JEE Main DPP 28 December 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 28 December 2024

JEE Main DPP 28 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 28 December  2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read | NEET Daily Practice Questions 28 December 2024: DPP for 2025 aspirants

JEE Main DPP 28 December 2024: Physics

Candidates can check out the JEE Main DPP 28 December  2024 daily practice problems for 2025 aspirants from the Physics section:

Question 1: 7 mol of a certain monoatomic ideal gas undergoes a temperature increase of 40 K at constant pressure. The increase in the internal energy of the gas in this process is :

(Given R = 8.3 JK–1 mol–1)

(A) 5810 J

(B) 3486 J

(C) 11620 J

(D) 6972 J

Answer (B)

Question 2: 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 3: A water drop of radius 1 cm is broken into 729 equal droplets. If surface tension of water is 75 dyne/cm, then the gain in surface energy up to first decimal place will be :

(A) 8.5 × 10–4 J

(B) 8.2 × 10–4 J                                    4

(C) 7.5 × 10–4 J

(D) 5.3 × 10–4 J

Answer (C)

Question 4: 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 5: 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)

JEE Main DPP 28 December 2024: Chemistry

Candidates can check out the JEE Main DPP 28 December  2024 daily practice problems for 2025 aspirants from the Chemistry section:

Question 1: Chlorophyll extracted from the crushed green leaves was dissolved in water to make 2 L solution of Mg of concentration 48 ppm. The number of atoms of Mg in this solution is x × 1020 atoms. The value of x is     . (Nearest integer)

(Given : Atomic mass of Mg is 24 g mol–1; NA = 6.02 × 1023 mol–1)

(A) 22

(B) 23

(C) 24

(D) 25

Answer (C)

Question 2: 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) 0

(B) 1

(C) 2

(D) 3

Answer (C)

Question 3: 2.4 g coal is burnt in a bomb calorimeter in excess of oxygen at 298 K and 1 atm pressure. The temperature of the calorimeter rises from 298 K to 300 K. The enthalpy change during the combustion of coal is –x kJ mol–1. The value of x is        . (Nearest integer)

(Given : Heat capacity of bomb calorimeter is 20.0 kJ K–1. Assume coal to be pure carbon)

(A) 100

(B)  200

(C)  300

(D) 400

Answer (B)

Question 4: When 800 mL of 0.5 M nitric acid is heated in a beaker, its volume is reduced to half and 11.5 g of nitric acid is evaporated. The molarity of the remaining nitric acid solution is x × 10–2 M. (Nearest integer)

(Molar mass of nitric acid is 63 g mol–1)

(A) 51

(B) 52

(C) 53

(D) 54

Answer (D)

Question 5: For a reaction A-> 2B + C the half lives are 100 s and 50 s when the concentration of reactant A is 0.5 and 1.0 mol L–1 respectively. The order of the reaction is _ _. (Nearest integer)

(A)  1

(B)  2

(C) 3

(D)  4

Answer (B)

JEE Main DPP 28 December 2024: Mathematics

Candidates can check out the JEE Main DPP 28 December 2024 daily practice problems for 2025 aspirants from Maths section:

Problem 1: If the equation of plane passing through the mirror image of a point (2, 3, 1) with respect to line (x+1)/2 =(y-3)/1= (z+2)/-1 and containing the line (x-2)/3 =(1-y)/2 =(z+1)/1 is ax + by + gz = 24, then a + b + g is equal to :

(1) 20

(2) 19

(3) 18

(4) 21

Solution (3)

Problem 2: Let L be a tangent line to the parabola y2 = 4x – 20 at (6, 2). If L is also a tangent to the ellipse x^2/2+y^2/2=1, then the value of b is equal to :

(1) 11

(2) 16

(3) 14

(4) 20

Solution (3)

Problem 3: Let a computer program generate only the digits 0 and 1 to form a string of binary numbers with probability of occurrence of 0 at even places be ½  and probability 1  of occurrence of 0 at the odd place be ⅓. Then the probability that ‘10’ is followed by ‘01’ is equal to :

(1) 1/18

(2) 1/3

(3) 1/6

(4) 1/9

Solution (4)

Problem 4: If the sides AB, BC and CA of a triangle ABC have 3, 5 and 6 interior points respectively, then the total number of triangles that can be constructed using these points as vertices, is equal to :

(1) 240

(2) 364

(3) 360

(4) 333

Solution (4)

Problem 5: Let P be an arbitrary point having sum of the squares of the distances from the planes x + y + z= 0, lx – nz = 0 and x – 2y + z = 0, equal to 9. If the locus of the point P is x2 + y2 + z2 = 9, then the value of l-n is equal to

(1) 1

(2) 2

(3) 3

(4) 0

Solution (4)