JEE Main 7 April 2025 Shift 1 Question Paper

Question 1

$\displaystyle\lim_{x	o0^+}\dfrac{	an\left(5(x)^{1/3}ight)\log_e(1+3x^2)}{\left(	an^{-1}3\sqrt{x}ight)^2\left(e^{5(x)^{4/3}}-1ight)}$ is equal to

Accepted Answer

(C) $\dfrac{1}{3}$

Answer

(A) $\dfrac{1}{15}$

Answer

(B) 1

Answer

(D) $\dfrac{5}{3}$

Question 2

If the shortest distance between the lines $\dfrac{x-1}{2}=\dfrac{y-2}{3}=\dfrac{z-3}{4}$ and $\dfrac{x}{1}=\dfrac{y}{\alpha}=\dfrac{z-5}{1}$ is $\dfrac{5}{\sqrt{6}}$, then the sum of all possible values of $\alpha$ is

Accepted Answer

(D) $-3$

Answer

(A) $\dfrac{3}{2}$

Answer

(B) $-\dfrac{3}{2}$

Answer

(C) 3

Question 3

Let $x=-1$ and $x=2$ be the critical points of the function $f(x)=x^3+ax^2+b\log_e|x|+1$, $x
e0$. Let $m$ and $M$ respectively be the absolute minimum and the absolute maximum values of $f$ in the interval $\left[-2,-\dfrac{1}{2}ight]$. Then $|M+m|$ is equal to (Take $\log_e2=0.7$):

Accepted Answer

(A) 21.1

Answer

(B) 19.8

Answer

(C) 22.1

Answer

(D) 20.9

Question 4

The remainder when $\left((64)^{(64)}\right)^{(64)}$ is divided by 7 is equal to

Accepted Answer

(B) 1

Answer

(A) 4

Answer

(C) 3

Answer

(D) 6

Question 5

Let P be the parabola, whose focus is $(-2,1)$ and directrix is $2x+y+2=0$. Then the sum of the ordinates of the points on P, whose abscissa is $-2$, is

Accepted Answer

(A) $\dfrac{3}{2}$

Answer

(B) $\dfrac{5}{2}$

Answer

(C) $\dfrac{1}{4}$

Answer

(D) $\dfrac{3}{4}$

Question 6

Let $y=y(x)$ be the solution curve of the differential equation $x(x^2+e^x)dy+(e^x(x-2)y-x^3)dx=0$, $x>0$, passing through the point $(1,0)$. Then $y(2)$ is equal to:

Accepted Answer

(D) $\dfrac{4}{4+e^2}$

Answer

(A) $\dfrac{4}{4-e^2}$

Answer

(B) $\dfrac{2}{2+e^2}$

Answer

(C) $\dfrac{2}{2-e^2}$

Question 7

From a group of 7 batsmen and 6 bowlers, 10 players are to be chosen for a team, which should include atleast 4 batsmen and atleast 4 bowlers. One batsmen and one bowler who are captain and vice-captain respectively of the team should be included. Then the total number of ways such a selection can be made, is

Accepted Answer

(B) 155

Answer

(A) 165

Answer

(C) 145

Answer

(D) 135

Question 8

If for $	heta\in\left[-\dfrac{\pi}{3},0ight]$, the points $(x,y)=\left(3	an\left(	heta+\dfrac{\pi}{3}ight),2	an\left(	heta+\dfrac{\pi}{6}ight)ight)$ lie on $xy+\alpha x+\beta y+\gamma=0$, then $\alpha^2+\beta^2+\gamma^2$ is equal to:

Accepted Answer

(D) 75

Answer

(A) 80

Answer

(B) 72

Answer

(C) 96

Question 9

Let $C_1$ be the circle in the third quadrant of radius 3, that touches both coordinate axes. Let $C_2$ be the circle with centre $(1,3)$ that touches $C_1$ externally at the point $(\alpha,\beta)$. If $(\beta-\alpha)^2=\dfrac{m}{n}$, $\gcd(m,n)=1$, then $m+n$ is equal to:

