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What does 'C' represent in the species-area relationship equation $\text{log S} = \text{log C} + \text{Z log A}$?

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Explanation

As per the NCERT text definition: 'C = Y-intercept'.

The species-area relationship is described as a straight line when plotted on a logarithmic scale. What kind of relationship does this represent if plotted on an arithmetic scale?

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Explanation

The context states: 'On a logarithmic scale, the relationship is a straight line...' However, it also clarifies for the arithmetic scale that it 'turns out to be a rectangular hyperbola (Figure 13.2).'

Which of the following taxonomic groups were explicitly mentioned in the context to show the species-area relationship as a rectangular hyperbola?

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Explanation

The NCERT text specifies: 'In fact, the relation between species richness and area for a wide variety of taxa (angiosperm plants, birds, bats, freshwater fishes) turns out to be a rectangular hyperbola (Figure 13.2).'

What is the significance of the slope of regression ('Z' value) in a species-area relationship when it is steep (e.g., 1.15 for frugivorous birds and mammals)?

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Explanation

A 'steeper slope' (higher Z value) means that for a given increase in area, there is a proportionally larger increase in species richness. The question asks for the significance of steeper slopes mentioned in the context for specific examples.

The concept of species-area relationship helps ecologists in:

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Explanation

While not explicitly stated as 'conservation planning', the underlying implication of understanding how species richness changes with area is vital for ecological studies and conservation efforts, especially in the context of biodiversity conservation. The question (4) given in the first excerpt 'What is the significance of the slope of regression in a species – area relationship?' points to its importance.

If you are comparing the species-area relationship for plants in Britain, birds in California, and molluscs in New York state, what would be an expected observation regarding their 'Z' values?

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Explanation

The NCERT text states: 'Ecologists have discovered that the value of Z lies in the range of 0.1 to 0.2, regardless of the taxonomic group or the region (whether it is the plants in Britain, birds in California or molluscs in New York state, the slopes of the regression line are amazingly similar).'

What is the primary purpose of PCR as described in the context of biotechnology processes?

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Explanation

The context clearly states under '9.3.3 Amplification of Gene of Interest using PCR': 'In this reaction, multiple copies of the gene (or DNA) of interest is synthesised in vitro...' This is the primary purpose.

Which of the following components is essential for the in vitro synthesis of multiple copies of DNA during PCR, based on the fundamental principle of the reaction?

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Explanation

The definition of PCR, although not explicitly listing all components, implies the need for DNA polymerase for 'synthesis'. Restriction enzymes cut DNA, ligase joins DNA, and agarose gel is for separation, not synthesis. DNA polymerase is crucial for extending primers and synthesizing new DNA strands during the 'Extension of primers' step.

When an AC voltage is applied to a purely inductive circuit, the current reaches its maximum value _________ the voltage by _________ of a period.

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Explanation

According to the provided text, 'We see that the current reaches its maximum value later than the voltage by one-fourth of a period $T/4 = \pi/(2\omega)$'.

What is the average power supplied to a pure inductor over one complete cycle of an AC voltage?

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Explanation

The text states, 'So, the average power over a complete cycle is $(P_L) = \text{average of } [- (v_m i_m/2) \sin(2\omega t)]$ = 0, since the average of $\sin (2\omega t)$ over a complete cycle is zero. Thus, the average power supplied to an inductor over one complete cycle is zero'.

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