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#1171 Chemistry ALL
MCQ_SINGLE APPLY MEDIUM 2026 JEE Main 2026 (Online) 21st January Morning Shift
Competency 4 Marks
Consider the following reaction: $Ca+2HCl \rightarrow CaCl_2+H_2$. If 14g of calcium reacts with excess HCl, choose the incorrect option.
(A) Mass of $CaCl_2$ produced is 38.85 g
(B) Moles of $H_2$ produced is 0.35 mol
(C) Volume of $H_2$ produced at STP is 7.84 L
(D) Mass of $CaCl_2$ produced is 3.885 g
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#1170 Chemistry ALL
MCQ_SINGLE APPLY HARD 2026 JEE Main 2026 (Online) 21st January Morning Shift
Competency 4 Marks
80 mL of an organic compound is mixed with 264 mL of $O_{2}$ and ignited. It gives 224 mL of gaseous mixture at NTP. After passing through KOH, 64 mL of gas remains. The organic compound is:
(A) $C_{2}H_{4}$
(B) $C_{2}H_{2}$
(C) $C_{4}H_{10}$
(D) $C_{3}H_{6}$
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#1169 Physics ALL
MCQ_SINGLE APPLY MEDIUM 2026 JEE Main 2026 (Online) 21st January Morning Shift
Competency 4 Marks
If the electric field of an EM wave is given by $60[\sin(3\times10^{14}t)+\sin(12\times10^{14}t)]$ at $x=0$ and it falls on a photosensitive material having work function $2.8 eV$, find the maximum kinetic energy (in eV) of the ejected electrons.
(A) $2.52 eV$
(B) $2.16 eV$
(C) $2.00 eV$
(D) $2.34 eV$
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#1168 Physics ALL
MCQ_SINGLE APPLY MEDIUM 2026 JEE Main 2026 (Online) 21st January Morning Shift
Competency 4 Marks
Find the moment of inertia of the system formed using two identical rods about the given axis of rotation as shown in the figure. Each rod has mass M and length L.
(A) $\frac{17}{12}ML^{2}$
(B) $\frac{13}{12}ML^{2}$
(C) $\frac{2}{3}ML^{2}$
(D) $\frac{3}{4}ML^{2}$
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#1167 Mathematics ALL › one › two
NUMERICAL APPLY HARD 2026 JEE Main 2026 (Online) 21st January Morning Shift
Competency 4 Marks
If $x^{2}+x+1=0$ then evaluate $(x+\frac{1}{x})^{4}+(x^{2}+\frac{1}{x^{2}})^{4}+...+(x^{25}+\frac{1}{x^{25}})^{4}$
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#1166 Chemistry ALL
MCQ_SINGLE APPLY MEDIUM 2026 JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE 4 Marks
In the following reaction, $MnO4^{2-} \xrightarrow{H^{+}}$ ?. Manganate ion undergoes disproportionation to form:
(A) $MnO_2, MnO_4^-$
(B) $MnO_4^-, MnO_2$
(C) $MnO_2, MnO$
(D) $MnO_4^-, MnO$
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#1165 Chemistry ALL
MCQ_SINGLE APPLY MEDIUM 2026 JEE Main 2026 (Online) 21st January Morning Shift
Competency 4 Marks
Observe the following reaction sequence: $(P)\xrightarrow{NH_{3}, \Delta}(Q)\xrightarrow{Br_{2}/KOH}(R)$. Which of the following is the correct structure for P, Q and R? (Refer to image)
(A) Option 1
(B) Option 2
(C) Option 3
(D) Option 4
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#1164 Physics ALL
MCQ_SINGLE APPLY MEDIUM 2026 JEE Main 2026 (Online) 21st January Morning Shift
Competency 4 Marks
An air-filled capacitor of capacitance $C$ is filled with a dielectric $(k=3)$ of width $\frac{d}{3}$, where $d$ is the separation between the plates. The new capacitance is:
(A) $C$
(B) $\frac{9}{7}C$
(C) $\frac{12}{7}C$
(D) $\frac{3}{7}C$
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#1163 Physics ALL
MCQ_SINGLE APPLY MEDIUM 2026 JEE Main 2026 (Online) 21st January Morning Shift
Competency 4 Marks
An $\alpha$-particle having kinetic energy $7.7 MeV$ is approaching a fixed gold nucleus (atomic number $Z=79$). Find the distance of closest approach. (Duplicate Question)
(A) $1.72 nm$
(B) $6.2 nm$
(C) $16.8 nm$
(D) $0.2 nm$
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#1162 Mathematics ALL › one › two
MCQ_SINGLE APPLY HARD 2026 JEE Main 2026 (Online) 21st January Morning Shift
Competency 4 Marks
If O is the vertex of the parabola $x^{2}=4y$, Q is a point on the parabola. If C is the locus of a point which divides OQ in the ratio 2:3, then the equation of the chord of C which is bisected at the point (1,2) is:
(A) $5x+4y+3=0$
(B) $5x-4y-3=0$
(C) $5x-4y+3=0$
(D) $5x+4y-3=0$
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#1161 Physics ALL
MCQ_SINGLE APPLY HARD 2026 JEE Main 2026 (Online) 21st January Morning Shift
Competency 4 Marks
An $\alpha$-particle having kinetic energy $7.7 MeV$ is approaching a fixed gold nucleus (atomic number $Z=79$). Find the distance of closest approach.
