MHT CET 2026 May 18 Shift 2 PCM Question Paper- Download PDF with Solutions

MHT CET 2026 May 18 Shift 2 PCM Question Paper is available for download here. Maharashtra State CET Cell conducted MHT CET 2026 PCM Exam on May 18 in Shift 2 from 2 PM to 5 PM in CBT mode.

The MHT CET 2026 PCM Question Paper consists of 150 multiple-choice questions (MCQs) totalling 200 marks divided into 3 sections: Physics, Chemistry, and Mathematics, with 50 questions in each subject.
Physics and Chemistry questions carry 1 mark each while Mathematics questions carry 2 marks each.
There is no negative marking for incorrect answers.

Download MHT CET 2026 May 18 Shift 2 PCM Question Paper with Solutions PDF from the links provided below.

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MHT CET 2026 May 18 Shift 2 PCM Question Paper PDF Download

MHT CET 2026 May 18 Shift 2 Question Paper	Download PDF	Check Solution

Question 1:

If $z$ be a complex number such that $ |z| + z = 2 + i $, then find the value of $ |z| $.

(1) $ \frac{1}{2} $
(2) $ \frac{3}{4} $
(3) $ \frac{5}{4} $
(4) $ 1 $

View Solution

Question 2:

If $ \vec{a} = 2\hat{i} + \hat{j} + 3\hat{k} $ and $ \vec{b} = p\hat{i} + 2\hat{j} + 2\hat{k} $ are perpendicular to each other, find the value of $p$.

(1) $4$
(2) $-4$
(3) $2$
(4) $-2$

View Solution

Question 3:

The solubility product of AgBr is $4.9 \times 10^{-13}$ at a certain temperature. Calculate the molar solubility of AgBr.

(1) $4 \times 10^{-6}\ mol dm^{-3}$
(2) $4 \times 10^{-7}\ mol dm^{-3}$
(3) $7 \times 10^{-7}\ mol dm^{-3}$
(4) $3 \times 10^{-8}\ mol dm^{-3}$

View Solution

Question 4:

Find the concentration of sodium acetate when added to $0.1\ M$ solution of acetic acid to form a buffer solution of $pH = 5.5$. (Given: $pK_a$ of $CH_3COOH = 4.5$)

(1) $0.1\ M$
(2) $0.01\ M$
(3) $1.0\ M$
(4) $None of these$

View Solution

Question 5:

Which of the following equations gives the combined relationship of Boyle's law and Charles's law?

(1) $ \frac{P_1V_2}{T_1} = \frac{P_2V_1}{T_2} $
(2) $ n = \frac{RT}{PV} $
(3) $ \frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2} $
(4) $ P = \frac{RT}{nV} $

View Solution

Question 6:

Which of the following forces is involved in dinitrogen?

(1) Dipole-dipole interaction
(2) Dipole-induced dipole interaction
(3) London dispersion force
(4) Hydrogen bonding

View Solution

Question 7:

Which of the following is a correct set of four quantum numbers for a 4d orbital?

(1) $ (4, 3, 2, 1/2) $
(2) $ (4, 2, 1, 1/2) $
(3) $ (4, 1, 2, 1/2) $
(4) None of these

View Solution

Question 8:

Which of the following mixtures of gases represent water gas?

(1) $CO + H_2$
(2) $CO_2 + H_2$
(3) $H_2O + CH_4$
(4) $H_2 + O_2$

View Solution

Question 9:

Which of the following electrolytic solutions of the same electrolyte has maximum electrolytic conductivity at the same temperature?

(1) 0.2 mole of solute is dissolved in 250 ml
(2) 0.3 mol in 600 ml
(3) 0.6 mol in 1000 ml
(4) 0.8 mole in 2000 ml

View Solution

Question 10:

In an isothermal expansion of an ideal gas, the heat supplied to the gas is:

(1) entirely used to increase internal energy
(2) entirely used to do work
(3) partly used to do work and partly to increase internal energy
(4) none of the above

View Solution

MHT CET PCM Exam Pattern 2026

Parameter	Details
Conducting Body	Maharashtra Common Entrance Test Cell (Maharashtra CET Cell)
Exam Mode	Online (Computer-Based Test)
Duration	180 minutes (3 hours)
Groups / Subjects	PCM (Physics, Chemistry, Mathematics) for Engineering
Total Questions	150
Total Marks	200
Question Type	Multiple Choice Questions (MCQs)
Marks Distribution	Mathematics – 2 marks/question Physics and Chemistry – 1 mark/question
Negative Marking	No
Syllabus Weightage	Class 12 – 80% Class 11 – 20%

