NEET (UG) 2025 question paper

1. A.
   $\frac{d^2y}{dx^2} = \frac{\rho g}{S} x$
2. B.
   $\frac{d^2y}{dx^2} = \frac{\rho g}{S} y$
3. C.
   $\frac{d^2y}{dx^2} = \sqrt{\frac{\rho g}{S}}$
4. D.
   $\frac{dy}{dx} = \sqrt{\frac{\rho g}{S}} x$

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1. A.
   100
2. B.
   125
3. C.
   150
4. D.
   250

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1. A.
   $\vec{E}$ is perpendicular to $\vec{B}$ and its magnitude is $27 \times 10^4$ V m$^{-1}$
2. B.
   $\vec{E}$ is perpendicular to $\vec{B}$ and its magnitude is $27 \times 10^2$ V m$^{-1}$
3. C.
   $\vec{E}$ is parallel to $\vec{B}$ and its magnitude is $27 \times 10^2$ V m$^{-1}$
4. D.
   $\vec{E}$ is parallel to $\vec{B}$ and its magnitude is $27 \times 10^4$ V m$^{-1}$

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1. A.
   0.25
2. B.
   0.40
3. C.
   0.5
4. D.
   0.75

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1. A.
   $\frac{3}{2}$
2. B.
   $\frac{2}{3}$
3. C.
   $\frac{1}{3}$
4. D.
   $\frac{1}{2}$

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1. A.
   2.0 A
2. B.
   0.5 A
3. C.
   2.5 A
4. D.
   1.5 A

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1. A.
   $(\sin\theta)^{\frac{1}{2}}$
2. B.
   $\left(\frac{1}{2 + 3\sin\theta}\right)^{\frac{1}{2}}$
3. C.
   $\left(\frac{\cos\theta}{2 + 3\sin\theta}\right)^{\frac{1}{2}}$
4. D.
   $\left(\frac{\sin\theta}{2 + 3\sin\theta}\right)^{\frac{1}{2}}$

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1. A.
   AND
2. B.
   NAND
3. C.
   OR
4. D.
   NOR

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1. A.
   $B_y = 2 \times 10^{-7}\cos(5x + 1.5 \times 10^9 t)\,T$
2. B.
   $B_x = 2 \times 10^{-7}\cos(5x + 1.5 \times 10^9 t)\,T$
3. C.
   $B_z = 60\cos(5x + 1.5 \times 10^9 t)\,T$
4. D.
   $B_y = 60\sin(5x + 1.5 \times 10^9 t)\,T$

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1. A.
   21 NS
2. B.
   7 NS
3. C.
   0
4. D.
   84 NS

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1. A.
   5 volt
2. B.
   6 volt
3. C.
   9 volt
4. D.
   10 volt

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1. A.
   1 : 4
2. B.
   1 : 2
3. C.
   2 : 1
4. D.
   4 : 1

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1. A.
   $4p$ and $4m$
2. B.
   $p^4$ and $4m$
3. C.
   $4p$ and $m^4$
4. D.
   $p^4$ and $m^4$

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1. A.
   0.125 kg
2. B.
   0.144 kg
3. C.
   0.116 kg
4. D.
   0.156 kg

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1. A.
   $-\frac{2}{(x+2)^3}$
2. B.
   $-\frac{2}{(2x+1)^3}$
3. C.
   $+\frac{2}{(x+1)^3}$
4. D.
   $+\frac{2}{2x+1}$

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1. A.
   7.8 A and 30$^\circ$
2. B.
   7.8 A and 45$^\circ$
3. C.
   15.6 A and 30$^\circ$
4. D.
   15.6 A and 45$^\circ$

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1. A.
   100 days
2. B.
   105 days
3. C.
   115 days
4. D.
   108 days

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1. A.
   $\frac{he}{\pi m}$
2. B.
   $\frac{he}{2\pi m}$
3. C.
   $\frac{heB}{\pi m}$
4. D.
   $\frac{heB}{2\pi m}$

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1. A.
   $\frac{3}{2}$
2. B.
   $\frac{4}{3}$
3. C.
   $\frac{5}{3}$
4. D.
   $\frac{5}{4}$

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1. A.
   2.66
2. B.
   2.33
3. C.
   1.60
4. D.
   1.33

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1. A.
   9 min, 40 km/h
2. B.
   25 min, 100 km/h
3. C.
   10 min, 90 km/h
4. D.
   15 min, 120 km/h

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1. A.
   100 N
2. B.
   $100\sqrt{3}$ N
3. C.
   200 N
4. D.
   $200\sqrt{3}$ N