Accepted Answer

(C) 22

Answer

(A) 9

Answer

(B) 13

Answer

(D) 31

Question 10

The integral $\displaystyle\int_0^\pi\dfrac{(x+3)\sin x}{1+3\cos^2x}\,dx$ is equal to:

Accepted Answer

(C) $\dfrac{\pi}{3\sqrt{3}}(\pi+6)$

Answer

(A) $\dfrac{\pi}{\sqrt{3}}(\pi+1)$

Answer

(B) $\dfrac{\pi}{\sqrt{3}}(\pi+2)$

Answer

(D) $\dfrac{\pi}{2\sqrt{3}}(\pi+4)$

Question 11

Among the statements (S1): The set $\{z\in\mathbb{C}-\{-i\}:|z|=1$ and $\dfrac{z-i}{z+i}$ is purely real$\}$ contains exactly two elements, and (S2): The set $\{z\in\mathbb{C}-\{-1\}:|z|=1$ and $\dfrac{z-1}{z+1}$ is purely imaginary$\}$ contains infinitely many elements.

Accepted Answer

(C) only (S2) is correct

Answer

(A) both are incorrect

Answer

(B) only (S1) is correct

Answer

(D) both are correct

Question 12

The mean and standard deviation of 100 observations are 40 and 5.1, respectively. By mistake one observation is taken as 50 instead of 40. If the correct mean and the correct standard deviation are $\mu$ and $\sigma$ respectively, then $10(\mu+\sigma)$ is equal to

Accepted Answer

(D) 449

Answer

(A) 445

Answer

(B) 451

Answer

(C) 447

Question 13

Let $x_1,x_2,x_3,x_4$ be in a geometric progression. If 2, 7, 9, 5 are subtracted respectively from $x_1,x_2,x_3,x_4$ then the resulting numbers are in an arithmetic progression. Then the value of $\dfrac{1}{24}(x_1x_2x_3x_4)$ is:

Accepted Answer

(D) 216

Answer

(A) 72

Answer

(B) 18

Answer

(C) 36

Question 14

Let the set of all values of $p\in\mathbb{R}$, for which both the roots of the equation $x^2-(p+2)x+(2p+9)=0$ are negative real numbers, be the interval $(\alpha,\beta]$. Then $\beta-2\alpha$ is equal to:

Accepted Answer

(C) 5

Answer

(A) 0

Answer

(B) 9

Answer

(D) 20

Question 15

Let $A$ be a $3	imes3$ matrix such that $|	ext{adj}(	ext{adj}(	ext{adj}\,A))|=81$. If $S=\left\{n\in\mathbb{Z}:\left(|	ext{adj}(	ext{adj}\,A)|ight)^{(n-1)^2/2}=|A|^{(3n^2-5n-4)}ight\}$, then $\displaystyle\sum_{n\in S}\left|A^{(n^2+n)}ight|$ is equal to

Accepted Answer

(D) 732

Answer

(A) 866

Answer

(B) 750

Answer

(C) 820

Question 16

If the area of the region bounded by the curves $y=4-\dfrac{x^2}{4}$ and $y=\dfrac{x-4}{2}$ is equal to $\alpha$, then $6\alpha$ equals

Accepted Answer

(A) 250

Answer

(B) 210

Answer

(C) 240

Answer

(D) 220

Question 17

Let the system of equations $2x+3y+5z=9$, $7x+3y-2z=8$, $12x+3y-(4+\lambda)z=16-\mu$, have infinitely many solutions. Then the radius of the circle centred at $(\lambda,\mu)$ and touching the line $4x=3y$ is

Accepted Answer

(B) $\dfrac{7}{5}$

Answer

(A) $\dfrac{17}{5}$

Answer

(C) 7

Answer

(D) $\dfrac{21}{5}$

Question 18

Let the line L pass through $(1,1,1)$ and intersect the lines $\dfrac{x-1}{2}=\dfrac{y+1}{3}=\dfrac{z-1}{4}$ and $\dfrac{x-3}{1}=\dfrac{y-4}{2}=\dfrac{z-1}{1}$. Then, which of the following points lies on the line L?