(A) $1.72 nm$
(B) $6.2 nm$
(C) $16.8 nm$
(D) $0.2 nm$
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#1160 Mathematics ALL › one › two
MCQ_SINGLE APPLY HARD 2026 JEE Main 2026 (Online) 21st January Morning Shift
Competency 4 Marks
If $a_{1}, a_{2}, a_3,...$ are in increasing geometric progression such that $a_{1}+a_{3}+a_{5}=21$ and $a_{1}a_{3}a_{5}=64$, then $a_{1}+a_{2}+a_{3}$ is:
(A) $5$
(B) $7$
(C) $10$
(D) $15$
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#1159 Mathematics ALL › one › two
MCQ_SINGLE APPLY HARD 2026 JEE Main 2026 (Online) 21st January Morning Shift
Competency 4 Marks
The locus of the point of intersection of tangents drawn to the circle $(x-2)^{2}+(y-3)^{2}=16$ which subtends an angle of $120^{\circ}$ is:
(A) $3x^{2}+3y^{2}-12x-18y-25=0$
(B) $x^{2}+y^{2}-12x-18y-25=0$
(C) $3x^{2}+3y^{2}+12x+18y-25=0$
(D) $x^{2}+y^{2}+12x+18y-25=0$
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#1158 Chemistry ALL
NUMERICAL APPLY HARD 2026 JEE Main 2026 (Online) 21st January Morning Shift
Competency 4 Marks
Benzene undergoes the following sequence of reactions (see figure). Find the percentage of nitrogen in compound (E).
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#1157 Physics ALL
MCQ_SINGLE APPLY HARD 2026 JEE Main 2026 (Online) 21st January Morning Shift
Competency 4 Marks
Find the heat produced in the external circuit (AB) in one second (refer to circuit diagram).
(A) $1181.25 J$
(B) $1311.25 J$
(C) $1207.50 J$
(D) $1410.50 J$
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#1156 Mathematics ALL › one › two
MCQ_SINGLE APPLY MEDIUM 2026 JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE 4 Marks
Consider a set $S=\{a,b,c,d\}$. Then the number of reflexive as well as symmetric relations from $S\rightarrow S$ is:
(A) $1024$
(B) $256$
(C) $16$
(D) $64$
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#1155 Chemistry ALL
MCQ_SINGLE APPLY MEDIUM 2026 JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE 4 Marks
Given below are two statements: Statement I: Arginine and Tryptophan are essential amino acids. Statement II: Glycine does not have any chiral carbon.
(A) Both statement-I and statement-II are correct
(B) Both statement-I and statement-II are incorrect
(C) Statement-I is correct and statement-II is incorrect
(D) Statement-I is incorrect and statement-II is correct
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#1154 Mathematics ALL › one › two
MCQ_SINGLE REMEMBER EASY 2026 JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE 4 Marks
If $L_{1}$ and $L_{2}$ are two parallel lines and $\triangle ABC$ is an equilateral triangle as shown in the figure, then the area of triangle ABC is:
(A) $7\sqrt{3}$
(B) $4\sqrt{3}$
(C) $21\sqrt{3}$
(D) $84$
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#1153 Physics ALL
MCQ_SINGLE APPLY HARD 2026 JEE Main 2026 (Online) 21st January Morning Shift
Competency 4 Marks
Find dimensions of $\frac{A}{B}$ if $(P+\frac{A^{2}}{B})+\frac{1}{2}\rho V^{2}=$ constant, where $P\rightarrow$ pressure, $\rho\rightarrow$ density, $V$ speed.
(A) $ML^{1}T^{-4}$
(B) $ML^{-1}T^{-4}$
(C) $ML^{2}T^{-4}$
(D) $ML^{-1}T^{-2}$
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#1152 Chemistry ALL
MCQ_SINGLE APPLY MEDIUM 2026 JEE Main 2026 (Online) 21st January Morning Shift
KNOWLEDGE 4 Marks
Which of the following is the correct order with respect to the property indicated?
(A) $Cl>F$ (Ionisation energy)
(B) $K_{2}O>Na_{2}O>Al_{2}O_{3}$ (Basic nature)
(C) $K>Na>Al>Mg$ (Metallic character)
(D) None of these
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