MHT CET 2024 9 May Shift 1 Question Paper (Available): Download PCM Question Paper with Answers PDF

Question 1:

The length of the perpendicular drawn from the point (1, 2, 3) to the line (X - 6)/3 = (Y - 7)/2 = (Z - 7)/-2 is:

Question 2:

If |a| = √3, |b| = 5, |b||c| = 10, the angle between b and c is π/3, and a is perpendicular to b × c, then the value of |a × (b × c)| is:

Question 3:

Let X be a random variable having binomial distribution B(7, p). If P(X = 3) = 5P(X = 4), then the sum of the mean and the variance of X is:

Question 4:

The particular solution of the differential equation e (dy/dx) = (x + 1), y(0) = 3, is:

Question 5:

The value of the integral ∫₀¹ √(1 - x)/√(1 + x) dx is:

Question 6:

The value of the integral ∫₀² |2x - 3| dx is:

Question 7:

If α + β = π/2 and β + γ = α, then the value of tanα is:

Question 8:

If the mean and variance of a Binomial variate X are 2 and 1 respectively, then the probability that X takes a value greater than 1 is:

Question 9:

The sides of a triangle are sin(α), cos(α), and sqrt(1 + sin(α)cos(α)) for some 0 < α < π/2. Then, the greatest angle of the triangle is:

Question 10:

If the curve y² = 6x and 9x² + by² = 16 intersect each other at right angles, then the value of b is:

Question 11:

The maximum value of log(x)/x is:

Physics

Question 1 :

Sphere of color black, red, white, and yellow are heated to the same temperature. The decreasing order of cooling is:

Question 2 :

The ratio of the shortest wavelength of the Balmer series to the shortest wavelength of the Paschen series is:

Question 3:

What are the gyromagnetic ratio and Bohr magneton?

Question 4:

Consider the following logic circuit. The circuit consists of three gates: an AND gate, an OR gate, and a NOT gate. The inputs to the AND gate are A = 1 and B = 0. The output of the AND gate is fed into the input of the OR gate, which has another input C = 1. The output of the OR gate is then passed through a NOT gate. What is the final output of the circuit?

Question 5:

From current electricity, to convert a galvanometer into an ammeter, a shunt is given. Find the resistance of the galvanometer.

Question 6:

What is the magnetic field produced inside a solenoid?

Question 7:

In a parallel combination of resistors, given the voltage, find the current flowing through the circuit.

Question 8:

A particle performs SHM, having a speed of 6 cm/sec at the mean position and an amplitude of 4 cm. Find the position of the particle from the mean position when its velocity is 2 cm/sec.

Chemistry

Question 1:

What is the rate law if the rate is directly proportional to [B]² and independent of [A]?

Question 2:

When ammoniacal silver nitrate reacts with organic compounds, this test is called:

Question 3:

How many unpaired electrons are present in the element of atomic number 27 with a +2 oxidation state?

Question 4:

A solution is prepared by dissolving 10 g of a non-volatile solute in 100 g of water. The freezing point depression of the solution is observed to be 1.5°C. Calculate the cryoscopic constant of the solvent.

Question 5:

Identify the name reaction for Swarts reaction and Witting reaction.

Question 6:

Which is an adiabatic process?

Question 7:

What is the IUPAC name and bond length of propan-1-ol and cyclobutane?

Question 8:

What is the reactivity of alkyl alcohols towards haloacids?

Question 9:

What is the result of ozonolysis of propene?

Question 10:

What is the ratio of abundance of chlorine isotopes with atomic masses 35 and 37?