Accepted Answer

(D) $(7,15,13)$

Answer

(A) $(4,22,7)$

Answer

(B) $(5,4,3)$

Answer

(C) $(10,-29,-50)$

Question 19

Let the angle $	heta$, $0<	heta<\dfrac{\pi}{2}$ between two unit vectors $\hat{a}$ and $\hat{b}$ be $\sin^{-1}\left(\dfrac{\sqrt{65}}{9}ight)$. If the vector $\vec{c}=3\hat{a}+6\hat{b}+9(\hat{a}	imes\hat{b})$, then the value of $9(\vec{c}\cdot\hat{a})-3(\vec{c}\cdot\hat{b})$ is

Accepted Answer

(C) 29

Answer

(A) 31

Answer

(B) 27

Answer

(D) 24

Question 20

Let ABC be the triangle such that the equations of lines AB and AC be $3y-x=2$ and $x+y=2$, respectively, and the points B and C lie on x-axis. If P is the orthocentre of the triangle ABC, then the area of the triangle PBC is equal to

Accepted Answer

(D) 6

Answer

(A) 4

Answer

(B) 10

Answer

(C) 8

Question 21

The number of points of discontinuity of the function $f(x)=\left[\dfrac{x^2}{2}\right]-\left[\sqrt{x}\right]$, $x\in[0,4]$, where $[\cdot]$ denotes the greatest integer function is ______.

Accepted Answer

8

Question 22

The number of relations on the set $A=\{1,2,3\}$ containing at most 6 elements including $(1,2)$, which are reflexive and transitive but not symmetric, is ______.

Accepted Answer

6

Question 23

Consider the hyperbola $\dfrac{x^2}{a^2}-\dfrac{y^2}{b^2}=1$ having one of its focus at $P(-3,0)$. If the latus rectum through its other focus subtends a right angle at $P$ and $a^2b^2=\alpha\sqrt{2}-\beta$, $\alpha,\beta\in\mathbb{N}$. Then $\alpha+\beta=$ ______.

Accepted Answer

1944

Question 24

The number of singular matrices of order 2, whose elements are from the set $\{2,3,6,9\}$ is ______.

Accepted Answer

36

Question 25

For $n\ge2$, let $S_n$ denote the set of all subsets of $\{1,2,\ldots,n\}$ with no two consecutive numbers. For example $\{1,3,5\}\in S_5$, but $\{1,2,4\}
otin S_5$. Then $n(S_5)$ is equal to ______.

Accepted Answer

13

Question 26

Two harmonic waves moving in the same direction superimpose to form a wave $x=a\cos(1.5t)\cos(50.5t)$ where $t$ is in seconds. Find the period with which they beat (close to nearest integer)

Accepted Answer

(D) 2 s

Answer

(A) 6 s

Answer

(B) 4 s

Answer

(C) 1 s

Question 27

Two plane polarized light waves combine at a certain point whose electric field components are $E_1=E_0\sin\omega t$, $E_2=E_0\sin\left(\omega t+\dfrac{\pi}{3}\right)$. Find the amplitude of the resultant wave.

Accepted Answer

(C) $1.7\,E_0$

Answer

(A) $0.9\,E_0$

Answer

(B) $E_0$

Answer

(D) $3.4\,E_0$

Question 28

A wire of resistance R is bent into a triangular pyramid as shown in figure with each segment having same length. The resistance between points A and B is $\dfrac{R}{n}$. The value of $n$ is:

Accepted Answer

(D) 12

Answer

(A) 16

Answer

(B) 14

Answer

(C) 10

Question 29

Uniform magnetic fields of different strengths ($B_1$ and $B_2$), both normal to the plane of the paper exist as shown in the figure. A charged particle of mass $m$ and charge $q$, at the interface at an instant, moves into the region 2 with velocity $v$ and returns to the interface. It continues to move into region 1 and finally reaches the interface. What is the displacement of the particle during this movement along the interface? (Consider the velocity of the particle to be normal to the magnetic field and $B_2>B_1$)

