In a given habitat we have 20 plant species and 20 animal species. Should we call this as 'diversity' or biodiversity'? Justify your answer.

Consider a closed loop C in a magnetic field (Fig. EP 6.18). The flux passing through the loop is defined by choosing a surface whose edge coinides with the loop and using the formula phi=B_1dA_1 + B_2.dA_2 +………….. . Now if we choose two differnet surfaces S_1 and S_2 having as thier edge, would we get the same answer for flux. Justify your answer.

How many species of plants and animals have been named so far?

We are told that evolution is a continuing phenomenon for all living things. Are humans also evolving? Justify your answer.

Do different species of plants growing in the same area show the same rate of transpiration at a particular time? Justify your answer.

A man is driving a car on the dangerous path given by: f(x) = {:{((1-x^m)/(1-x),xne1),(m-1,x=1):}, m in N . Find the dangerous point (point of discontinuity) on the path. Whether the driver should pass that point on not? Justify your answer?

A capacitor of 10 microfarad is connected in series with a resistance of 2.2 xx 10^5 ohm. Determine the time constant for the circuit. Can we think of oscillations in this circuit, such that the frequency is equal to the inverse of the time constant? Justify your answer with proper explanation.

Consider the binary operations * : RxxRrarrR and o : RxxRrarrR defined as a*b = |a – b| and aob = a, forall a, b in R Show that ∗ is commutative but not associative, o is associative but not commutative. Further, show that ∀ a, b, c in R , a * (b o c) = (a * b) o (a * c) . [If it is so, we say that the operation ∗ distributes over the operation o]. Does o distribute over ∗? Justify your answer.

The species diversity of plants 22% is much less than that of animals. What could be the explanationto how animals achieved greater diversification?