JEE Main 28 January 2025 Shift 2 Question Paper with Answers
28 January 2025 · January session · 72 questions
72 of the 75 questions from the JEE Main 28 January 2025 Shift 2 paper, each with its correct answer and tagged to the chapter it tests. Free to read, no account needed.
3 questions are held back from this paper while we re-check the transcription or the answer key. We would rather show you nothing than show you an answer we are not confident is right.
A uniform magnetic field of 0.4 T acts perpendicular to a circular copper disc 20 cm in radius. The disc is having a uniform angular velocity of 10π rad s−1 about an axis through its centre and perpendicular to the disc. What is the potential difference developed between the axis of the disc and the rim? (π=3.14)
A parallel plate capacitor of capacitance 1 μF is charged to a potential difference of 20 V. The distance between plates is 1 μm. The energy density between plates of capacitor is:
In a long glass tube, mixture of two liquids A and B with refractive indices 1.3 and 1.4 respectively, forms a convex refractive meniscus towards A. If an object placed at 13 cm from the vertex of the meniscus in A forms an image with a magnification of '-2' then the radius of curvature of meniscus is:
The velocity-time graph of an object moving along a straight line is shown in figure. What is the distance covered by the object between t = 0 to t = 4s?
Earth has mass 8 times and radius 2 times that of a planet. If the escape velocity from the earth is 11.2 km/s, the escape velocity in km/s from the planet will be:
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Knowing initial position x0 and initial momentum p0 is enough to determine the position and momentum at any time t for a simple harmonic motion with a given angular frequency ω.
Reason (R): The amplitude and phase can be expressed in terms of x0 and p0.
In the light of the above statements, choose the correct answer from the options given below:
(A)Both (A) and (R) are true and (R) is NOT the correct explanation of (A)
(B)(A) is false but (R) is true
(C)(A) is true but (R) is false
(D)Both (A) and (R) are true and (R) is the correct explanation of (A)
A concave mirror produces an image of an object such that the distance between the object and image is 20 cm. If the magnification of the image is '-3', then the magnitude of the radius of curvature of the mirror is:
A body of mass 4 kg is placed on a plane at a point P having coordinate (3, 4) m. Under the action of force F=(2i^+3j^) N, it moves to a new point Q having coordinates (6, 10) m in 4 sec. The average power and instantaneous power at the end of 4 sec are in the ratio of:
An infinite wire has a circular bend of radius a, and carrying a current I as shown in figure. The magnitude of magnetic field at the origin O of the arc is given by:
A uniform rod of mass 250 g having length 100 cm is balanced on a sharp edge at 40 cm mark. A mass of 400 g is suspended at 10 cm mark. To maintain the balance of the rod, the mass to be suspended at 90 cm mark, is:
A 400 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water? (Given: density of water = 1000 kg m−3)
A balloon and its content having mass M is moving up with an acceleration 'a'. The mass that must be released from the content so that the balloon starts moving up with an acceleration '3a' will be: (Take 'g' as acceleration due to gravity)
A conducting bar moves on two conducting rails as shown in the figure. A constant magnetic field B exists into the page. The bar starts to move from the vertex at time t = 0 with a constant velocity. If the induced EMF is E∝tn, then value of n is ______.
An electric dipole of dipole moment 6×10−6 Cm is placed in uniform electric field of magnitude 106 V/m. Initially, the dipole moment is parallel to electric field. The work that needs to be done on the dipole to make its dipole moment opposite to the field, will be ______ J.
The volume contraction of a solid copper cube of edge length 10 cm, when subjected to a hydraulic pressure of 7×106 Pa, would be ______ mm3. (Given bulk modulus of copper = 1.4×1011 Nm−2)
A thin transparent film with refractive index 1.4, is held on circular ring of radius 1.8 cm. The fluid in the film evaporates such that transmission through the film at wavelength 560 nm goes to a minimum every 12 seconds. Assuming that the film is flat on its two sides, the rate of evaporation is ______ π×10−13 m3/s.
Consider the elementary reaction A(g) + B(g) → C(g) + D(g). If the volume of reaction mixture is suddenly reduced to 31 of its initial volume, the reaction rate will become 'x' times of the original reaction rate. The value of x is:
The amphoteric oxide among V2O3, V2O4 and V2O5 upon reaction with alkali leads to formation of an oxide anion. The oxidation state of V in the oxide anion is:
Identify correct conversion during acidic hydrolysis from the following: (A) starch gives galactose. (B) cane sugar gives equal amount of glucose and fructose. (C) milk sugar gives glucose and galactose. (D) amylopectin gives glucose and fructose. (E) amylose gives only glucose. Choose the correct answer from the options given below:
An ideal gas undergoes a cyclic transformation starting from the point A and coming back to the same point by tracing the path A → B → C → D → A as shown in the three cases above. Choose the correct option regarding ΔU.
The product B formed in the following reaction sequence is (4-methylstyrene, shown in figure) HCl (A)(Major) AgCN (B)(Major). Choose the correct structure of B from the options shown in the figure:
Concentrated nitric acid is labelled as 75% by mass. The volume in mL of the solution which contains 30 g of nitric acid is: (Given: Density of nitric acid solution is 1.25 g mL−1)
Given below are two statements: Statement (I): According to the Law of Octaves, the elements were arranged in the increasing order of their atomic number. Statement (II): Meyer observed a periodically repeated pattern upon plotting physical properties of certain elements against their respective atomic numbers. In the light of the above statements, choose the correct answer from the options given below:
For bacterial growth in a cell culture, growth law is very similar to the law of radioactive decay. Which of the following graphs is most suitable to represent bacterial colony growth?
