JEE Main DPP 29 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 29 December 2024, including five questions from each subject: Mathematics, Physics, and Chemistry.
Also Read | NEET Daily Practice Questions 29 December 2024: DPP for 2025 aspirants
JEE Main DPP 29 December 2024: Physics
Candidates can check out the JEE Main DPP 29 December 2024 daily practice problems for 2025 aspirants from the Physics section:
Question 1: Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: Moment of inertia of a circular disc of mass ‘M’ and radius ‘R’ about X, Y axes (passing through its plane) and Z-axis which is perpendicular to its plane were found to be Ix, Iy & Iz respectively. The respective radii of gyration about all the three axes will be the same
Reason R: A rigid body making rotational motion has fixed mass and shape.
In the light of the above statements, choose the most appropriate answer from the options given below:
(1) Both A and R are correct but R is NOT the correct explanation of A.
(2) A is correct but R is not correct.
(3) A is not correct but R is correct.
(4) Both A and R are correct and R is the correct explanation of A.
Answer (3)
Question 2: Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at 4th second after its fall to the next droplet is 34.3 m. At what rate the droplets are coming from the tap? (Take g = 9.8 m/s2)
(1) 1 drop / 7 seconds
(2) 3 drops / 2 seconds
(3) 2 drops / second
(4) 1 drop / second
Answer (4)
Question 3: A particle of mass 4M at rest disintegrates into two particles of mass M and 3M respectively having non zero velocities. The ratio of de-Broglie wavelength of particle of mass M to that of mass 3M will be:
(1) 1 : 3
(2) 1:(2)^½
(3) 1 : 1
(4) 3 : 1
Answer (3)
Question 4: A ray of laser of a wavelength 630 nm is incident at an angle of 30° at the diamond-air interface. It is going from diamond to air. The refractive index of diamond is 2.42 and that of air is 1. Choose the correct option.
(1) refraction is not possible
(2) angle of refraction is 30°
(3) angle of refraction is 24.41°
(4) angle of refraction is 53.4°
Answer (1)
Question 5: A body of mass 2 kg moving with a speed of 4 m/s makes an elastic collision with another body at rest and continues to move in the original direction but with one fourth of its initial speed. The speed of the two body centers of mass is x/10 m/s. Then the value of x is
(1) 20
(2) 25
(3) 30
(4) 35
Answer (2)
JEE Main DPP 29 December 2024: Chemistry
Candidates can check out the JEE Main DPP 29 December 2024 daily practice problems for 2025 aspirants from the Chemistry section:
Question 1: Given below are two statements, one is labelled as Assertion (A) and other is labelled as Reason (R).
Assertion (A): Gabriel phthalimide synthesis cannot be used to prepare aromatic primary amines.
Reason (R) : Aryl halides do not undergo nucleophilic substitution reaction.
In the light of the above statements, choose the correct answer from the options given below :
(1) (A) is false but (R) is true
(2) Both (A) and (R) are true and (R) is correct explanation of (A)
(3) (A) is true but (R) is false
(4) Both (A) and (R) are true but (R) is not the correct explanation of (A)
Answer (2)
Question 2: In the leaching of alumina from bauxite, the ore expected to leach out in the process by reacting with NaOH is
(1) TiO2
(2) ZnO
(3) SiO2
(4) Fe2O3
Answer (3)
Question 3: Which one of the following chemical agents is not being used for dry-cleaning of clothes?
(1) H2O2
(2) Liquid CO2
(3) CCl4
(4) Cl2C = CCl2
Answer (3)
Question 4: The water soluble protein is
(1) Albumin
(2) Collagen
(3) Myosin
(4) Fibrin
Answer (1)
Question 5: Given below are two statements :
Statement I : None of the alkaline earth metal hydroxides dissolve in alkali.
Statement II : Solubility of alkaline earth metal hydroxides in water increases down the group.
In the light of the above statements, choose the most appropriate answer from the options given below
(1) Statement I and Statement II both are correct
(2) Statement I and Statement II both are incorrect
(3) Statement I is incorrect but Statement II is correct
(4) Statement I is correct but Statement II is incorrect
Answer (1)
JEE Main DPP 29 December 2024: Mathematics
Candidates can check out the JEE Main DPP 29 December 2024 daily practice problems for 2025 aspirants from Maths section:
Problem 1: If for a > 0, the feet of perpendiculars from the points A(a, –2a, 3) and B(0, 4, 5) on the plane lx + my + nz = 0 are points C(0, –a, –1) and D respectively, then the length of line segment CD is equal to :
(1) (41)^½
(2) (66)^½
(3) (55)^½
(4) (31)^½
Solution (2)
Problem 2: Consider three observations a, b and c such that b = a + c. If the standard deviation of a + 2, b + 2, c + 2 is d, then which of the following is true?
(1) b2 = a2 + c2 + 3d2
(2) b2 = 3(a2 + c2) – 9d2
(3) b2 = 3(a2 + c2) + 9d2
(4) b2 = 3(a2 + c2 + d2)
Solution (2)
Problem 3: Let P be a plane lx + my + nz = 0 containing the (1-x)/1= (y+4)/4= (z+2)/3. If plane P divides the line segment AB joining points A(–3, –6, 1) and B(2, 4, –3) in ratio k : 1 then the value of k is equal
(1) 2
(2) 4
(3) 1.5
(4) 3
Solution (1)
Problem 4:
The number of elements in the set {xÎR : (| x | – 3) | x + 4 | = 6} is equal to :
(1) 4
(2) 2
(3) 1
(4) 3
Solution (2)
Problem 5: A pack of cards has one card missing. Two cards are drawn randomly and are found to be spades. The probability that the missing card is not a spade, is
(1) 52/827
(2) 22/425
(3) 3/4
(4) 39/50
Solution (4)