JEE Main DPP 16 December 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 16 December 2024

JEE Main DPP 16 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 16 December  2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read | NEET Daily Practice Questions 16 December 2024: DPP for 2025 aspirants

JEE Main DPP 16 December 2024: Physics

Candidates can check out the JEE Main DPP 16 December  2024 daily practice problems for 2025 aspirants from the Physics section:

Question 1: Identify the pair of physical quantities that have same dimensions :

(A) velocity gradient and decay constant

(B) Wien's constant and Stefan constant

(C) angular frequency and angular momentum

(D) wave number and Avogadro number

Answer (A)

Question 2: The distance between the Sun and Earth is R. The duration of year if the distance between Sun and Earth becomes 3R will be :

(A) (3)^½ years

(B) 3 years

(C) 9 years

(D) 3(3)^½ years

Answer (D)

Question 3: A stone of mass m tied to a string is being whirled in a vertical circle with a uniform speed. The tension in the string is

(A) the same throughout the motion.

(B) minimum at the highest position of the circular path.

(C) minimum at the lowest position of the circular path.

(D) minimum when the rope is in the horizontal position.

Answer (B)

Question 4: Two identical charged particles each having a mass 10 g and charge 2.0 × 10–7 C are placed on a horizontal table with a separation of L between them such that they stay in limited equilibrium. If the coefficient of friction between each particle and the table is 0.25, find the value of L. [Use g = 10 ms–2]

(1)  12 cm

(2)  10 cm

(3)  8 cm

(4)  5 cm

Answer (A)

Question 5: A Carnot engine takes 5000 kcal of heat from a reservoir at 727°C and gives heat to a sink at 127°C. The work done by the engine is

(A) 3 × 10^6 J

(B) Zero

(C) 12.6 × 10^6 J

(D) 8.4 × 10^6 J

Answer (C)

JEE Main DPP 16 December 2024: Chemistry

Candidates can check out the JEE Main DPP 16 December  2024 daily practice problems for 2025 aspirants from the Chemistry section:

Question 1: 120 g of an organic compound that contains only carbon and hydrogen gives 330 g of CO2 and 270 g of water on complete combustion. The percentage of carbon and hydrogen, respectively are

(A) 25 and 75

(B) 40 and 60

(C) 60 and 40

(D) 75 and 25

Answer (D)

Question 2: The energy of one mole of photons of radiation of wavelength 300 nm is (Given h = 6.63 ×10–34Js, NA = 6.02 × 1023 mol–1, c = 3 × 108 ms–1)

(A) 235 kJ mol–1

(B) 325 kJ mol–1

(C) 399 kJ mol–1

(D) 435 kJ mol–1

Answer (C)

Question 3: For a first order reaction, the time required for completion of 90% reaction is ‘x’ times the half life of the reaction. The value of ‘x’ is (Given: In 10 =2.303 and log 2 = 0.3010)

(A) 1.12

(B) 2.43

(C) 3.32

(D) 33.31

Answer (C)

Question 4: Metals generally melt at very high temperatures. Amongst the following, the metal with the highest melting point will be

(A)  Hg

(B) Ag

(C) Ga

(D) Cs

Answer (B)

Question 5: In the industrial production of which of the following, molecular hydrogen is obtained as a byproduct?

(A)   NaOH

(B)   NaCl

(C)   Na metal

(D)   Na2CO3

Answer (A)

JEE Main DPP 16 December 2024: Mathematics

Candidates can check out the JEE Main DPP 16 December 2024 daily practice problems for 2025 aspirants from Maths section:

Problem 1: Let r1 and r2 be the radii of the largest and smallest circles, respectively, which pass through the point (–4, 1) and have their centres on the circumference of the circle  x2 + y2 + 2x + 4y – 4 = 0. If r1/r2 = a + b(2)^½, then a + b is equal to

(1) 3

(2) 7

(3) 11

(4) 5

Solution (4)

Problem 2: If the mean and variance of six observations 7, 10, 11, 15, a, b are 10 and 20/3, respectively, then the value of |a – b| is equal to

(1)  7

(2) 11

(3) 1

(4)  9

Solution (2)

Problem 3: In a triangle ABC, if | BC |= 3, | CA |= 5 and |BA| = 7, then the projection of the vector BA on BC is equal to :

1) 13/2

(2) 19/2

(3) 15/2

(4)11/2

Solution (4)

Problem 4: Consider the following three statements

(A) If 3 + 3 = 7 then 4 + 3 = 8.

(B)  If 5 + 3 = 8 then earth is flat.

(C)  If both (A) and (B) are true then 5 + 6 = 17. Then, which of the following statements is correct?

(1)  (A) and (B) are false while (C) is true

(2)  (A) is false, but (B) and (C) are true

(3)  (A) and (C) are true while (B) is false

(4)  (A) is true while (B) and (C) are false

Solution (3)

Problem 5: Let A, B and C be three events such that the probability that exactly one of A and B occurs is (1 – k), the probability that exactly one of B and C occurs is (1 – 2k), the probability that exactly one of C and A occurs is (1 – k) and the probability of all A, B and C occur simultaneously is k2, where 0 < k < 1. Then the probability that at least one of A, B and C occur is

(1) Greater than 1/2

(2) Exactly equal to ½

(3) Greater than ⅛ but less than ¼

(4) Greater than 1/4 but less than ½

Solution (1)