JEE Main DPP 6 December 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 6 December 2024

JEE Main DPP 6 December 2024: JEE Main Session 1 2025 will take place from January 22 to 31. Applicants preparing for the exam must focus on practising the JEE Main sample papers. Hence, here are some daily practice questions with answers for JEE Main DPP 6 December  2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read | NEET Daily Practice Questions 6 December 2024: DPP for 2025 aspirants

JEE Main DPP 6 December 2024: Physics

Candidates can check out the JEE Main DPP 6 December  2024 daily practice problems for 2025 aspirants from the Physics section:

Question 1: A block ‘A’ takes 2 s to slide down a frictionless incline of 30° and length ‘l’, kept inside a lift going up with uniform velocity ‘v’. If the incline is changed to 45°, the time taken by the block, to slide down the incline, will be approximately

(A) 2.66 s

(B) 0.83 s

(C) 1.68 s

(D) 0.70 s

Answer (C)

Question 2: The velocity of the bullet becomes one third after it penetrates 4 cm in a wooden block. Assuming that bullet is facing a constant resistance during its motion in the block. The bullet stops completely after travelling at (4 + x) cm inside the block. The value of x is

(A)  2.0

(B) 1.0

(C) 0.5

(D) 1.5

Answer (C)

Question 3: Which statements are true about degrees of freedom?

(A) A molecule with n degrees of freedom has n^2 different ways of storing energy.

(B) Each degree of freedom is associated with 1/2RT average energy per mole.

(C) A monatomic gas molecule has 1 rotational degree of freedom whereas a diatomic molecule has 2 rotational degrees of freedom.

(D) CH4 has a total of 6 degrees of freedom.

Choose the correct answer from the option given below:

(A) (B) and (C) only

(B) (B) and (D) only

(C) (A) and (B) only

(D) (C) and (D) only

Answer (B)

Question 4:

(A) The drift velocity of electrons decreases with the increase in the temperature of the conductor.

(B)  The drift velocity is inversely proportional to the area of cross-section of the given conductor.

(C)  The drift velocity does not depend on the applied potential difference to the conductor.

(D)  The drift velocity of electrons is inversely proportional to the length of the conductor.

(E)  The drift velocity increases with the increase in the temperature of the conductor.

Choose the correct answer from the options given below

(A)   (A) and (B) only

(B) (A) and (D) only

(C) (B) and (E) only

(D) (B) and (C) only

Answer (A)

Question 5: Identify the correct statements from the following descriptions of various properties of electromagnetic waves.

(A) In a plane electromagnetic wave electric field and magnetic field must be perpendicular to each other and direction of propagation of wave should be along electric field or magnetic field.

(B) The energy in electromagnetic waves is divided equally between electric and magnetic fields.

(C) Both electric field and magnetic field are parallel to each other and perpendicular to the direction of propagation of waves.

(D) The electric field, magnetic field and direction of propagation of waves must be perpendicular to each other.

(E) The ratio of amplitude of magnetic field to the amplitude of electric field is equal to speed of light.

Choose the most appropriate answer from the options given below

(A)   (D) only

(B)   (B) and (D) only

(C)   (B), (C) and (E) only

(D)  (A), (B) and (E) only

Answer (B)

JEE Main DPP 6 December 2024: Chemistry

Question 1: The correct decreasing order of energy for the orbitals having, following set of quantum numbers:

(A) n = 3, l = 0, m = 0

(B) n = 4, l = 0, m = 0

(C) n = 3, l = 1, m = 0

(D) n = 3, l = 2, m = 1

(A) (D) > (B) > (C) > (A)

(B) (B) > (D) > (C) > (A)

(C) (C) > (B) > (D) > (A)

(D) (B) > (C) > (D) > (A)

Answer (A)

Question 2: Given below are two statements.

Statement I :For KI, molar conductivity increases steeply with dilution.

Statement II : For carbonic acid, molar conductivity increases slowly with dilution. IIn the light of the above statements, choose the correct answer from the options given below :

(A) Both Statement I and Statement II are true

(B) Both Statement I and Statement II are false

(C) Statement I is true but Statement II is false

(D) Statement I is false but Statement II is true

Answer (B)

Question 3: Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R) :

Assertion (A) : Dissolved substances can be removed from a colloidal solution by diffusion through a parchment paper.

Reason (R) : Particles in a true solution cannot pass through parchment paper but the colloidal particles can pass through the parchment paper.

In the light of the above statements, choose the correct answer from the options given below

(A)  Both (A) and (R) are correct and (R) is the correct explanation of (A)

(B)  Both (A) and (R) are correct but (R) is not the correct explanation of (A)

(C) (A) is correct but (R) is not correct

(D) (A) is not correct but (R) is correct

Answer (C)

Question 4: Given below are two statements.

Statement I : The non bio-degradable fly ash and slag from steel used by the cement industry.

Statement II : The fuel obtained from plastic waste is lead free.

In the light of the above statements, choose the correct answer from the options given below.

(A) Both Statement I and Statement II are true

(B) Both Statement I and Statement II are false

(C) Statement I is true but Statement II is false

(D) Statement I is false but Statement II is true

Answer (A)

Question 5: An element A of group 1 shows similarity to an element B belonging to group 2. If A has maximum hydration enthalpy in group 1 then B is:

(A)  Mg

(B) Be

(C) Ca

(D) Sr

Answer (A)

JEE Main DPP 6 December 2024: Mathematics

Candidates can check out the JEE Main DPP 6 December 2024 daily practice problems for 2025 aspirants from Maths section:

Problem 1: Let a, b belong to  R be such that the equation ax^2 – 2bx + 15 = 0 has a repeated root a. If a and b are the roots of the equation x^2 – 2bx + 21 = 0, then a^2 + b^2 is equal to

(A) 37

(B) 58

(C) 68

(D) 92

Solution (B)

Problem 2: The system of equations

–kx + 3y – 14z = 25

–15x + 4y – kz = 3

–4x + y + 3z = 4

is consistent for all k in the set

(A) R

(B) R – {–11, 13}

(C) R – {13}

(D) R – {–11, 11}

Solution (D)

Problem 3: The area of the region enclosed between the parabolas y^2 = 2x – 1 and y^2 = 4x – 3 is

(A) 1/3

(B) 1/6

(C) 2/3

(D) 3/4

Solution (A)

Problem 4: Water is being filled at the rate of 1 cm3/sec in a right circular conical vessel (vertex downwards) of height 35 cm and diameter 14 cm. When the height of the water level is 10 cm, the rate (in cm2/sec) at which the wet conical surface area of the vessel increase, is

(A) 5

(B) [(21)^½]/5

(C) [(26)^½]/5

(D) [(26)^½]/10

Solution (C)

Problem 5: If the line y = 4 + kx, k > 0, is the tangent to the parabola y = x – x^2 at the point P and V is the vertex of the parabola, then the slope of the line through P and V is :

(A) 3/2

(B) 26/9

(C) 5/2

(D) 23/6

Solution (C)