JEE Main DPP 12 December 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 12 December 2024

JEE Main DPP 12 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 12 December 2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read | NEET Daily Practice Questions 12 December 2024: DPP for 2025 aspirants

JEE Main DPP 12 December 2024: Physics

Candidates can check out the JEE Main DPP 12 December  2024 daily practice problems for 2025 aspirants from the Physics section:

Question 1: 20. A person observes two moving trains, ‘A’ reaching the station and ‘B’ leaving the station with an equal speed of 30 m/s. If both trains emit sounds with frequency 300 Hz, (Speed of sound: 330 m/s) approximate difference of frequencies heard by the person will be:

(1) 33 Hz

(2) 10 Hz

(3) 55 Hz

(4) 80 Hz

Answer (3)

Question 2: A certain elastic conducting material is stretched into a circular loop. It is placed with its plane perpendicular to a uniform magnetic field B = 0.8 T. When released the radius of the loop starts shrinking at a constant rate of 2 cms–1. The induced emf in the loop at an instant when the radius of the loop is 10 cm will be —-----mV.

(1) 10

(2) 15

(3) 20

(4) 25

Answer (1)

Question 3: A point charge q1 = 4q0 is placed at origin. Another point charge q2 = –q0 is placed at x = 12 cm. The charge of the proton is q0. The proton is placed on the x axis so that the electrostatic force on the proton is zero. In this situation, the position of the proton from the origin is______cm.

(1) 18

(2) 24

(3) 28

(4) 32

Answer (2)

Question 4: A 0.4 kg mass takes 8 s to reach ground when dropped from a certain height ‘P’ above the surface of earth. The loss of potential energy in the last second of fall is ______ J.

(Take g = 10 m/s2)

(1) 200

(2) 250

(3) 300

(4) 350

Answer (4)

Question 5: A solid sphere of mass 2 kg is making pure rolling on a horizontal surface with kinetic energy 2240 J. The velocity of centre of mass of the sphere will be ___m/s

(1) 10

(2) 20

(3) 30

(4) 40

Answer (4)

JEE Main DPP 12 December 2024: Chemistry

Candidates can check out the JEE Main DPP 12 December  2024 daily practice problems for 2025 aspirants from the Chemistry section:

Question 1: Correct statement about smog is

(1)  NO2 is present in classical smog

(2)  Classical smog also has high concentration of oxidizing agents

(3)  Photochemical smog has high concentration of oxidizing agents

(4)  Both NO2 and SO2 are present in classical smog

Answer (3)

Question 2: Millimoles of calcium hydroxide required to produce 100 mL of the aqueous solution of pH 12 is x × 10–1. The value of x is                        (Nearest integer).

(1) 05.00

(2) 06.00

(3) 07.00

(4) 08.00

Answer (1)

Question 3: TWhich of the following has the same d-electrons as chromium in chromyl chloride?

(1)  Fe(III)

(2)  Ni(III)

(3)  Mn(VII)

(4)  Co(II)

Answer (3)

Question 4: Given below are two statements:

Statement I : Noradrenaline is a neurotransmitter.

Statement II : Low level of noradrenaline is not the cause of depression in humans.

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

(1) Statement I is correct but Statement II is incorrect

(2) Statement I is incorrect but Statement II is correct

(3) Both statement I and Statement II are incorrect

(4)  Both statement I and Statement II are correct

Answer (1)

Question 5: Assertion: Higher energy is required for the conversion of Mg to Mg2– than that for Mg to Mg–. Reason: Mg2– has a very small size and more charge.

(1)  Both Assertion and Reason are correct and Reason is the correct explanation of Assertion

(2) Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion

(3)  Assertion is correct but Reason is incorrect

(4)  Assertion is incorrect but Reason is correct

Answer (3)

JEE Main DPP 12 December 2024: Mathematics

Candidates can check out the JEE Main DPP 12 December 2024 daily practice problems for 2025 aspirants from Maths section:

Problem 1: A box open from top is made from a rectangular sheet of dimension a × b by cutting squares each of side x from each of the four corners and folding up the flaps. If the volume of the box is maximum, then x is equal to

Solution (2)

Problem 2: Each of the person A and B independently tosses three fair coins. The probability that both of them get the same number of heads is :

(1) 1/8

(2) 5/8

(3) 1

(4) 5/16

Solution (4)

Problem 3: The area of the region bounded by the parabola (y – 2)2 = (x – 1), the tangent to it at the point whose ordinate is 3 and the x-axis is

(1) 4

(2) 6

(3) 10

(4) 9

Solution (4)

Problem 4: If two tangents drawn from a point P to the parabola y2 = 16(x – 3) are at right angles, then the locus of point P is

(1)   x + 2 = 0

(2) x + 4 = 0

(3) x + 1 = 0

(4) x + 3 = 0

Solution (3)

Problem 5: An online exam is attempted by 50 candidates out of which 20 are boys. The average marks obtained by boys is 12 with a variance 2. The variance of marks obtained by 30 girls is also 2. The average marks of all 50 candidates is 15. If m is the average marks of girls and s2 is the variance of marks of 50 candidates, then m + s2 is equal to

(1) 20

(2) 25

(3) 30

(4) 35

Solution (2)