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1. A.
   $\omega(t)$ increasing, $A(t)$ constant
2. B.
   $\omega(t)$ increasing, $A(t)$ decreasing
3. C.
   $\omega(t)$ increasing, $A(t)$ increasing
4. D.
   $\omega(t)$ decreasing, $A(t)$ decreasing

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1. A.
   $a = \frac{1}{2}, \alpha = \frac{1}{2}, \beta = -1, \gamma = +1, \delta = \frac{3}{2}$
2. B.
   $a = -\frac{1}{2}, \alpha = -\frac{1}{2}, \beta = -1, \gamma = -\frac{1}{2}, \delta = \frac{5}{2}$
3. C.
   $a = -\frac{1}{2}, \alpha = -\frac{1}{2}, \beta = -1, \gamma = \frac{1}{2}, \delta = \frac{7}{2}$
4. D.
   $a = \frac{1}{2}, \alpha = \frac{1}{2}, \beta = -\frac{1}{2}, \gamma = \frac{1}{2}, \delta = \frac{7}{2}$

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1. A.
   5.18 cm
2. B.
   5.08 cm
3. C.
   4.98 cm
4. D.
   5.00 cm

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1. A.
   Zero at all places
2. B.
   Constant between the plates and zero outside the plates
3. C.
   Non-zero everywhere with maximum at the imaginary cylindrical surface connecting peripheries of the plates
4. D.
   Zero between the plates and non-zero outside

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1. A.
   Reflected light is completely polarized and the angle of reflection is close to 60$^\circ$
2. B.
   Reflected light is partially polarized and the angle of reflection is close to 30$^\circ$
3. C.
   Both reflected and transmitted light are perfectly polarized with angles of reflection and refraction close to 60$^\circ$ and 30$^\circ$, respectively
4. D.
   Transmitted light is completely polarized with angle of refraction close to 30$^\circ$

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1. A.
   $\frac{3F}{5}$
2. B.
   $\frac{2F}{3}$
3. C.
   $\frac{F}{2}$
4. D.
   $\frac{3F}{8}$

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1. A.
   1.3 atm
2. B.
   1.6 atm
3. C.
   1.4 atm
4. D.
   1.8 atm

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1. A.
   $r \propto n^{1/3};\ v \propto n^{1/3}$
2. B.
   $r \propto n^{1/3};\ v \propto n^{2/3}$
3. C.
   $r \propto n^{2/3};\ v \propto n^{1/3}$
4. D.
   $r \propto n^{4/3};\ v \propto n^{-1/3}$

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1. A.
   88 earth days
2. B.
   225 earth days
3. C.
   172 earth days
4. D.
   124 earth days

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1. A.
   16 N
2. B.
   27 N
3. C.
   32 N
4. D.
   36 N

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1. A.
   $\frac{R}{64}$
2. B.
   $\frac{R}{32}$
3. C.
   $\frac{R}{16}$
4. D.
   $\frac{R}{8}$

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1. A.
   0.067 nm
2. B.
   0.67 nm
3. C.
   1.67 nm
4. D.
   2.67 nm

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1. A.
   0.8 J
2. B.
   1.0 J
3. C.
   1.2 J
4. D.
   1.5 J

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1. A.
   1.5 A
2. B.
   2.0 A
3. C.
   2.5 A
4. D.
   3.0 A

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1. A.
   $\sqrt{\frac{E}{2m}}$
2. B.
   $c\sqrt{2mE}$
3. C.
   $c\sqrt{\frac{2m}{E}}$
4. D.
   $\frac{1}{c}\sqrt{\frac{E}{2m}}$

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1. A.
   A only
2. B.
   A and C
3. C.
   A and D
4. D.
   B and D

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1. A.
   $\frac{7}{8}$
2. B.
   $\frac{7}{40}$
3. C.
   $\frac{7}{57}$
4. D.
   $\frac{7}{64}$

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1. A.
   $D_1$ is forward biased, $D_2$ is reverse biased
2. B.
   $D_1$ is reverse biased, $D_2$ is forward biased
3. C.
   $D_1$ and $D_2$ both are forward biased
4. D.
   $D_1$ and $D_2$ both are reverse biased

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1. A.
   $\frac{4}{3}$
2. B.
   $\frac{3}{4}$
3. C.
   $\frac{2}{\sqrt{3}}$
4. D.
   $\frac{\sqrt{3}}{2}$

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1. A.
   10%
2. B.
   2%
3. C.
   13%
4. D.
   15%

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1. A.
   $\frac{I_0}{2}$
2. B.
   $\frac{I_0}{4}$
3. C.
   $\frac{I_0}{8}$
4. D.
   $\frac{I_0}{16}$

