List of top Questions asked in CUET (UG)

Match the following integrals in Column I with their corresponding results in Column II:

Column I	Column II
A. \[ \displaystyle \int \frac{dx}{x^2-a^2} \]	I. \[ \displaystyle \frac{1}{2a}\log\left\|\frac{a+x}{a-x}\right\|+C \]
B. \[ \displaystyle \int \frac{dx}{a^2-x^2} \]	II. \[ \displaystyle \log\left\|x+\sqrt{x^2-a^2}\right\|+C \]
C. \[ \displaystyle \int \frac{dx}{\sqrt{x^2-a^2}} \]	III. \[ \displaystyle \frac{1}{2a}\log\left\|\frac{x-a}{x+a}\right\|+C \]
D. \[ \displaystyle \int \frac{dx}{\sqrt{a^2-x^2}} \]	IV. \[ \displaystyle \sin^{-1}\frac{x}{a}+C \]

The magnetic nature of elements depends on the presence of unpaired electrons. Identify the configuration of transition element, which shows highest magnetic moment.

Which of the following oxidation state is common for all lanthanoids?

On addition of small amount of \(KMnO_4\) to concentrated \(H_2SO_4\), a green oily compound is obtained which is highly explosive in nature. Identify the compound from the following.

The electronic configuration of \(\mathrm{Cu(II)}\) is \[ 3d^9 \] whereas that of \(\mathrm{Cu(I)}\) is \[ 3d^{10} \] Which of the following is correct?

Chromosomes are made from

To prepare \(3\)-ethylpentan-\(3\)-ol, the reagents needed are

Match the columns:

Column - I		Column - II
(A)	\[ \mathrm{CH_2=CH-CH_2Cl} \]	(p)	gem-Dichloride
(B)	\[ \mathrm{CH_2=CHX} \]	(q)	Vinylic halide
(C)	\[ \mathrm{CH_3CHCl_2} \]	(r)	vic-Dichloride
(D)	\[ \mathrm{CH_2ClCH_2Cl} \]	(s)	Allylic halide