JEE Main DPP 14 December 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 14 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 14 December 2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read | NEET Daily Practice Questions 14 December 2024: DPP for 2025 aspirants

JEE Main DPP 14 December 2024: Physics

Candidates can check out the JEE Main DPP 14 December  2024 daily practice problems for 2025 aspirants from the Physics section:

Question 1: Starting with the same initial conditions, an ideal gas expands from volume V1 to V2 in three different ways. The work done by the gas is W1 if the process is purely isothermal, W2, if the process is purely adiabatic and W3 if the process is purely isobaric. Then, choose the correct option.

(A) W1 < W2 < W3

(B) W2 < W3 < W1

(C) W3 < W1 < W2

(D) W2 < W1 < W3

Answer (D)

Question 2: Two long current carrying conductors are placed parallel to each other at a distance of 8 cm between them. The magnitude of magnetic field produced at mid-point between the two conductors due to current flowing in them is 30 mT. The equal current flowing in the two conductors is:

(A) 30 A in the same direction

(B) 30 A in the opposite direction

(C) 60 A in the opposite direction

(D) 300 A in the opposite direction

Answer (B)

Question 3: The motion of a simple pendulum executing S.H.M. is represented by the following equation.

y = A sin(pt + f), where time is measured in seconds. The length of pendulum is

(A) 97.23 cm

(B) 25.3 cm

(C) 99.4 cm

(D) 406.1 cm

Answer (C)

Question 4: The time period of a satellite revolving around earth in a given orbit is 7 hours. If the radius of orbit is increased to three times its previous value, then approximate new time period of the satellite will be

(A) 40 hours

(B) 36 hours

(C) 30 hours

(D) 25 hours

Answer (B)

Question 5: The TV transmission tower at a particular station has a height of 125 m. For doubling the coverage of its range, the height of the tower should be increased by

(A) 125 m

(B) 250 m

(C) 375 m

(D) 500 m

Answer (C)

JEE Main DPP 14 December 2024: Chemistry

Candidates can check out the JEE Main DPP 14 December  2024 daily practice problems for 2025 aspirants from the Chemistry section:

Question 1: Given below are two statements.

Statement-I: In CuSO4.5H2O, Cu-O bonds are present.

Statement-II: In CuSO4.5H2O, ligands coordinating with Cu(II) ions are O-and S-based ligands.

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

(A) Both Statement-I and Statement-II are correct

(B) Both Statement-I and Statement-II are incorrect

(C) Statement-I is correct but Statement-II is incorrect

(D) Statement-I is incorrect but Statement-II is correct

Answer (C)

Question 2:  Aqueous solution of which of the following boron compounds will be strongly basic in nature?

(A) NaBH4

(B) LiBH4

(C) B2H6

(D) Na2B4O7

Answer (D)

Question 3: Amongst baking soda, caustic soda and washing soda, carbonate anion is present in

(A) Washing soda only

(B) Washing soda and caustic soda only

(C) Washing soda and baking soda only

(D) Baking soda, caustic soda and washing soda

Answer (A)

Question 4: Number of lone pair(s) of electrons on central atom and the shape of BrF3 molecule respectively, are

(A) 0, triangular planar

(B) 1, pyramidal

(C) 2, bent T-shape

(D) 1, bent T-shape

Answer (C)

Question 5: In Friedel-Crafts alkylation of aniline, one gets

(A) Alkylated product with ortho and para substitution.

(B) Secondary amine after acidic treatment.

(C) An amide product.

(D) Positively charged nitrogen at the benzene ring.

Answer (D)

JEE Main DPP 14 December 2024: Mathematics

Candidates can check out the JEE Main DPP 14 December 2024 daily practice problems for 2025 aspirants from Maths section:

Problem 1: If a + b + g = 2p, then the system of equations

x + (cosg)y + (cosb)z = 0

(cosg)x + y + (cosa)z = 0

(cosb)x + (cosa)y + z = 0 has :

(1)  a unique solution

(2)  no solution

(3)  infinitely many solutions

(4)  exactly two solutions

Solution (3)

Problem 2: The distance of the point (–1, 2, –2) from the line of intersection of the planes 2x + 3y + 2z = 0 and x – 2y + z = 0 is

(1)   5/2

(2) (34)^½/2

(3) 42/2

(4) 1/(2)^½

Solution (2)

Problem 3: Let A be the set of all points (a, b) such that the area of the triangle formed by the points (5, 6), (3, 2) and (a, b) is 12 square units. Then the least possible length of a line segment joining the origin to a point in A, is

(1) 8/(5)^½

(2) 16/(5)^½

(3) 4/(5)^½

(4) 12/(5)^½

Solution (1)

Problem 4: Let S = {1, 2, 3, 4, 5, 6}. Then the probability that a randomly chosen onto function g from S to S satisfies g(3) = 2g(1) is

(1)  1/30

(2) 1/10

(3) 1/15

(4) 1/5

Solution (2)

Problem 5: The mean and variance of 7 observations are 8 and 16 respectively. If two observations are 6 and 8, then the variance of the remaining 5 observations is

1)  536/25

(2) 134/5

(3) 112/5

(4) 92/5

Solution (1)

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