the marginal efficiency of capital. The later stages of the boom are characterized by optimistic expectations as to the future yield of capital goods sufficiently strong to offset their growing abundance and their rising costs of production and, probably, a rise in the rate of interest also. It is of the nature of organized investment markets, under the influence of purchasers largely ignorant of what they are buying and of speculators who are more concerned with forecasting the next shift of market sentiment than with a reasonable estimate of the future yield of capital-assets, that, when disillusion falls upon an over-optimistic and over- bought market, it should fall with sudden and even catastrophic force. Moreover, the dismay and uncertainty as to the future which accompanies a collapse in the marginal efficiency of capital naturally precipitates a sharp increase in liquidity-preference and hence a rise in the rate of interest. Thus the fact that a collapse in the marginal efficiency of capital tends to be associated with a rise in the rate of interest may seriously aggravate the decline in investment. But the essence of the situation is to be found, nevertheless, in the collapse in the marginal efficiency of capital, particularly in the case of those types of capital which have been contributing most to the previous phase of heavy new investment. Liquidity preference, except those manifestations of it which are associated with increasing trade and speculation, does not increase until after the collapse in the marginal efficiency of capital. It is this, indeed, which renders the slump so intractable. Which of the following does not describe the features of cyclical movement?
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MCQ->The air standard efficiency of an Otto cycle is given by (where r = Compression ratio, and γ = Ratio of specific heats)....
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MCQ->In an air-standard Otto-cycle,the compression ratio is The condition at the beginning of the compression process is 100 kPa and 300K.Heat added at constant volume is 1500 kJ/kg,while 700 kJ/kg of heat is rejected during the other constant volume process in the cycle.Specific gas constant for air=287 kJ/kgK.The mean effective pressure(in kPa)of the cycle is:....
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