List of top Questions asked in CUET (UG)

An organic amine compound 'X' reacts smoothly with Hinsberg's reagent (Benzenesulfonyl chloride) to form a solid precipitate. This precipitate remains completely insoluble when treated with an aqueous sodium hydroxide (\( \text{NaOH} \)) solution. Classify the amine 'X'.

Determine the spin-only magnetic moment value for a central divalent manganese gaseous ion (\( \text{Mn}^{2+} \)) based on its d-orbital electron distribution. (Atomic Number of \( \text{Mn} = 25 \))

Which of the following carbonyl compounds will undergo a self-oxidation and self-reduction reaction (Cannizzaro Reaction) when treated with a concentrated solution of a strong base (\( \text{NaOH} \))?

A first-order reaction has a specific rate constant (\( k \)) equal to \( 2.303 \times 10^{-3} \text{ s}^{-1} \). Calculate the exact time required for the initial concentration of the reactant to be reduced to exactly \( \frac{1}{10} \)th of its original value.

Find the maximum value of the linear objective function \( Z = 3x + 4y \) subject to the system constraints: \( x + y \le 4 \), \( x \ge 0 \), and \( y \ge 0 \).

If the straight line equation \( \frac{x-1}{2} = \frac{y-2}{3} = \frac{z-3}{4} \) runs completely parallel to the plane surface given by \( A x + 2y + 3z = 5 \), find the value of the coefficient \( A \).

Under what condition will a linear programming system containing objective function variables have no common feasible region?

A straight vector line makes equal acute angles \( \alpha = \beta = \gamma \) with all three primary coordinate axes. Find the absolute value of \( \cos\alpha \).

Determine the sum of the order and the degree of the differential equation given by: \[ y = x\frac{dy}{dx} + \sqrt{1 + \left(\frac{dy}{dx}\right)^2} \]

Find the total area of the region bounded by the parabola \( y^2 = 4x \) and the straight line \( y = x \).

During recombinant DNA technology, why are bacterial cells kept on ice after calcium chloride treatment?

Which graph correctly represents the species-area relationship on a logarithmic scale?

In the menstrual cycle, the LH surge is primarily responsible for:

The corpus luteum mainly secretes which of the following hormones?

What is the cessation of menstrual cycle in females around the age of 45--50 years called?

Read the following passage carefully and answer the question that follows: During the menstrual cycle, the endometrium undergoes cyclic changes under the influence of hormones. Ovulation generally occurs around the 14th day of a 28-day menstrual cycle. After ovulation, the ruptured Graafian follicle transforms into a temporary endocrine gland known as corpus luteum. If fertilisation does not occur, the corpus luteum degenerates leading to menstruation. Which hormone is mainly responsible for maintaining the endometrium after ovulation?

During the process of making bacteria competent for recombinant DNA technology, which treatment is commonly used?

In the graph of species-area relationship, what does the slope of the line represent when plotted on a log-log scale?

The species-area relationship was explained by Alexander von Humboldt. Which of the following equations correctly represents this relationship?

Ribozyme is:

A convex lens is made from glass material having refractive index of \(1.4\) with same radius of curvature on both sides. The ratio of its focal length and radius of curvature is ________.

A magnetic field vector in an electromagnetic wave is represented by \[ \vec{B} = B_0 \sin\left(2\pi \nu t - \frac{2\pi x}{\lambda}\right)\hat{j} \] Its associated electric field vector is ________.

A solenoid has a core made of material with relative permeability \(400\). The magnetic field produced in the interior of solenoid is \(1.0\,\text{T}\). The magnetic intensity in SI units is \(\alpha \times 10^5\). The value of \(\alpha\) is ________. \[ \text{Given: } \mu_0 = 4\pi \times 10^{-7}\,\text{SI units} \]