Which of the following is/are not correct with respect to energy of atomic orbitals of hydrogen atom? (A) 1s<2p<3d<4s (B) 1s<2s=2p<3p (C) 1s<2s<2p<3p (D) 1s<2s<4s<3d. Choose the correct answer from the options given below:
Identify correct statements: (A) Primary amines do not give diazonium salts when reacted with NaNO2 in acidic condition. (B) Aliphatic and aromatic primary amines on heating with CHCl3 and ethanolic KOH form carbylamines. (C) Secondary and tertiary amines also give carbylamine reaction. (D) Benzenesulfonyl chloride is known as Hinsberg's reagent. (E) Tertiary amines reacts with benzenesulfonyl chloride easily. Choose the correct answer from the options given below:
Given below are two statements: Statement (I): the two compounds shown in the figure are isomeric compounds. Statement (II): the two amines shown in the figure are functional group isomers. In the light of the above statements, choose the correct answer from the options given below:
The spin only magnetic moment (μ) value (B.M.) of the compound with strongest oxidising power among Mn2O3, TiO and VO is ______ B.M. (Nearest integer).
Consider the following data: Heat of formation of CO2(g) = −393.5 kJ mol−1, Heat of formation of H2O(ℓ) = −286.0 kJ mol−1, Heat of combustion of benzene = −3267.0 kJ mol−1. The heat of formation of benzene is ______ kJ mol−1. (Nearest integer)
Electrolysis of 600 mL aqueous solution of NaCl for 5 min changes the pH of the solution to 12. The current in Amperes used for the given electrolysis is ______. (Nearest integer)
A group 15 element forms dπ-dπ bond with transition metals. It also forms hydride, which is a strongest base among the hydrides of other group members that form dπ-dπ bond. The atomic number of this element is ______.
Total number of molecules/species from following which will be paramagnetic is ______. O2, O2+, O2−, NO, NO2, CO, K2[NiCl4], [Co(NH3)6]Cl3, K2[Ni(CN)4]
Bag B1 contains 6 white and 4 blue balls, Bag B2 contains 4 white and 6 blue balls, and Bag B3 contains 5 white and 5 blue balls. One of the bags is selected at random and a ball is drawn from it. If the ball is white, then the probability, that the ball is drawn from Bag B2, is:
Let A, B, C be three points in xy-plane, whose position vector are given by 3i^+j^, i^+3j^ and ai^+(1−a)j^ respectively with respect to the origin O. If the distance of the point C from the point bisecting the angle between the vectors OA and OB is 29, then the sum of all the possible values of a is:
If the components of a=αi^+βj^+γk^ along and perpendicular to b=3i^+j^−k^ respectively, are 1116(3i^+j^−k^) and 111(−4i^−5j^−17k^), then α2+β2+γ2 is equal to:
Let S be the set of all the words that can be formed by arranging all the letters of the word GARDEN. From the set S, one word is selected at random. The probability that the selected word will NOT have vowels in alphabetical order is:
Let f be a real valued continuous function defined on the positive real axis such that g(x)=∫0xtf(t)dt. If g(x3)=x6+x7, then value of ∑r=115f(r3) is:
Let A=[210−21] and P=[cosθsinθ−sinθcosθ], θ>0. If B=PAPT, C=PTB10P and the sum of the diagonal elements of C is nm, where gcd(m,n)=1, then m+n is:
Let f:R→R be a twice differentiable function such that f(2)=1. If F(x)=xf(x) for all x∈R, ∫02xF′(x)dx=6 and ∫02x2F′′(x)dx=40, then F′(2)+∫02F(x)dx is equal to:
Let f:[0,3]→A be defined by f(x)=2x3−15x2+36x+7 and g:[0,∞)→B be defined by g(x)=x2025+1x2025. If both the functions are onto and S={x∈Z:x∈A or x∈B}, then n(S) is equal to:
Two equal sides of an isosceles triangle are along −x+2y=4 and x+y=4. If m is the slope of its third side, then the sum, of all possible distinct values of m, is:
Let the coefficients of three consecutive terms Tr, Tr+1 and Tr+2 in the binomial expansion of (a+b)12 be in a G.P. and let p be the number of all possible values of r. Let q be the sum of all rational terms in the binomial expansion of (43+34)12. Then p+q is equal to:
If A and B are the points of intersection of the circle x2+y2−8x=0 and the hyperbola 9x2−4y2=1 and a point P moves on the line 2x−3y+4=0, then the centroid of △PAB lies on the line:
Let f:R−{0}→(−∞,1) be a polynomial of degree 2, satisfying f(x)f(x1)=f(x)+f(x1). If f(K)=−2K, then the sum of squares of all possible values of K is:
The interior angles of a polygon with n sides, are in an A.P. with common difference 6∘. If the largest interior angle of the polygon is 219∘, then n is equal to ______.
Let A and B be the two points of intersection of the line y+5=0 and the mirror image of the parabola y2=4x with respect to the line x+y+4=0. If d denotes the distance between A and B, and a denotes the area of △SAB, where S is the focus of the parabola y2=4x, then the value of (a+d) is ______.
Take the 28 January 2025 Shift 2 paper as a timed mock and Jarvis marks it, then tells you which errors were conceptual gaps, which were silly mistakes, and which pattern you have now repeated. Step-by-step solutions for every question included.