JEE Main DPP 23 December 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 23 December 2024

JEE Main DPP 23 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 23 December  2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read | NEET Daily Practice Questions 23 December 2024: DPP for 2025 aspirants

JEE Main DPP 23 December 2024: Physics

Candidates can check out the JEE Main DPP 23 December  2024 daily practice problems for 2025 aspirants from the Physics section:

Question 1: A parallel plate capacitor is formed by two plates each of area 30π cm2 separated by 1 mm. A material of dielectric strength 3.6 × 107 Vm–1 is filled between the plates. If the maximum charge that can be stored on the capacitor without causing any dielectric breakdown is 7 × 10–6 C, the value of dielectric constant of the material is :

(A) 1.66

(B) 1.75

(C)  2.25

(D) 2.33

Answer (D)

Question 2: A baseband signal of  3.5 MHz frequency is  modulated with a carrier signal of 3.5 GHz frequency using amplitude modulation method. What should be the minimum size of antenna required to transmit the modulated signal?

(A) 42.8 m

(B) 42.8 mm

(C) 21.4 mm

(D) 21.4 m

Answer (C)

Question 3: A Carnot engine whose heat sinks at 27°C, has an efficiency of 25%. By how many degrees should the temperature of the source be changed to increase the efficiency by 100% of the original efficiency?

(A) Increases by 18°C

(B) Increases by 200°C

(C) Increases by 120°C

(D) Increases by 73°C

Answer (B)

Question 4: The magnetic field at the centre of a circular coil of radius r, due to current I flowing through it, is B. The magnetic field at a point along the axis at a distance r/2 from the centre is

(A) B/2

(B)  2B

(C) [ 2/(5)^½]^3 B

(D) [ 2/(3)^½]^3 B

Answer (C)

Question 5: Two identical thin biconvex lenses of focal length 15 cm and refractive index 1.5 are in contact with each other. The space between the lenses is filled with a liquid of refractive index 1.25. The focal length of the combination is   cm.

(A) 8

(B)10

(C) 12

(D) 14

Answer (B)

JEE Main DPP 23 December 2024: Chemistry

Candidates can check out the JEE Main DPP 23 December  2024 daily practice problems for 2025 aspirants from the Chemistry section:

Question 1: Two statements are given below:

Statement I: The melting point of monocarboxylic acid with an even number of carbon atoms is higher than that of with an odd number of carbon atoms acid immediately below and above it in the series.

Statement II: The solubility of monocarboxylic acids in water decreases with increase in molar mass.

Choose the most appropriate option:

(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 (A)

Question 2: Which of the following is an example of polyester?

(A)   Butadiene-styrene copolymer

(B)   Melamine polymer

(C)   Neoprene

(D)  Poly-b-hydroxybutyrate-co-b-hydroxy valerate

Answer (D)

Question 3: A polysaccharide ‘X’ on boiling with dil. H2SO4 at 393 K under 2-3 atm pressure yields ‘Y’. ‘Y’ on treatment with bromine water gives gluconic acid. ‘X’ contains b-glycosidic linkages only. Compound ‘X’ is:

(A) starch

(B) cellulose

(C) amylose

(D) amylopectin

Answer (B)

Question 4: Which of the following is not a broad-spectrum antibiotic?

(A)   Vancomycin

(B)   Ampicillin

(C)   Ofloxacin

(D)  Penicillin G

Answer (D)

Question 5: A 0.166 g sample of an organic compound was digested with conc. H2SO4 and then distilled with NaOH. The ammonia gas evolved through 50.0 mL of 0.5 N H2SO4. The used acid required 30.0 mL of 0.25 N NaOH for complete neutralisation. The mass percentage of nitrogen in the organic compound is   .

(A) 61

(B) 62

(C) 63

(D) 64

Answer (C)

JEE Main DPP 23 December 2024: Mathematics

Candidates can check out the JEE Main DPP 23 December 2024 daily practice problems for 2025 aspirants from Maths section:

Problem 1: Let  a  vector  a.  be  coplanar  with  vectors b. = 2iˆ + jˆ + kˆ and c. = iˆ - jˆ + kˆ. If a. is perpendicular to d = 3i + 2 j + 6k, and a =  10. Then a possible value of [a. b. c].  + [a. b. d.]  + [a. c. d].  is equal to

(1) -42

(2) -40

(3) -38

(4) -29

Solution (1)

Problem 2: Let L be the line of intersection of planes r × (iˆ - jˆ + 2kˆ) = 2 and r × (2iˆ + ˆj - kˆ) = 2. If P(a, b, c) is the foot of perpendicular on L from the point (1, 2, 0), then the value of 35(a + b + c) is equal to

(1) 143

(2) 101

(3) 134

(4) 119

Solution (4)

Problem 3: Let the circle S : 36x2 + 36y2 – 108x + 120y + c = 0 be such that it neither intersects nor touches the co- ordinate axes. If the point of intersection of the lines, x – 2y = 4 and 2x – y = 5 lies inside the circle S,

(1) 25/9 <c< 13/3

(2) 81<c< 156

(3) 100<c<156

(4)100<c<165

Solution (3)

Problem 4: Let a line L : 2x + y = k, k > 0 be a tangent to the hyperbola x2 – y2 = 3. If L is also a tangent to the parabola y2 = ax, the a is equal to :

(1) –24

(2) 24

(3) 12

(4) –12

Solution (1)

Problem 5: Four dice are thrown simultaneously and the numbers shown on these dice are recorded in 2 × 2 matrices. The probability that such formed matrices have all different entries and are non-singular, is

(1) 43/162

(2) 45/162

(3)  22/81

(4)   23/81

Solution (1)