JEE Main DPP 4 December 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 4 December 2024

JEE Main DPP 4 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 4 December 2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read | NEET Daily Practice Questions 4 December 2024: DPP for 2025 aspirants

JEE Main DPP 4 December 2024: Physics

Candidates can check out the JEE Main DPP 4 December 2024 daily practice problems for 2025 aspirants from the Physics section:

Question 1: A torque meter is calibrated to reference standards of mass, length and time each with 5% accuracy. After calibration, the measured torque with this torque meter will have net accuracy of

(A) 15%

(B) 25%

(C) 75%

(D) 5%

Answer (B)

Question 2: A bag is gently dropped on a conveyor belt moving at a speed of 2 m/s. The coefficient of friction between the conveyor belt and bag is 0.4. Initially the bag slips on the belt before it stops due to friction. The distance travelled by the bag on the belt during slipping motion, is

[Take g = 10 m/s2]

(A) 2 m

(B) 0.5 m

(C) 3.2 m

(D) 0.8 ms

Answer (B)

Question 3: Two satellites A and B, having masses in the ratio 4 : 3, are revolving in circular orbits of radii 3r and 4r respectively around the earth. The ratio of total mechanical energy of A to B is

(A) 9 : 16

(B) 16 : 9

(C) 1 : 1

(D) 4 : 3

Answer (B)

Question 4: Read the following statements:

A. When the small temperature difference between a liquid and its surrounding is doubled, the rate of loss of heat of the liquid becomes twice.

B. Two bodies P and Q having equal surface areas are maintained at temperature 10°C and 20°C. The thermal radiation emitted in a given time by P and Q are in the ratio 1 : 1.15.

C. A carnot Engine working between 100 K and 400 K has an efficiency of 75%.

D. When the small temperature difference between a liquid and its surroundings is quadrupled, the rate of loss of heat of the liquid becomes twice.

Choose the correct answer from the options given below

(A) A, B, C only

(B) A, B only

(C) A, C only

(D) B, C, D only

Answer (A)

Question 5: Two cylindrical vessels of equal cross-sectional area 16 cm2 contain water upto heights 100 cm and 150 cm respectively. The vessels are interconnected so that the water levels in them become equal. The work done by the force of gravity during the process, is [Take, density of water = 103 kg/m3 and g = 10 ms–2]

(A) 0.25 J

(B) 1 J

(C) 8 J

(D) 12 J

Answer (B)

JEE Main DPP 4 December 2024: Chemistry

Question 1: 250 g solution of D-glucose in water contains 10.8% of carbon by weight. The molality of the solution is nearest to (Given: Atomic Weights are, H, 1 u; C, 12 u; O, 16 u)

(A) 1.03

(B) 2.06

(C) 3.09

(D) 5.40

Answer (B)

Question 2: Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R.

Assertion A: Energy of 2s orbital of hydrogen atom is greater than that of 2s orbital of lithium.

Reason R : Energies of the orbitals in the same subshell decrease with increase in the atomic number.

In the light of the above statements, choose the correct 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 3: Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : Activated charcoal adsorbs SO2 more efficiently than CH4.

Reason (R) : Gases with lower critical temperatures are readily adsorbed by activated charcoal.

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 (C)

Question 4: The boiling point of a 2% aqueous solution of a non- volatile solute A is equal to the boiling point of 8% aqueous solution of a non-volatile solute B. The relation between molecular weights of A and B is

(A) MA = 4MB

(B) MB = 4MA

(C) MA = 8MB

(D) MB = 8MA

Answer (B)

Question 5: The incorrect statement is

(A) The first ionization enthalpy of K is less than that of Na and Li.

(B)  Xe does not have the lowest first ionization enthalpy in its group.

(C) The first ionization enthalpy of an element with atomic number 37 is lower than that of the element with atomic number 38.

(D)The first ionization enthalpy of Ga is higher than that of the d-block element with atomic number 30.

Answer (D)

JEE Main DPP 4 December 2024: Mathematics

Candidates can check out the JEE Main DPP 4 December 2024 daily practice problems for 2025 aspirants from Maths section:

Problem 1: The remainder when 3^2022 is divided by 5 is :

(A) 1

(B) 2

(C) 3

(D) 4

Solution (D)

Problem 2: The surface area of a balloon of spherical shape being inflated, increases at a constant rate. If initially, the radius of balloon is 3 units and after 5 seconds, it becomes 7 units, then its radius after 9 seconds is :

(A)   9

(B) 10

(C) 11

(D) 12

Solution (A)

Problem 3: Bag A contains 2 white, 1 black and 3 red balls and bas B contains 3 black, 2 red and n white balls. One bag is chosen at random and 2 balls drawn from it at random, are found to be 1 red and 1 black. If the probability that both balls come from Bag A is 6/11, then n is equal to           .

(A) 13

(B) 6

(C) 4

(D) 3

Solution (C)

Problem 4: The number of values of a for which the system of equations :

x + y + z = a

ax + 2ay + 3z = –1

x + 3ay + 5z = 4 is inconsistent, is

(A) 0

(B) 1

(C) 2

(D) 3

Solution (B)

Problem 5: The number of one to one functions f:{a,b,c,d}->{0,1,2,3….} such that 2f(a)-f(b)+3f(c)+f(d)=0 is

(A) 01

(B) 11

(C) 21

(D) 31

Solution (D)