MHT-CET 2026 Paper Analysis

MHT CET Questions

1.
The ratio of specific heats $C_{p}/C_{v}$ for a mixture of 1 mole of helium and 1 mole of hydrogen is:

1.5
1.67
1.4
1.33

View Solution

2.
What happens to the resistance of a wire if its radius is halved?

It becomes half
It becomes double
It increases 4 times
It increases 16 times

View Solution

3.
If \[ f(x)=\int \frac{x^2}{(1-x^2)(1+\sqrt{1-x^2})}\,dx \] and $ f(0)=2 $, then $ f\left(\frac12\right) $ is:

$2+\dfrac12\log 3-\dfrac{\sqrt3}{2}$
$2+\log 3-\sqrt3$
$2+\sqrt3-\log 3$
$2+\dfrac{\sqrt3}{2}-\dfrac12\log 3$

View Solution

4.
The rms velocity of hydrogen molecules at 27°C is v. At what temperature will the rms velocity of oxygen molecules equal v ?

4800 K
4527°C
1200 K
27°C

View Solution

5.
Which of the following electrolytic solutions of the same electrolyte has maximum electrolytic conductivity at the same temperature?

0.2 mole of solute is dissolved in 250 ml
0.3 mol in 600 ml
0.6 mol in 1000 ml
0.8 mole in 2000 ml

View Solution

6.
The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its centre and perpendicular to its length is:

$ML^2/3$
$ML^2/12$
$ML^2/6$
$ML^2/2$

View Solution

MHT CET 2026 May 18 Shift 2 PCM Question Paper- Download PDF with Solutions

MHT CET 2026 May 18 Shift 2 PCM Question Paper PDF Download

MHT CET PCM Exam Pattern 2026

MHT-CET 2026 Paper Analysis

MHT CET Questions

1.
The ratio of specific heats $C_{p}/C_{v}$ for a mixture of 1 mole of helium and 1 mole of hydrogen is:

2.
What happens to the resistance of a wire if its radius is halved?

3.
If \[ f(x)=\int \frac{x^2}{(1-x^2)(1+\sqrt{1-x^2})}\,dx \] and \( f(0)=2 \), then \( f\left(\frac12\right) \) is:

4.
The rms velocity of hydrogen molecules at 27°C is v. At what temperature will the rms velocity of oxygen molecules equal v ?

5.
Which of the following electrolytic solutions of the same electrolyte has maximum electrolytic conductivity at the same temperature?

6.
The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its centre and perpendicular to its length is:

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MHT CET 2026 May 18 Shift 2 PCM Question Paper PDF Download

MHT CET PCM Exam Pattern 2026

MHT-CET 2026 Paper Analysis

MHT CET Questions

1.The ratio of specific heats $C_{p}/C_{v}$ for a mixture of 1 mole of helium and 1 mole of hydrogen is:

2.What happens to the resistance of a wire if its radius is halved?

3.If \[ f(x)=\int \frac{x^2}{(1-x^2)(1+\sqrt{1-x^2})}\,dx \] and \( f(0)=2 \), then \( f\left(\frac12\right) \) is:

4.The rms velocity of hydrogen molecules at 27°C is v. At what temperature will the rms velocity of oxygen molecules equal v ?

5.Which of the following electrolytic solutions of the same electrolyte has maximum electrolytic conductivity at the same temperature?

6.The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its centre and perpendicular to its length is:

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
The ratio of specific heats $C_{p}/C_{v}$ for a mixture of 1 mole of helium and 1 mole of hydrogen is:

2.
What happens to the resistance of a wire if its radius is halved?

3.
If \[ f(x)=\int \frac{x^2}{(1-x^2)(1+\sqrt{1-x^2})}\,dx \] and \( f(0)=2 \), then \( f\left(\frac12\right) \) is:

4.
The rms velocity of hydrogen molecules at 27°C is v. At what temperature will the rms velocity of oxygen molecules equal v ?

5.
Which of the following electrolytic solutions of the same electrolyte has maximum electrolytic conductivity at the same temperature?

6.
The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its centre and perpendicular to its length is: