JEE Main DPP 13 December 2024: Daily practice problems for 2025 aspirants

JEE Main DPP 13 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 13 December 2024, including five questions from each subject: Mathematics, Physics, and Chemistry.

Also Read | NEET Daily Practice Questions 13 December 2024: DPP for 2025 aspirants

JEE Main DPP 13 December 2024: Physics

Candidates can check out the JEE Main DPP 13 December 2024 daily practice problems for 2025 aspirants from the Physics section: 

Question 1: A small toy starts moving from the position of rest under a constant acceleration. If it travels a distance of 10 m in t s, the distance travelled by the toy in the next t s will be :

(A) 10 m                    

(B) 20 m

(C) 30 m                    

(D) 40 m

Answer (C)

Question 2: At what temperature can a gold ring of diameter 6.230 cm be heated so that it can be fitted on a wooden bangle of diameter 6.241 cm? Both the diameters have been measured at room temperature (27°C).

(Given: coefficient of linear thermal expansion of gold aL = 1.4 × 10–5 K–1)

(A) 125.7°C               

(B) 91.7°C

(C) 425.7°C               

(D) 152.7°C

Answer (D)

Question 3: Two point charges Q each are placed at a distance d apart. A third point charge q is placed at a distance x from mid-point on the perpendicular bisector. The value of x at which charge q will experience the maximum Coulombs force is :

(A) x = d                   

(B)  x = d /2       

(c)  x = d/(2)^½

(D) x = d /2(2)^½  

Answer (D)

Question 4: A capacitor is discharging through a resistor R. Consider in time t1, the energy stored in the capacitor reduces to half of its initial value and in time t2, the charge stored reduces to one eighth of its initial value. The ratio t1/t2 will be

(A) 1/2            

(B) 1/3

(C) 1/4               

(D) 1/6

Answer (D)

Question 5: The electric field at a point associated with a light wave is given by

E = 200[sin(6 × 10^15)t + sin(9 × 10^15)t] Vm–1

Given : h = 4.14 × 10^–15 eVs

If this light falls on a metal surface having a work function of 2.50 eV, the maximum kinetic energy of the photoelectrons will be

(A)  1.90 eV

(B)  3.27 eV

(C) 3.60 eV

(D) 3.42 eV

Answer (D)

JEE Main DPP 13 December 2024: Chemistry

Candidates can check out the JEE Main DPP 13 December  2024 daily practice problems for 2025 aspirants from the Chemistry section: 

Question 1: Using the rules for significant figures, the correct answer for the expression (0.02858*0.112)/ 0.5702 will be 

(A) 0.005613

(B) 0.00561

(C) 0.0056

 (D) 0.006

Answer (B)

Question 2: Consider the species CH4 ,NH4+ and BH4- Choose the correct option with respect to these species.

(A) They are isoelectronic and only two have tetrahedral structures

(B)  They are isoelectronic and all have tetrahedral structures.

(C)  Only two are isoelectronic and all have tetrahedral structures.

(D)  Only two are isoelectronic and only two have tetrahedral structures.

Answer (B)

Question 3: 4.0 moles of argon and 5.0 moles of PCl5 are introduced into an evacuated flask of 100 litre capacity at 610 K. The system is allowed to equilibrate. At equilibrium, the total pressure of the mixture was found to be 6.0 atm. The Kp for the reaction is [Given : R = 0.082 L atm K–1 mol–1]

(A) 2.25                     

(B) 6.24

(C) 12.13                   

(D) 15.24

Answer (A)

Question 4:  A 42.12% (w, v) solution of NaCl causes precipitation of a certain sol in 10 hours. The coagulating value of NaCl for the sol is

[Given : Molar mass : Na = 23.0 g mol–1; Cl = 35.5 g mol–1]

(A) 36 mmol L–1             

(B) 36 mol L–1

(C) 1440 mol L–1            

(D) 1440 mmol L–1

Answer (D)

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

Assertion A: The first ionization enthalpy for oxygen is lower than that of nitrogen.

Reason R: The four electrons in 2p orbitals of oxygen experience more electron-electron repulsion.

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

(A) Both A and R are correct and R is the correct explanation of A

(B) Both A and R are correct but R is NOT the correct explanation of A

(C) A is correct but R is not correct

(D) A is not correct but R is correct

Answer (B)

JEE Main DPP 13 December 2024: Mathematics

Candidates can check out the JEE Main DPP 13 December 2024 daily practice problems for 2025 aspirants from Maths section: 

Problem 1: The number of real roots of the equation e4x + 2e3x – ex – 6 = 0 is

(1) 1

(2) 2

(3) 4

(4) 0

Solution (1)

Problem 2: The line 12xcosq + 5ysinq = 60 is tangent to which of the following curves?

(1) 25x2 + 12y2 = 3600

(2) 144x2 + 25y2 = 3600

(3) x2 + y2 = 169

(4) x2 + y2 = 60

Solution (2)

Problem 3: cosec18° is a root of the equation

(1) x2 – 2x + 4 = 0

(2) x2 + 2x – 4 = 0

(3) x2 – 2x – 4 = 0

(4) 4x2 + 2x – 1 = 0

Solution (3)

Problem 4: Three numbers are in an increasing geometric progression with common ratio r. If the middle number is doubled, then the new numbers are in an arithmetic progression with common difference d. If the fourth term of GP is 3r2, then r2 – d is equal to

(1) 7-7(3)^½

(2) 7+(3)^½

(3) 7-(3)^½       

(4) 7+3(3)^½

Solution (2)

Problem 5: If the following system of linear equations

2x + y + z = 5 

x – y + z = 3 

x + y + az = b

has no solution, then :

(1) a is equal to - 1/3 , b is not equal to 7/3 

(2) a is not equal to - 1/3 , b is equal to 7/3 

(3) a is equal to 1/3 , b is equal to 7/3 

(4) a is equal to 1/3 , b is not equal to 7/3 

Solution (4)

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