Accepted Answer

(D) $\dfrac{mv}{qB_1}\left(1-\dfrac{B_1}{B_2}ight)	imes2$

Answer

(A) $\dfrac{mv}{qB_1}\left(1-\dfrac{B_2}{B_1}ight)	imes2$

Answer

(B) $\dfrac{mv}{qB_1}\left(1-\dfrac{B_1}{B_2}\right)$

Answer

(C) $\dfrac{mv}{qB_1}\left(1-\dfrac{B_2}{B_1}\right)$

Question 30

If $\varepsilon_0$ denotes the permittivity of free space and $\Phi_E$ is the flux of the electric field through the area bounded by the closed surface, then dimension of $\left(\varepsilon_0\dfrac{d\Phi_E}{dt}\right)$ are that of:

Accepted Answer

(D) Electric current

Answer

(A) Electric field

Answer

(B) Electric potential

Answer

(C) Electric charge

Question 31

A rod of length 5L is bent right angle keeping one side length as 2L (as shown in the figure). The position of the centre of mass of the system: (Consider L = 10 cm)

Accepted Answer

(D) $4\hat{i}+9\hat{j}$

Answer

(A) $2\hat{i}+3\hat{j}$

Answer

(B) $3\hat{i}+7\hat{j}$

Answer

(C) $5\hat{i}+8\hat{j}$

Question 32

The percentage increase in magnetic field (B) when space within a current carrying solenoid is filled with magnesium (magnetic susceptibility $\chi_{mg}=1.2	imes10^{-5}$) is:

Accepted Answer

(A) $\dfrac{6}{5}	imes10^{-3}$%

Answer

(B) $\dfrac{5}{6}	imes10^{-5}$%

Answer

(C) $\dfrac{5}{6}	imes10^{-4}$%

Answer

(D) $\dfrac{5}{3}	imes10^{-5}$%

Question 33

A lens having refractive index 1.6 has focal length of 12 cm, when it is in air. Find the focal length of the lens when it is placed in water. (Take refractive index of water as 1.28)

Accepted Answer

(B) 288 mm

Answer

(A) 355 mm

Answer

(C) 555 mm

Answer

(D) 655 mm

Question 34

An ac current is represented as $i=5\sqrt{2}+10\cos\left(650\pi t+\dfrac{\pi}{6}\right)$ Amp. The r.m.s value of the current is

Accepted Answer

(C) 10 Amp

Answer

(A) 50 Amp

Answer

(B) 100 Amp

Answer

(D) $5\sqrt{2}$ Amp

Question 35

Two thin convex lenses of focal lengths 30 cm and 10 cm are placed coaxially, 10 cm apart. The power of this combination is:

Accepted Answer

(D) 10 D

Answer

(A) 5 D

Answer

(B) 1 D

Answer

(C) 20 D

Question 36

In the following circuit (shown in the figure), the reading of the ammeter will be (Take Zener breakdown voltage = 4 V)

Accepted Answer

(C) 10 mA

Answer

(A) 24 mA

Answer

(B) 80 mA

Answer

(D) 60 mA

Question 37

Two projectiles are fired from ground with same initial speeds from same point at angles $(45^\circ+\alpha)$ and $(45^\circ-\alpha)$ with horizontal direction. The ratio of their times of flights is

Accepted Answer

(D) $\dfrac{1+	an\alpha}{1-	an\alpha}$

Answer

(A) 1

Answer

(B) $\dfrac{1-	an\alpha}{1+	an\alpha}$

Answer

(C) $\dfrac{1+\sin2\alpha}{1-\sin2\alpha}$

Question 38

Match the List-I (type of gas) with List-II (ratio of specific heats $\dfrac{C_P}{C_V}$). Choose the correct answer from the options given below:

Accepted Answer

(A) A-III, B-IV, C-I, D-II

Answer

(B) A-III, B-II, C-IV, D-I

Answer

(C) A-II, B-IV, C-I, D-III

Answer

(D) A-IV, B-II, C-III, D-I

Question 39

A cubic block of mass $m$ is sliding down on an inclined plane at $60^\circ$ with an acceleration of $\dfrac{g}{2}$, the value of coefficient of kinetic friction is

