JEE Main DPP 2 December 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 2 December 2024

JEE Main DPP 2 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 2 December 2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read | NEET Daily Practice Questions 2 December 2024: DPP for 2025 aspirants

JEE Main DPP 2 December 2024: Physics

Candidates can check out the JEE Main DPP 2 December 2024 daily practice problems for 2025 aspirants from the Physics section:

Question 1: A monoatomic gas at pressure P and volume V is suddenly compressed to one eighth of its original volume. The final pressure at constant entropy will be :

(A)  P

(B) 8P

(C) 32P

(D) 64P

Answer (C)

Question 2: The percentage decrease in the weight of a rocket, when taken to a height of 32 km above the surface of earth will, be:

(Radius of earth = 6400 km)

(A) 1%

(B) 3%

(C) 4%

(D) 0.5%

Answer (A)

Question 3: A monkey of mass 50 kg climbs on a rope which can withstand the tension (T) of 350 N. If the monkey initially climbs down with an acceleration of 4 m/s2 and then climbs up with an acceleration of 5 m/s2. Choose the correct option (g = 10 m/s2).

(A) T = 700 N while climbing upward

(B) T = 350 N while going downward

(C) Rope will break while climbing upward

(D) Rope will break while going downward

Answer (C)

Question 4: A screw gauge of pitch 0.5 mm is used to measure the diameter of uniform wire of length 6.8 cm, the main scale reading is 1.5 mm and circular scale reading is 7. The calculated curved surface area of wire to appropriate significant figures is :

[Screw gauge has 50 divisions on its circular scale]

(A) 6.8 cm^2

(B) 3.4 cm^2

(C) 3.9 cm^2

(D) 2.4 cm^2

Answer (B)

Question 5: When a car is approaching the observer, the frequency of the horn is 100 Hz. After passing the observer, it is 50 Hz. If the observer moves with the car, the frequency will be x/3 HZ where x= ___

(A) 100

(B) 150

(C) 200

(D) 250

Answer (C)

JEE Main DPP 2 December 2024: Chemistry

Question 1: The difference in the reaction of phenol with bromine in chloroform and bromine in water medium is due to:

(A) Hyperconjugation in substrate

(B) Polarity of solvent

(C) Free radical formation

(D)  Electromeric effect of substrate

Answer (B)

Question 2: Stearic acid and polyethylene glycol react to form which one of the following soap/s detergents?

(A) Cationic detergent

(B) Soap

(C) Anionic detergent

(D) Non-ionic detergent

Answer (D)

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

Assertion (A) : Experimental reaction of CH3Cl with aniline and anhydrous AlCl3 does not give o and p-methylaniline.

Reason (R) : The –NH2 group of aniline becomes deactivating because of salt formation with anhydrous AlCl3 and hence yields m-methyl aniline as the product.

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

(A) Both (A) and (R) are true and (R) is the correct

(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: A mixture of hydrogen and oxygen contains 40% hydrogen by mass when the pressure is 2.2 bar. The partial pressure of hydrogen is            bar. (Nearest integer)

(A) 5

(B) 1

(C) 7

(D) 2

Answer (D)

Question 5: Photochemical smog is most likely to be found in which of the following industrial areas?

(A)  Marshy areas

(B)  Himalayan valley in winters

(C)  Warm moist climates

(D) Sunny dessert areas

Answer (D)

JEE Main DPP  2 December 2024: Mathematics

Candidates can check out the JEE Main DPP 2 December 2024 daily practice problems for 2025 aspirants from Maths section:

Problem 1: Let f(x)= ax^2+bx+c be such that f(1)=3, f(-2)=y and f(3)=4. If f(0)+ f(1)+ f(-2)+ f(3)=14, then y is equal to

(A) -4

(B) 13/2

(C) 23/2

(D) 4

Solution (D)

Problem 2: A class contains b boys and g girls. If the number of ways of selecting 3 boys and 2 girls from the class is 168, then b + 3 g is equal to        .

(A) 15

(B) 16

(C) 17

(D) 18

Solution (C)

Problem 3: Let mean and variance of the data 1, 2, 4, 5, x, y are 5 and 10 respectively. Then mean deviation about the mean of data is

(A) 5/2

(B) 7/2

(C) 5/6

(D) 7/6

Solution (A)

Problem 4: Using all the letters of the word MATHS, then rank of the word THAMS is

(A) 100

(B) 101

(C) 102

(D) 103

Solution (C)

Problem 5: A bag contains 4 white and 6 black balls. Three balls are drawn at random from the bag. Let X be the number of white balls, among the drawn balls. If s2 is the variance of X, then 100 s2 is equal to

(A) 52

(B) 53

(C) 54

(D) 56

Solution (D)