List of top Questions asked in CBSE CLASS XII, CBSE Compartment Exam Class XII

A charge $ Q $ is fixed in position. Another charge $ q $ is brought near charge $ Q $ and released from rest. Which of the following graphs is the correct representation of the acceleration of the charge $ q $ as a function of its distance $ r $ from charge $ Q $?

Draw a rough sketch for the curve $y = 2 + |x + 1|$. Using integration, find the area of the region bounded by the curve $y = 2 + |x + 1|$, $x = -4$, $x = 3$, and $y = 0$.

In an n-type semiconductor, electron-hole combination is a continuous process at room temperature. Yet the electron concentration is always greater than the hole concentration in it. Explain.

For the curve $ \sqrt{x} + \sqrt{y} = 1 $, find the value of $ \frac{dy}{dx} $ at the point $ \left(\frac{1}{9}, \frac{1}{9}\right) $.

The distance of an object from the first focal point of a biconvex lens is $ X_1 $ and distance of the image from second focal point is $ X_2 $. The focal length of the lens is:

A rectangular glass slab ABCD (refractive index 1.5) is surrounded by a transparent liquid (refractive index 1.25) as shown in the figure. A ray of light is incident on face AB at an angle $i$ such that it is refracted out grazing the face AD. Find the value of angle $i$.

Compare and contrast the characters of Mr Lamb and Derry in the play ‘On The Face Of It’.

The graph shows the variation of current with voltage for a p-n junction diode. Estimate the dynamic resistance of the diode at $ V = -0.6 $ V.

Explain the meaning of ‘target area planning’. Analyse the need of ‘target area planning’ for development.

If P is a point on the line segment joining $(3, 6, -1)$ and $(6, 2, -2)$ and the $y$-coordinate of P is 4, then its $z$-coordinate is :

A ray of light is incident at an angle $ i $ on a parallel sided glass slab of thickness $ d $ and gets refracted into the slab at angle $ r $. Draw a ray diagram to show its path as it emerges out of the slab. Hence, obtain an expression for the lateral shift of the ray. Under what condition will the shift be minimum?

Calculate the potential for half-cell containing 0.01 M K$_2$Cr$_2$O$_7$(aq), 0.01 M Cr$^{3+}$(aq), and 1.0 x 10$^{-4}$ M H$^+$(aq).

Study the given below single strand of deoxyribonucleic acid depicted in the form of a “stick” diagram with 5′ – 3′ end directionality, sugars as vertical lines and bases as single letter abbreviations and answer the questions that follow.

Name the covalent bonds depicted as (a) and (b) in the form of slanting lines in the diagram.
How many purines are present in the given “stick” diagram?
Draw the chemical structure of the given polynucleotide chain of DNA.

Based on the data given above, give plausible reason for the variation of conductivity and molar conductivity with concentration.

Concentration of KCl solution (mol/L)	Conductivity at 298.15 K (S cm^-1)	Molar Conductivity at 298.15 K (S cm² mol^-1)
1.000	0.1113	111.3
0.100	0.0129	129.0
0.010	0.00141	141.0

State Henry's law. Why are aquatic species more comfortable in cold water as compared to warm water?

State Raoult’s law for a solution containing volatile components. Why is the vapour pressure of an aqueous solution of glucose lower than that of water?

Sara and Tara were partners in a firm. Their capitals as on 1st April, 2023 were ₹ 6,00,000 and ₹ 4,00,000 respectively. On 1st October, 2023, Tara withdrew ₹ 1,00,000 for personal use. According to the partnership deed, interest on capital was allowed @ 8% p.a.
The amount of interest allowed on Tara’s capital for the year ended 31st March, 2024 was :

Suppose, the saving curve of an economy makes an intercept at a negative value of ₹ 50 crores. In the economy, 20\% of an increase in income is saved.
In the light of the above context, identify the value of investment multiplier (K). (Choose the correct option)

Draw the energy-band diagram for conductors, semiconductors, and insulators at T = 0 K. How is an electron-hole pair formed in a semiconductor at room temperature?

“Where there is a will, there is a way.” The above saying aptly describes the character of Douglas from ‘Deep Water’ and Mukesh from ‘Lost Spring’. Compare and contrast their characters in terms of their courage, determination, and the pursuit of their goals.

If $ A $ denotes the set of continuous functions and $ B $ denotes the set of differentiable functions, then which of the following depicts the correct relation between set $ A $ and $ B $?

In the given reaction sequence, the structure of Y would be:

Prove that, in the Bohr model of the hydrogen atom, the time period of revolution of an electron in the $ n $-th orbit is proportional to $ n^3 $.

Sudha and Sudhir were partners in a firm sharing profits and losses in the ratio of 4 : 1. On 1st April, 2023, their fixed capitals were ₹12,00,000 and ₹4,00,000 respectively. On 1st July, 2023, Sudha invested ₹2,00,000 as additional capital. On 1st August, 2023, Sudhir withdrew ₹50,000 from his capital.
The partnership deed provided for the following:
(i) Interest on capital @ 6% p.a.
(ii) Interest on drawings @ 8% p.a.
During the year, Sudha withdrew ₹60,000 and Sudhir withdrew ₹40,000 for personal use. After providing interest on capital and charging interest on drawings, the net profit of the firm for the year ended 31st March, 2024 was ₹3,50,000.
Prepare Current Accounts of Sudha and Sudhir.

You are Shanti/Satwik from, 375/P-I, Rasalpur, Bahutnagar. You came across the following advertisement for the post of a dance teacher in a reputed public school. Write an application for the position advertised along with your bio-data.