Accepted Answer

(A) $\sqrt{3}-1$

Answer

(B) $\dfrac{\sqrt{3}}{2}$

Answer

(C) $\dfrac{\sqrt{2}}{3}$

Answer

(D) $1-\dfrac{\sqrt{3}}{2}$

Question 40

In a hydrogen like ion, the energy difference between the $2^{nd}$ excitation energy state and ground is 108.8 eV. The atomic number of the ion is

Accepted Answer

(D) 3

Answer

(A) 4

Answer

(B) 2

Answer

(C) 1

Question 41

For a hydrogen atom, the ratio of the largest wavelength of Lyman series to that of the Balmer series is.

Accepted Answer

(B) $5:27$

Answer

(A) $5:36$

Answer

(C) $3:4$

Answer

(D) $27:5$

Question 42

A particle of charge $q$, mass $m$ and kinetic energy $E$ enters in magnetic field perpendicular to its velocity and undergoes a circular arc of radius $r$. Which of the following curves (shown in the figure) represents the variation of $r$ with $E$?

Accepted Answer

(D) (4)

Answer

(A) (1)

Answer

(B) (2)

Answer

(C) (3)

Question 43

An object of mass 1000 g experiences a time dependent force $\vec{F}=(2t\hat{i}+3t^2\hat{j})$ N. The power generated by the force at time $t$ is:

Accepted Answer

(D) $(2t^3+3t^5)$ W

Answer

(A) $(2t^2+3t^3)$ W

Answer

(B) $(2t^2+18t^3)$ W

Answer

(C) $(3t^3+5t^5)$ W

Question 44

Two wires A and B are made of same material having ratio of lengths $\dfrac{L_A}{L_B}=\dfrac{1}{3}$ and their diameters ratio $\dfrac{d_A}{d_B}=2$. If both the wires are stretched using same force, what would be the ratio of their respective elongations?

Accepted Answer

(B) $1:12$

Answer

(A) $1:6$

Answer

(C) $3:4$

Answer

(D) $1:3$

Question 45

Two charges $q_1$ and $q_2$ are separated by a distance of 30 cm. A third charge $q_3$ initially at C as shown in the figure, is moved along the circular path of radius 40 cm from C to D. If the difference in potential energy due to movement of $q_3$ from C to D is given by $\dfrac{q_3K}{4\pi\varepsilon_0}$, the value of K is:

Accepted Answer

(A) $8q_2$

Answer

(B) $6q_2$

Answer

(C) $8q_1$

Answer

(D) $6q_1$

Question 46

A, B and C are disc, solid sphere and spherical shell respectively with same radii and masses. These masses are placed as shown in the figure. The moment of inertia of the given system about PQ is $\dfrac{x}{15}I$, where $I$ is the moment of inertia of the disc about its diameter. The value of $x$ is ______.

Accepted Answer

199

Question 47

For ac circuit shown in figure, R = 100 k$\Omega$ and C = 100 pF and the phase difference between $V_{in}$ and $(V_B-V_A)$ is $90^\circ$. The input signal frequency is $10^x$ rad/sec, where $x$ is ______.

Accepted Answer

5

Question 48

A container contains a liquid with refractive index 1.2 up to a height of 60 cm and another liquid having refractive index 1.6 is added to height H above first liquid. If viewed from above, the apparent shift in the position of bottom of container is 40 cm. The value of H is ______ cm. (Consider liquids are immiscible)

Accepted Answer

80

Question 49

A wire of length 10 cm and diameter 0.5 mm is used in a bulb. The temperature of the wire is $1727^\circ$C and power radiated by the wire is 94.2 W. Its emissivity is $\dfrac{x}{8}$ where $x=$ ______. (Given $\sigma=6.0	imes10^{-8}$ W m$^{-2}$ K$^{-4}$, $\pi=3.14$ and assume that the emissivity of wire material is same at all wavelength.)

