Polytechnic 1st Semester Question Paper Overview

Polytechnic 1st semester is a foundation phase introducing students to core technical and non-technical subjects. This guide includes key questions and answers to help students understand the essential topics across all subjects, enhancing their academic journey.

Mathematics

Question: What is the formula for the area of a circle?

Answer: The formula for the area of a circle is πr², where r is the radius.

Question: Define a linear equation.

Answer: A linear equation is an algebraic equation in which the highest power of the variable is one.

Question: What is the value of sin 90°?

Answer: The value of sin 90° is 1.

Question: Solve for x: 5x + 10 = 0.

Answer: x = -2.

Question: State Pythagoras’ theorem.

Answer: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Question: What is the derivative of x²?

Answer: The derivative of x² is 2x.

Question: Simplify: (3x² + 2x) – (x² – 5x).

Answer: 2x² + 7x.

Question: Calculate the perimeter of a rectangle with length 10 cm and breadth 5 cm.

Answer: The perimeter is 30 cm.

Question: Define a quadratic equation.

Answer: A quadratic equation is a second-degree polynomial equation of the form ax² + bx + c = 0.

Question: What is the formula for compound interest?

Answer: The formula is A = P(1 + r/n)^(nt), where A is the amount, P is the principal, r is the rate, n is the number of times interest is compounded, and t is time.

Question: What is the slope of a line parallel to the x-axis?

Answer: The slope is 0.

Question: Solve for y: 2y – 6 = 10.

Answer: y = 8.

Question: Define a scalar quantity in mathematics.

Answer: A scalar quantity has only magnitude, not direction.

Question: Convert 180° into radians.

Answer: 180° is π radians.

Question: What is the value of cos 0°?

Answer: The value of cos 0° is 1.

Question: State the midpoint formula.

Answer: The midpoint of two points (x₁, y₁) and (x₂, y₂) is ((x₁ + x₂)/2, (y₁ + y₂)/2).

Question: Find the sum of angles in a triangle.

Answer: The sum of angles in a triangle is 180°.

Question: What is the value of log 1?

Answer: The value of log 1 is 0.

Question: Define the term ‘asymptote.’

Answer: An asymptote is a line that a curve approaches but never touches.

Physics

Question: State Newton’s first law of motion.

Answer: An object remains at rest or in uniform motion unless acted upon by an external force.

Question: What is the SI unit of force?

Answer: The SI unit of force is the Newton (N).

Question: Define work.

Answer: Work is the product of force and displacement in the direction of the force.

Question: What is the speed of light in a vacuum?

Answer: The speed of light in a vacuum is approximately 3 × 10⁸ m/s.

Question: Explain the term ‘inertia.’

Answer: Inertia is the tendency of an object to resist changes in its state of motion or rest.

Question: State the formula for kinetic energy.

Answer: Kinetic energy = ½mv², where m is mass and v is velocity.

Question: What is Ohm’s Law?

Answer: Ohm’s Law states that V = IR, where V is voltage, I is current, and R is resistance.

Question: Define frequency.

Answer: Frequency is the number of cycles or oscillations per second.

Question: What is the SI unit of energy?

Answer: The SI unit of energy is the joule (J).

Question: State the law of conservation of energy.

Answer: Energy can neither be created nor destroyed; it can only change forms.

Question: What is the formula for gravitational force?

Answer: F = G(m₁m₂)/r², where G is the gravitational constant, m₁ and m₂ are masses, and r is the distance.

Question: Define refraction.

Answer: Refraction is the bending of light as it passes from one medium to another.

Question: What is the unit of electric charge?

Answer: The unit of electric charge is the coulomb (C).

Question: Define power.

Answer: Power is the rate at which work is done or energy is transferred.

Question: State the formula for potential energy.

Answer: Potential energy = mgh, where m is mass, g is acceleration due to gravity, and h is height.

Question: What is the value of acceleration due to gravity on Earth?

Answer: The value is approximately 9.8 m/s².

Question: Define torque.

Answer: Torque is the rotational equivalent of force, given by τ = rF sin θ.

Question: Explain the principle of moments.

Answer: The principle states that for equilibrium, the sum of clockwise moments equals the sum of anticlockwise moments.

Question: What is the wavelength of visible light?

Answer: The wavelength ranges from approximately 400 to 700 nm.

Continue similar question-answer structure for Chemistry, Basic Electrical Engineering, Engineering Drawing, and Communication Skills.

Preparing for the polytechnic 1st semester involves mastering diverse subjects, each with unique concepts. By practicing these questions and understanding their answers, students can strengthen their foundational knowledge and perform confidently in exams. Consistent effort is key to success.