MCQs On Permutations & Combinations#!#CBSE 2023 Term II ki Tayari Doubtnut Ke Sath

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Consider the differential equation. Dy/dx +P(x)y = Q(x) (i) If two particular solutions of given equation u(x) and v(x) are known, find the general solution of the same equation in terms of u(x) and v(x). (ii) If alpha and beta are constants such that the linear combinations alpha.u(x) + beta.v(x) is a solution of the given equation, find the relation between alpha and beta . (iii) If w(x) is the third particular solution different from u(x) and v(x) then find the ratio v(x) u(x)/w(x)-u(x)

Read the following statements. (i) Morgan carried out several monohybrid crosses in Drosophila to study genes that were sex-linked. (ii) Morgan attributed that proportion of parental gene combination is less than the non-parental type due to the physical association. Term recombination was coined by Morgon to describe the generation of non-parental gene combinations. Alfred Strutevent used the frequency of linkage between gene pairs on the same chromosome and fine genetic map. Select how many are incorrect statement(s).

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Two bulbs are reled (P_(1),V)" and "(P_(2), V) . If they are connected (i) iin series and (ii) in perallel across a supply V, find th power dissipated in the two combinations in terms of P_(1)" and " P_(2) .

Tha particle is executing SHM. The amplitude of motion is a. State those positions of the particle in terms of a when (i) the K.E. of the particle is zero (ii) P.E. is zero (iii) P.E. is one-fourth of the total energy (iv) P.E and K.E. are equal.

The physical quantities, their formulae and dimensions expressed in terms of fundamental quantities are given in Column I, Column II and Column III, respectively. Which one of the following options represents correct combination for relation between power radiated and temperature?

Two elements X and Y have atomic number 12 and 17 respectively. (i) Write the electronic configuration of both. (ii) Which type of bond will they form ? (iii) Write the formula of the compound formed by their combination (in terms of X and Y).