Accepted Answer

5

Question 50

An ideal gas has undergone through the cyclic process as shown in the figure. Work done by the gas in the entire cycle is ______ $	imes10^{-1}$ J. (Take $\pi=3.14$)

Accepted Answer

314

Question 51

Given below are two statements:
Statement I: Ozonolysis followed by treatment with Zn, H$_2$O of cis-2-butene gives ethanal.
Statement II: The production obtained by ozonolysis followed by treatment with Zn, H$_2$O of 3,6-dimethyloct-4-ene has no chiral carbon atom.
In the light of the above statements, choose the correct answer from the options given below.

Accepted Answer

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

Answer

(A) Both Statement I and Statement II are true

Answer

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

Answer

(D) Both Statement I and Statement II are false

Question 52

Which of the following amine(s) show(s) positive carbylamines test? (A) $C_6H_5NH_2$ (aniline) (B) $(CH_3)_2NH$ (C) $CH_3NH_2$ (D) $(CH_3)_3N$ (E) $C_6H_5NHCH_3$ (N-methylaniline). Choose the correct answer from the options given below:

Accepted Answer

(C) A and C Only

Answer

(A) A and E Only

Answer

(B) C Only

Answer

(D) B, C and D Only

Question 53

Reaction $A(g)	o2B(g)+C(g)$ is a first order reaction. It was started with pure A. The pressure of the system is 160 mm Hg at $t=10$ min and 240 mm Hg at $t=\infty$. Which of the following option is incorrect?

Accepted Answer

(C) Rate constant of the reaction is 1.693 min$^{-1}$

Answer

(A) Initial pressure of A is 80 mm Hg

Answer

(B) The reaction never goes to completion

Answer

(D) Partial pressure of A after 10 minute is 40 mm Hg

Question 54

Total enthalpy change for freezing of 1 mol of water at $10^\circ$C to ice at $-10^\circ$C is ______. (Given: $\Delta_{fus}H=x$ kJ/mol, $C_p[H_2O(l)]=y$ J mol$^{-1}$ K$^{-1}$, $C_p[H_2O(s)]=z$ J mol$^{-1}$ K$^{-1}$)

Accepted Answer

(B) $-10(100x+y+z)$

Answer

(A) $-x-10y-10z$

Answer

(C) $10(100x+y+z)$

Answer

(D) $x-10y-10z$

Question 55

An aqueous solution of HCl with pH 1.0 is diluted by adding equal volume of water (ignoring dissociation of water). The pH of HCl solution would (Given $\log 2=0.30$)

Accepted Answer

(B) increase to 1.3

Answer

(A) reduce to 0.5

Answer

(C) remain same

Answer

(D) increase to 2

Question 56

Given below are two statements:
Statement I: Dimethyl ether is completely soluble in water. However, diethyl ether is soluble in water to a very small extent.
Statement II: Sodium metal can be used to dry diethyl ether and not ethyl alcohol. In the light of given statements, choose the correct answer from the options given below.

Accepted Answer

(D) Both Statement I and Statement II are true

Answer

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

Answer

(B) Both Statement I and Statement II are false

Answer

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

Question 57

For the visible spectrum (wavelength 400 nm to 750 nm), which of the following statements are correct, if the threshold frequency of caesium is $5.16	imes10^{14}$ Hz? A. When Cs is placed inside a vacuum chamber with an ammeter connected to it and yellow light is focused on Cs the ammeter shows the presence of current. B. When the brightness of the yellow light is dimmed, the value of the current in the ammeter is reduced. C. When a red light is used instead to the yellow light, the current produced is higher with respect to the yellow light. D. When a blue light is used, the ammeter shows the formation of current. E. When a white light is used, the ammeter shows formation of current. Choose the correct answer from the options given below:

Accepted Answer

(D) A, B, D and E Only

Answer

(A) A, D and E Only

Answer

(B) B, C and D Only

Answer

(C) A, C, D and E Only

Question 58

Which of the following is the correct IUPAC name of the given organic compound (X) shown in the figure?

