List of top Questions asked in CUET (UG)- 2024

A 50 Hz AC current of crest value 1 A flows through the primary of a transformer. If the mutual inductance between the primary and secondary is 0.5 H, the crest voltage induced in the secondary is______.
Fill in the blank with the correct answer from the options given below.

A first-order reaction has a half-life of 693 sec. What will be its rate constant?

A magnetic dipole aligned parallel to a uniform magnetic field requires a work of W units to rotate it through 60°. The torque exerted by the field on the dipole in this new position is:

For SN₂ reaction, the increasing order of the reactivity of the following alkyl halides is:
(A) CH₃CH₂CH₂CH₂Br (B) CH₃CH₂CH(Br)CH₃   (C) (CH₃)₃CBr   (D) (CH₃)₂CHCH₂Br

An electric bulb rated 200 V - 100 W is connected to a 160 V power supply. The power consumed by it would be:

If \((\vec{a} - \vec{b}) \cdot (\vec{a} + \vec{b}) = 27\) and \(|\vec{a}| = 2|\vec{b}|\), then \(|\vec{b}|\) is:

If \(\tan^{-1}\left(\frac{2}{3 - x + 1}\right) = \cot^{-1}\left(\frac{3}{3x + 1}\right)\), then which one of the following is true?

Anubhav spent 14% of his income on electricity bills, 28% on rent, and 18% on shopping. If 1/4 of the remaining amount is Rs. 5120, how much did he spend on electricity bills?

Let \( f : \mathbb{R} \to \mathbb{R} \) be defined as \( f(x) = 10 - x^2 \), then:

The second-order derivative of which of the following functions is $5^x$?

Two large plane parallel sheets shown in the figure have equal but opposite surface charge densities \(+\sigma\) and \(-\sigma\). A point charge q placed at points \(P_1,P_2,P_3\) experiences forces \(\overrightarrow{F_1},\overrightarrow{F_2},\overrightarrow{F_3}\) respectively. Then,

In a 600 m race, the ratio of the speeds of two participants A and B is 4:5. If A has a head start of 200 m, then the distance by which A wins is:

A molecule X associates in a given solvent as per the following equation:
X ⇌ (X)_n
For a given concentration of X, the van’t Hoff factor was found to be 0.80 and the
fraction of associated molecules was 0.3. The correct value of ‘n’ is:

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

Choose the correct answer from the options given below.

S and T are partners in a firm sharing profits in the ratio of 3:2. They admit U as a new partner. S surrenders \(\frac{1}{4}\) of his share and T surrenders 1/3 of his share in favour of U. Sacrificing ratio of S and T will be:
Choose the correct answer from the options given below:

If a\(95\% \)confidence interval for the population mean was reported to be 160 to 170 and\(σ = 25\), then the size of the sample used in this study is:

The total number of ions produced from the compound \(\text{Cr}(\text{NH}_3)_6]\text{Cl}_3\) in aqueous solution is:

In the circuit shown, the current in the 1Ω resistor is:

If the matrix\(\begin{bmatrix}0 & -1 & 3x\\1 & y & -5\\-6 & 5 & 0 \end{bmatrix} \)is skew-symmetric, then the value of 5x−y is:

Match List-I with List-II:

Match the blanks in List-I with appropriate Phrasal Verbs in List-II

List-I (Sentence)	List-II (Phrasal Verb)
(A) I thought she looked a little older, _______ by all her new responsibilities.	(IV) weighed down
(B) She decided to _______ half a kg. of almonds and put them in a jar for her snack time.	(I) weigh out
(C) We will have to _______ all the alternatives before taking the final call.	(II) weigh up
(D) Several leading architects _______ with suggestions regarding the design of the new museum.	(III) weighed in

Choose the correct answer from the options given below:

The reactivity order of the following alkyl halides towards dehydrohalogenation:
(A) R-F
(B) R-Br
(C) R-Cl
(D) R-I
Choose the correct answer from the options given below:

A galvanometer with resistance 100 Ω gives full-scale deflection with a current of 2 mA. The resistance required to convert the galvanometer into an ammeter of range 0 to 20 A is nearly:

A long solenoid is formed by winding insulated copper wire at the rate of 20 turns per cm. The current required to produce a magnetic field of 20 mT inside the solenoid at its center would be:

The least non-negative remainder when 3⁵¹ is divided by 7 is: