JEE Main DPP 9 December 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 9 December 2024

JEE Main DPP 9 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 9 December  2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read | NEET Daily Practice Questions 9 December 2024: DPP for 2025 aspirants

JEE Main DPP 9 December 2024: Physics

Candidates can check out the JEE Main DPP 9 December  2024 daily practice problems for 2025 aspirants from the Physics section:

Question 1: Given below are two statements :

Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature.

Statement II : The rms speed of oxygen molecules in a gas is v. If the temperature is doubled and the oxygen molecules dissociate into oxygen atoms, the rms speed will become 2v.

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

(A) Both Statement I and Statement II are true

(B) Both Statement I and Statement II are false

(C) Statement I is true but Statement II is false

(D) Statement I is false but Statement II is true

Answer (D)

Question 2: A wire of resistance R1 is drawn out so that its length is increased by twice of its original length. The ratio of new resistance to original resistance is :

(A) 9 : 1

(B) 1 : 9

(C) 4 : 1

(D) 3 : 1

Answer (A)

Question 3: Two capacitors, each having capacitance 40 mF are connected in series. The space between one of the capacitors is filled with dielectric material of dielectric constant K such that the equivalence capacitance of the system becomes  24 micro F. The value of K will be

(A) 1.5

(B) 2.5

(C) 1.2

(D) 3

Answer (A)

Question 4: The current sensitivity of a galvanometer can be increased by :

(A)  Decreasing the number of turns

(B)  Increasing the magnetic field

(C)  Decreasing the area of the coil

(D)  Decreasing the torsional constant of the spring

Choose the most appropriate answer from the options given below :

(A) (B) and (C) only

(B) (C) and (D) only

(C) (A) and (C) only

(D) (B) and (D) only

Answer (D)

Question 5: In normal adjustment, for a refracting telescope, the distance between objective and eye piece is 30 cm. The focal length of the objective, when the angular magnification of the telescope is 2, will be:

(A) 20 cm

(B) 30 cm

(C)10 cm

(D)15 cm

Answer (A)

JEE Main DPP 9 December 2024: Chemistry

Question 1: For kinetic study of the reaction of iodide ion with H2O2 at room temperature :

(A)  Always use freshly prepared starch solution.

(B)  Always keep the concentration of sodium thiosulphate solution less than that of Kl solution.

(C)  Record the time immediately after the appearance of blue colour.

(D)  Record the time immediately before the appearance of blue colour.

(E)  Always keep the concentration of sodium thiosulphate solution more than that of Kl solution.

Choose the correct answer from the options given below :

(A) (A), (B), (C) only

(B) (A), (D), (E) only

(C) (D), (E) only

(D) (A), (B), (E) only

Answer (A)

Question 2: An element M crystallises in a body centred cubic unit cell with a cell edge of 300 pm. The density of the element is 6.0 g cm–3. The number of atoms present in 180 g of the element is ×10^23. (Nearest integer)

(A)  21

(B) 22

(C) 23

(D) 24

Answer (B)

Question 3: For the given first order reaction A B, the half- life of the reaction is 0.3010 min. The ratio of the initial concentration of reactant to the concentration of reactant at time 2.0 min will be equal to _. (Nearest integer)

(A) 100

(B) 110

(C) 120

(D) 130

Answer (A)

Question 4: Some drugs bind to a site other than the active site of an enzyme. This site is known as

(A) Non- active site

(B) Allosteric site

(C) Competitive site

(D) Therapeutic site

Answer (B)

Question 5: Given below are two statements: one is labelled as Assertion A and other is labelled as Reason R.

Assertion A : Finest gold is red in colour, as the size of the particles increases, it appears purple then blue and finally gold.

Reason R : The colour of the colloidal solution depends on the wavelength of light scattered by the dispersed particles.

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 explanation of A

(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)

JEE Main DPP 9 December 2024: Mathematics

Candidates can check out the JEE Main DPP 9 December  2024 daily practice problems for 2025 aspirants from Maths section:

Problem 1: Let a be a root of the equation 1 + x^2 + x^4 = 0. Then the value of a1011 + a2022 – a3033 is equal to

(A) 1

(B) a

(C) 1 + a

(D) 1 + 2a

Solution (A)

Problem 2: The distance of the origin from the centroid of the triangle whose two sides have the equations x – 2y + 1 = 0 and 2x – y – 1 = 0 and whose orthocenter is (7/3, 7/3) is

(A) (2)^½

(B) 2

(C) 2(2)^½

(D) 4

Solution (C)

Problem 3: Let Q be the mirror image of the point P(1, 2, 1) with respect to the plane x + 2y + 2z = 16. Let T be a plane passing through the point Q and contains the line r = –kˆ + l(iˆ + jˆ + 2kˆ), l Î . Then, which of the following points lies on T?

(A) (2, 1, 0)

(B) (1, 2, 1)

(C) (1, 2, 2)

(D) (1, 3, 2)

Solution (B)

Problem 4: The probability that a relation R from {x, y} to {x, y} is both symmetric and transitive, is equal to

(A) 5/16

(B) 9/16

(C) 11/16

(D) 13/16

Solution (A)

Problem 5: From the base of a pole of height 20 meters, the angle of elevation of the top of a tower is 60°. The pole subtends an angle 30° at the top of the tower. Then the height of the tower is :

(A) 15(3)^½

(B) 20(3)^½

(C) 20+10(3)^½

(D) 30

Solution (D)