Accepted Answer

(C) 1-Bromo-2-methylbut-2-ene

Answer

(A) 2-Bromo-2-methylbut-2-ene

Answer

(B) 3-Bromo-3-methylprop-2-ene

Answer

(D) 4-Bromo-3-methylbut-2-ene

Question 59

At the sea level, the dry air mass percentage composition is given as nitrogen gas: 70.0, oxygen gas: 27.0 and argon gas: 3.0. If total pressure is 1.15 atm, then calculate the ratio of followings respectively: (i) partial pressure of nitrogen gas to partial pressure of oxygen gas (ii) partial pressure of oxygen gas to partial pressure of argon gas (Given: Molar mass of N, O and Ar are 14, 16, and 40 g mol$^{-1}$ respectively)

Accepted Answer

(D) 2.96, 11.2

Answer

(A) 4.26, 19.3

Answer

(B) 2.59, 11.85

Answer

(C) 5.46, 17.8

Question 60

Given below are two statements:
Statement I: Mohr's salt is composed of only three types of ions-ferrous, ammonium and sulphate.
Statement II: If the molar conductance at infinite dilution of ferrous, ammonium and sulphate ions are $x_1$, $x_2$ and $x_3$ S cm$^2$ mol$^{-1}$, respectively then the molar conductance for Mohr's salt solution at infinite dilution would be given by $x_1+x_2+2x_3$. In the light of the given statements, choose the correct answer from the options given below:

Accepted Answer

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

Answer

(A) Both statements I and Statement II are false

Answer

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

Answer

(D) Both statements I and Statement II are true

Question 61

The number of valence electrons present in the metal among Cr, Co, Fe and Ni which has the lowest enthalpy of atomisation is

Accepted Answer

(C) 6

Answer

(A) 8

Answer

(B) 9

Answer

(D) 10

Question 62

When a salt is treated with sodium hydroxide solution it gives gas X. On passing the gas X through reagent Y a brown coloured precipitate is formed. X and Y respectively, are:

Accepted Answer

(B) X = NH$_3$ and Y = K$_2$HgI$_4$ + KOH

Answer

(A) X = NH$_3$ and Y = HgO

Answer

(C) X = NH$_4$Cl and Y = KOH

Answer

(D) X = HCl and Y = NH$_4$Cl

Question 63

The group 14 elements A and B have the first ionisation enthalpy values of 708 and 715 kJ mol$^{-1}$ respectively. The above values are lowest among their group members. The nature of their ions $A^{2+}$, $B^{4+}$ respectively is

Accepted Answer

(C) reducing and oxidising

Answer

(A) both reducing

Answer

(B) both oxidising

Answer

(D) oxidising and reducing

Question 64

The first transition series metal M has the highest enthalpy of atomisation in its series. One of its aquated ion ($M^{2+}$) exists in green colour. The nature of the oxide formed by the above $M^{2+}$ ion is:

Accepted Answer

(D) amphoteric

Answer

(A) neutral

Answer

(B) acidic

Answer

(C) basic

List-I (Type of gas)	List-II ($C_P/C_V$)
A.Triatomic rigid gas	I. $\dfrac{C_P}{C_V}=\dfrac{5}{3}$
B.Diatomic non-rigid gas	II. $\dfrac{C_P}{C_V}=\dfrac{7}{5}$
C.Monoatomic gas	III. $\dfrac{C_P}{C_V}=\dfrac{4}{3}$
D.Diatomic rigid gas	IV. $\dfrac{C_P}{C_V}=\dfrac{9}{7}$

List-I (Molecule/ion)	List-II (Bond pair : lone pair on the central atom)
A. $ICl_2^-$	I.4 : 2
B. $H_2O$	II.4 : 1
C. $SO_2$	III.2 : 3
D. $XeF_4$	IV.2 : 2

JEE Main 7 April 2025 Shift 1 Question Paper with Answers

Physics — JEE Main 7 April 2025 Shift 1

Chemistry — JEE Main 7 April 2025 Shift 1

Mathematics — JEE Main 7 April 2025 Shift 1

Chapters tested in this paper

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