MCQ_SINGLE

Two planets $P_{1}$ and $P_{2}$ with equal mass have radii $R_{1}$ and $R_{2}$, respectively, where $R_{2}=\frac{R_{1}}{2}$. The escape speeds of $P_{1}$ and $P_{2}$ are $v_{1}$ and $v_{2},$ respectively. Then $\frac{v_{2}}{v_{1}}$ is:

MCQ_SINGLE

Given below are two statements: Statement-I: Oxidation of p-nitrotoluene with acidic $KMnO_{4}$ gives an acid that is stronger than benzoic acid. Statement-II: Reduction of p-nitrotoluene with $Sn/HCl$ followed by neutralization gives an amine that is more basic than aniline. In light of the above statements, choose the most appropriate answer from the options given below.

MCQ_SINGLE

The following carbocation is stabilized by the interaction of the empty p orbital with

MCQ_SINGLE

Given below are two statements: Statement-I: $[Fe(ox)_{3}]^{3-}$ is chiral. Statement-II: trans-$[Cr(H_{2}O)_{2}(ox)_{2}]^{-}$ is chiral. (Given: $oxH_{2}=HOOC-COOH$) In light of the above statements, choose the most appropriate answer from the options given below:

MCQ_SINGLE

Match List-I with List-II. List-I: A. Both species are harmed B. One species is harmed and the other is benefited C. Both species are benefited D. One is benefited while the other has no effect List-II: I. Predation II. Mutualism III. Competition IV. Commensalism Choose the correct answer from the options given below:

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