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1. A.
   $\frac{k_2}{k_1}$
2. B.
   $\frac{k_1}{k_2}$
3. C.
   $\sqrt{\frac{k_2}{k_1}}$
4. D.
   $\sqrt{\frac{k_1}{k_2}}$

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1. A.
   $\frac{f}{2}$
2. B.
   $f$
3. C.
   $\frac{3f}{2}$
4. D.
   $2f$

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1. A.
   $\dfrac{1}{36}$
2. B.
   $\dfrac{1}{16}$
3. C.
   $\dfrac{1}{9}$
4. D.
   $\dfrac{1}{4}$

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1. A.
   A, B, and E only
2. B.
   C and E only
3. C.
   C and D only
4. D.
   A, C, and E only

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1. A.
   A-III, B-IV, C-II, D-I
2. B.
   A-III, B-IV, C-I, D-II
3. C.
   A-III, B-II, C-IV, D-I
4. D.
   A-III, B-II, C-I, D-IV

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1. A.
   2-methylcyclopentane bearing a $\text{CH}_2\text{NH}_2$ group on the adjacent carbon (1-methyl-2-(aminomethyl)cyclopentane)
2. B.
   1-methyl-1-(aminomethyl)cyclopentane ($\text{CH}_3$ and $\text{CH}_2\text{NH}_2$ on the same carbon)
3. C.
   1-methyl-2-cyclopentanecarbonitrile ($\text{CH}_3$ and NC on adjacent carbons)
4. D.
   1-methyl-1-cyclopentanecarbonitrile (NC and $\text{CH}_3$ on the same carbon)

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1. A.
   $E_n(\text{Li}^{2+}) = -19.62 \times 10^{-18}$ J; $r_n(\text{Li}^{2+}) = 17.6$ pm; $E_n(\text{He}^{+}) = -8.72 \times 10^{-18}$ J; $r_n(\text{He}^{+}) = 26.4$ pm
2. B.
   $E_n(\text{Li}^{2+}) = -8.72 \times 10^{-18}$ J; $r_n(\text{Li}^{2+}) = 26.4$ pm; $E_n(\text{He}^{+}) = -19.62 \times 10^{-18}$ J; $r_n(\text{He}^{+}) = 17.6$ pm
3. C.
   $E_n(\text{Li}^{2+}) = -19.62 \times 10^{-16}$ J; $r_n(\text{Li}^{2+}) = 17.6$ pm; $E_n(\text{He}^{+}) = -8.72 \times 10^{-16}$ J; $r_n(\text{He}^{+}) = 26.4$ pm
4. D.
   $E_n(\text{Li}^{2+}) = -8.72 \times 10^{-16}$ J; $r_n(\text{Li}^{2+}) = 17.6$ pm; $E_n(\text{He}^{+}) = -19.62 \times 10^{-16}$ J; $r_n(\text{He}^{+}) = 17.6$ pm

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1. A.
   A and C only
2. B.
   B and E only
3. C.
   A and D only
4. D.
   A, D and E only

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1. A.
   Both Statement I and Statement II are correct
2. B.
   Both Statement I and Statement II are incorrect
3. C.
   Statement I is correct but Statement II is incorrect
4. D.
   Statement I is incorrect but Statement II is correct

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1. A.
   B and E only
2. B.
   A and C only
3. C.
   D and E only
4. D.
   A, C and D only

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1. A.
   Law of conservation of mass
2. B.
   Law of constant proportion
3. C.
   Law of multiple proportion
4. D.
   Law of gaseous volume

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1. A.
   +1, $-1$, and +6
2. B.
   +2, $-2$, and +6
3. C.
   +1, $-2$, and +4
4. D.
   +4, $-4$, and +6

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1. A.
   2 minutes
2. B.
   4 minutes
3. C.
   5 minutes
4. D.
   10 minutes

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1. A.
   B < D < A < C
2. B.
   B < A < D < C
3. C.
   C < D < A < B
4. D.
   C < A < D < B

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1. A.
   Pent-1-ene
2. B.
   2-Methylhex-2-ene
3. C.
   1,1-Dimethylcyclopropane
4. D.
   1,2-Dimethylcyclohexane

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1. A.
   A and B only
2. B.
   A and C only
3. C.
   B, C and D only
4. D.
   A, B and C only

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1. A.
   $\text{C}_6\text{H}_5\text{COONa}$ with sodalime, $\Delta$
2. B.
   n-hexane with $\text{Mo}_2\text{O}_3$ at 773 K, 10-20 atm
3. C.
   $\text{H-C}\equiv\text{C-H}$ through red hot iron tube at 873 K
4. D.
   Benzenediazonium chloride ($\text{C}_6\text{H}_5\text{N}_2^{+}\text{Cl}^{-}$) with $\text{H}_2\text{O}$, warm

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