List of top Questions asked in CUET (UG)

Find the shortest distance between the lines \[ \vec r= \hat i+2\hat j+\hat k+\lambda(\hat i-\hat j+\hat k) \] and \[ \vec r= 2\hat i-\hat j-\hat k+\mu(2\hat i+\hat j+2\hat k) \]

Maximize \[ Z=3x+4y \] subject to \[ x+y\le10,\qquad x,y\ge0 \]

Find the domain of \[ f(x)=\sin^{-1}(2x-1) \]

Probability that the second ball is red, given the first was blue (3 red and 5 blue balls, without replacement).

The number of stereoisomers possible for the compound \( \text{CH}_3\text{CHBrCHBrCH}_3 \) is:

The reagent used in Sandmeyer reaction for converting benzene diazonium chloride into chlorobenzene is:

Which of the following reagents converts aldehydes into primary alcohols?

Which of the following complexes is expected to be diamagnetic?

Which of the following complexes shows the highest crystal field stabilization energy (CFSE) in octahedral geometry?

The most exotic diamagnetic materials are superconductors. They exhibit perfect diamagnetism and perfect conductivity. The values of magnetic susceptibility \((\chi)\) and relative permeability \((\mu_r)\) for such materials are:

For a first-order reaction, the unit of rate constant is:

A compound shows optical isomerism and has molecular formula \( \text{C}_4\text{H}_{10}\text{O} \). Which of the following compounds can exhibit chirality?

The magnetic moment of a transition metal ion is found to be \( 5.92 \, \text{BM} \). The number of unpaired electrons present in the ion is:

In a reaction sequence involving haloalkanes, the compound \( \text{CH}_3\text{CH}_2\text{Br} \) is treated with alcoholic KOH followed by ozonolysis. If the final product obtained is methanal, then identify the alkene formed in the intermediate step.

The order of basic strength among the following amines is: Aniline, Methylamine, Dimethylamine, and Ammonia.

For the given mixed combination of resistors, calculate the total resistance between points \(A\) and \(B\).

A wire of uniform cross-sectional area and resistivity has total resistance \(36\,\Omega\) and is bent into a circle as shown in the figure. The equivalent resistance between points \(A\) and \(B\) is:

The equivalent resistance of the following combination of resistances between \(A\) and \(C\) is:

A straight wire of mass \(200\,\text{g}\) and length \(1.5\,\text{m}\) carries a current of \(2\,\text{A}\). It is suspended in mid-air by a uniform horizontal magnetic field \(B\). The magnitude of \(B\) is \((g=10\,\text{m s}^{-2})\):

A straight wire of mass \(500\,\text{g}\) and length \(7\,\text{m}\) carries a current of \(1.4\,\text{A}\). It is suspended in mid-air by a uniform horizontal magnetic field \(B\) perpendicular to the length of the wire. The magnitude of the magnetic field is:

If a straight wire of length \(175\,\text{cm}\) and mass \(250\,\text{g}\) is suspended freely in a uniform horizontal magnetic field of \(0.7\,\text{T}\), then the current flowing through the wire is:

A wire carrying current \(i\), bent as shown in the figure, is placed in a uniform magnetic field \(B\) directed normally out of the plane of the figure. The force on the wire is:

Which of the following is a feature of a secular state?

Five resistors, each of resistance \(R\), are connected between points \(A\) and \(B\) as shown in the figure. The equivalent resistance between \(A\) and \(B\) is:

In the figure shown, three resistors of \(4\,\Omega\) are connected. If point \(D\) divides the resistor between \(B\) and \(C\) into two equal parts, then the equivalent resistance between points \(A\) and \(D\) is: