JEE Main DPP 18 December 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 18 December 2024

JEE Main DPP 18 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 18 December  2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read | NEET Daily Practice Questions 18 December 2024: DPP for 2025 aspirants

JEE Main DPP 18 December 2024: Physics

Candidates can check out the JEE Main DPP 18 December  2024 daily practice problems for 2025 aspirants from the Physics section:

Question 1: A boy ties a stone of mass 100 g to the end of a 2 m long string and whirls it around in a horizontal plane. The string can withstand the maximum tension of 80 N. If the maximum speed with which the stone can revolve is k/ π rev. / min . The value of K is

(Assume the string is massless and unstretchable)

(A)  400

(B) 300

(C)  600

(D) 800

Answer (C)

Question 2: A resistance of 40 ohms  is connected to a source of alternating current rated 220 V, 50 Hz. Find the time taken by the current to change from its maximum value to the rms value :

(A)  2.5 ms

(B) 1.25 ms

(C) 2.5 s

(D) 0.25 s

Answer (A)

Question 3: The equations of two waves are given by :

y1 = 5 sin 2π(x – vt) cm

y2 = 3 sin 2π(x – vt + 1.5) cm

These waves are simultaneously passing through a string. The amplitude of the resulting wave is :

(A)  2 cm

(B)  4 cm

(C)  5.8 cm

(D)  8 cm

Answer (A)

Question 4: Choose the correct option from the following options given below:

(A)  In the ground state of Rutherford’s model electrons are in stable equilibrium. While in Thomson’s model electrons always experience a net-force

(B)  An atom has a nearly continuous mass distribution in a Rutherford’s model but has a highly non-uniform mass distribution in Thomson’s model

(C)  A classical atom based on Rutherford’s model is doomed to collapse.

(D) The positively charged part of the atom possesses most of the mass in Rutherford’s model but not in Thomson’s model.

Answer (C)

Question 5: Nucleus A has mass number 220 and its binding energy per nucleon is 5.6 MeV. It splits in two fragments ‘B’ and ‘C’ of mass numbers 105 and 115. The binding energy of nucleons in ‘B’ and ‘C’ is 6.4 MeV per nucleon. The energy Q released per fission will be :

(A) 0.8 MeV

(B) 275 MeV

(C) 220 MeV

(D) 176 MeV

Answer (D)

JEE Main DPP 18 December 2024: Chemistry

Candidates can check out the JEE Main DPP 18 December  2024 daily practice problems for 2025 aspirants from the Chemistry section:

Question 1: The highest industrial consumption of molecular hydrogen is to produce compounds of element:

(A) Carbon

(B) Nitrogen

(C) Oxygen

(D) Chlorine

Answer (B)

Question 2: Which of the following statements are correct?

(A)   Both LiCl and MgCl2 are soluble in ethanol.

(B)   The oxides Li2O and MgO combine with excess oxygen to give superoxide.

(C)   LiF is less soluble in water than other alkali metal fluorides.

(D)   Li2O is more soluble in water than other alkali metal oxides.

Choose the most appropriate answer from the options given below:

(A) (A) and (C) only

(B) (A), (C) and (D) only

(C) (B) and (C) only

(D) (A) and (D) only

Answer (A)

Question 3: Identify the correct statement for B2H6 from those given below:

(A)   In B2H6, all B-H bonds are equivalent.

(B)   In B2H6, there are four 3-centre-2-electron bonds.

(C)   B2H6 is a Lewis acid.

(D)  B2H6 can be synthesized from both BF3 and NaBH4.

(E)   B2H6 is a planar molecule.

Choose the most appropriate answer from the options given below:

(A) (A) and (E) only

(B) (B), (C) and (E) only

(C) (C) and (D) only

(D) (C) and (E) only

Answer (C)

Question 4: The most stable trihalide of nitrogen is:

(A)  NF3

(B) NCl3

(C) NBr3

(D) NI3

Answer (A)

Question 5: Which one of the following elemental forms is not present in the enamel of the teeth?

(A)   Ca2+

(B)   P3+

(C)   F–

(D)  P5+

Answer (B)

JEE Main DPP 18 December 2024: Mathematics

Candidates can check out the JEE Main DPP 18 December 2024 daily practice problems for 2025 aspirants from Maths section:

Problem 1: The values of a and b, for which the system of equations

2x + 3y + 6z = 8

x + 2y + az = 5

3x + 5y + 9z = b has no solution, are

(1) a is not equal to 3, b is not equal to13

(2) a = 3, b = 13

(3) a is not equal to 3, b=13

(4) a=3, b is not equal to13

Solution (4)

Problem 2: The locus of the centroid of the triangle formed by any point P on the hyperbola 16x2 – 9y2 + 32x + 36y – 164 = 0, and its foci is

(1)   16x2 – 9y2 + 32x + 36y – 36 = 0

(2)   9x2 – 16y2 + 36x + 32y – 144 = 0

(3)   9x2 – 16y2 + 36x + 32y – 36 = 0

(4)   16x2 – 9y2 + 32x + 36y – 144 = 0

Solution (1)

Problem 3: Let a parabola P be such that its vertex and focus lie on the positive x-axis at a distance 2 and 4 units from the origin, respectively. If tangents are drawn from O(0, 0) to the parabola P which meet P at S and R, then the area (in sq. units) of DSOR is equal to

(1) 16

(2) 32

(3) 6

(4) 4

Solution (1)

Problem 4: Let the foot of perpendicular from a point p (1, 2, -1) to the straight line L: x/1=y/0=z/-1 be N. Let a line be drawn from P parallel to the plane x + y + 2z = 0 which meets L at point Q. If a is the acute angle between the lines PN and PQ, then cosa is equal to         .

(1) 1/2

(2) 1/(3)^½

(3) (3)^½

(4) 0

Solution (2)

Problem 5: There are 5 students in class 10, 6 students in class 11 and 8 students in class 12. If the number of ways, in which 10 students can be selected from them so as to include at least 2 students from each class and at most 5 students from the total 11 students of class 10 and 11 is 100 k, then k is equal to    .

(1) 236

(2) 238

(3) 240

(4) 242

Solution: (2)