JEE Main DPP 19 December 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 19 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 19 December  2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read | NEET Daily Practice Questions 19 December 2024: DPP for 2025 aspirants

JEE Main DPP 19 December 2024: Physics

Candidates can check out the JEE Main DPP 19 December  2024 daily practice problems for 2025 aspirants from the Physics section: 

Question 1: The bulk modulus of a liquid is 3 × 1010 Nm–2. The pressure required to reduce the volume of liquid by 2% is

(A)  3 × 10^8 Nm–2

(B) 9 × 10^8 Nm–2

(C)  6 × 10^8 Nm–2

(D)  12 × 10^8 Nm–2

Answer (C)

Question 2: Two identical cells each of emf 1.5 V are connected in parallel across a parallel combination of two resistors each of resistance 20 ohms . A voltmeter connected in the circuit measures 1.2 V. The internal resistance of each cell is

(A)  2.5 ohms                 

(B) 4  ohms

(C) 5  ohms                    

(D) 10 ohms

Answer (C)

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

Assertion (A): In an uniform magnetic field, speed and energy remains the same for a moving charged particle.

Reason (R): Moving charged particles experiences magnetic force perpendicular to its direction of motion.

(A)  Both (A) and (R) true and (R) is the correct explanation of (A).

(B)  Both (A) and (R) are true but (R) is NOT the correct explanation of (A).

(C)  (A) is true but (R) is false.

(D)  (A) is false but (R) is true.

Answer (A)

Question 4: Identify the pair of physical quantities which have different dimensions.

(A)  Wave number and Rydberg’s constant

(B)  Stress and Coefficient of elasticity

(C)  Coercivity and Magnetisation

(D)  Specific heat capacity and Latent heat

Answer (D)

Question 5: A block of mass 10 kg starts sliding on a surface with an initial velocity of 9.8 ms–1. The coefficient of friction between the surface and block is 0.5. The distance covered by the block before coming to rest is

[use g = 9.8 ms–2]

(A)  4.9 m                 

(B) 9.8 m

(C) 12.5 m                

(D) 19.6 m

Answer (B)

JEE Main DPP 19 December 2024: Chemistry

Candidates can check out the JEE Main DPP 19 December  2024 daily practice problems for 2025 aspirants from the Chemistry section: 

Question 1: If a rocket runs on a fuel (C15H30) and liquid oxygen, the weight of oxygen required and CO2 released for every litre of fuel respectively are :

(Given : density of the fuel is 0.756 g/mL)

(A) 1188 g and 1296 g

(B) 2376 g and 2592 g

(C) 2592 g and 2376 g

(D) 3429 g and 3142 g

Answer (C)

Question 2: Consider the following pairs of electrons

(A)  (a) n = 3, l = 1, m1 = 1, ms = + 1/2

(b) n = 3, l = 2, m1 = 1, ms = + 1/2

(B)  (a) n = 3, l = 1, m1 = -2, ms = - 1/2  

(b) n = 3, l = 2, m1 = -1, ms = -1/2

(C)  (a) n = 3, l = 1, m1 = 2, ms = + 1/2  

(b) n = 3, l = 2, m1 = 2, ms = + ½

The pairs of electrons present in degenerate orbitals is /are:

(A)   Only (A)               

(B) Only (B)

(C) Only (C)               

(D) (B) and (C)

Answer (B)

Question 3: Given below are two statements:

Statement I : Emulsion of oil in water is unstable and sometimes they separate into two layers of standing.

Statement II : For stabilisation of an emulsion, excess of electrolyte is added.

In the light of the above statements, choose the most appropriate 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 4: Given below are the oxides:

Na2O, As2O3, N2O, NO and Cl2O7

Number of amphoteric oxides is:

(A)  0               

(B) 1

(C) 2              

(D) 3

Answer (B)

Question 5: Match List-I with List -II :

Choose the most appropriate answer from the options given below:

(A) (A)-(IV), (B)-(III), (C)-(II), (D)-(I)

(B) (A)-(IV), (B)-(I), (C)-(II), (D)-(III)

(C) (A)-(II), (B)-(III), (C)-(I), (D)-(IV)

(D) (A)-(III), (B)-(IV), (C)-(II), (D)-(I)

Answer (A)

JEE Main DPP 19 December 2024: Mathematics

Candidates can check out the JEE Main DPP 19 December 2024 daily practice problems for 2025 aspirants from Maths section: 

Problem 1: Given A, B, C represents angles of a DAB and cosA + 2 cosB + cosC = 2 and AB = 3 and BC = 7 then cosA – cosC is

(1) -10/7                    

(2) 10/7   

(3) 5/7                       

(4) -5/7  

Solution (1)

Problem 2: If the mean and variance of six observations 7, 10, 11, 15, a, b are 10 and 20/3, respectively, then the value of |a – b| is equal to

(1)  7

(2) 11

(3) 1

(4)  9

Solution (2)

Problem 3: A bag contains 5 red balls and 3 blue balls. One ball is drawn at random. The probability that it is a red ball is

(1) 3/8                   

(2) 3/5

(3) 5/3                 

(4) 5/8

Solution (4)

Problem 4: If the foot of the perpendicular from the point A(–1, 4, 3) on the plane P : 2x + my + nz = 4, is (-2, 7/2, 5/2) then the distance of the point A from the plane P, measured parallel to a line with direction ratios 3 –1, –4, is equal to

(1) 1

(2) (26)^½

(3) 2(2)^½

(4) (14)^½

Solution (2)

Problem 5: Two cards are drawn from a well shuffled deck of 52  playing cards. What is the probability that both the cards drawn are red?

(1) 25/1024

(2) 12/51

(3) 1/2

(4) 5/1024

Solution (2)

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