Bihar Board 11th Question Paper 2023 PDF

The Bihar Board 11th Question Paper for 2023 covers a wide range of subjects, each with important questions that help students prepare for exams. It includes questions from all subjects like Mathematics, Physics, Chemistry, Biology, English, Hindi, and Social Science, with clear and concise answers for better understanding and revision. The following sections provide detailed question-and-answer formats for each subject.

Mathematics

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

Answer: The area of a circle is given by the formula: A = πr², where r is the radius of the circle.

Question: Solve the quadratic equation: x² – 5x + 6 = 0.

Answer: The solutions are x = 2 and x = 3.

Question: What is the derivative of sin(x)?

Answer: The derivative of sin(x) is cos(x).

Question: Find the integral of 1/x with respect to x.

Answer: The integral of 1/x is ln|x| + C.

Question: What is the sum of the first n natural numbers?

Answer: The sum of the first n natural numbers is S = n(n + 1)/2.

Question: Calculate the value of sin(30°).

Answer: The value of sin(30°) is 1/2.

Question: Solve the equation 2x + 3 = 7 for x.

Answer: x = 2.

Question: What is the equation of a straight line in slope-intercept form?

Answer: The equation of a straight line is y = mx + c.

Question: Find the roots of the equation x² – 4x + 4 = 0.

Answer: The roots are x = 2 (repeated root).

Question: What is the Pythagorean theorem?

Answer: In a right-angled triangle, a² + b² = c², where c is the hypotenuse.

Question: Solve: 3x + 2y = 5 and x – y = 1.

Answer: x = 1, y = 0.

Question: What is the value of cos(90°)?

Answer: The value of cos(90°) is 0.

Question: Define a matrix.

Answer: A matrix is a rectangular array of numbers arranged in rows and columns.

Question: Find the determinant of a 2×2 matrix: [[1, 2], [3, 4]].

Answer: The determinant is (14 – 23) = -2.

Question: What is the mean of the numbers 2, 4, 6, 8, 10?

Answer: The mean is 6.

Question: Solve for x: 5x – 2 = 3x + 6.

Answer: x = 4.

Question: What is the value of tan(45°)?

Answer: The value of tan(45°) is 1.

Question: Define a scalar quantity.

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

Question: What is the value of π?

Answer: The value of π is approximately 3.1416.

Question: Simplify the expression: (x + 2)(x – 2).

Answer: The simplified expression is x² – 4.

Physics

Question: State Newton’s First Law of Motion.

Answer: Newton’s First Law states that an object will remain 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 velocity.

Answer: Velocity is the rate of change of displacement with respect to time.

Question: What is the formula for kinetic energy?

Answer: Kinetic energy is given by KE = 1/2 mv², where m is mass and v is velocity.

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

Answer: The speed of light in a vacuum is approximately 3.0 x 10⁸ m/s.

Question: Explain Ohm’s Law.

Answer: Ohm’s Law states that the current (I) through a conductor between two points is directly proportional to the voltage (V) across the two points, given by V = IR.

Question: Define work in terms of physics.

Answer: Work is the product of the force applied and the displacement in the direction of the force, W = Fd.

Question: What is the unit of electric charge?

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

Question: Define momentum.

Answer: Momentum is the product of an object’s mass and velocity, p = mv.

Question: What is the law of conservation of energy?

Answer: The law of conservation of energy states that energy cannot be created or destroyed, only transformed from one form to another.

Question: Calculate the gravitational force between two 1 kg masses separated by 1 meter.

Answer: The force is 6.67 x 10⁻¹¹ N.

Question: What is the formula for potential energy?

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

Question: Define power.

Answer: Power is the rate at which work is done, P = W/t.

Question: What is a photon?

Answer: A photon is a quantum of electromagnetic radiation.

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

Answer: The acceleration due to gravity is approximately 9.8 m/s².

Question: What is Hooke’s Law?

Answer: Hooke’s Law states that the force needed to extend or compress a spring by some distance is proportional to that distance, F = kx.

Question: Define heat.

Answer: Heat is a form of energy that is transferred between systems or objects with different temperatures.

Question: What is the unit of frequency?

Answer: The unit of frequency is the Hertz (Hz).

Question: What is the first law of thermodynamics?

Answer: The first law of thermodynamics states that the change in the internal energy of a system is equal to the heat added to the system minus the work done by the system.

Chemistry

Question: What is the atomic number of carbon?

Answer: The atomic number of carbon is 6.

Question: Define a covalent bond.

Answer: A covalent bond is a chemical bond formed by the sharing of electron pairs between atoms.

Question: What is the chemical formula of water?

Answer: The chemical formula of water is H₂O.

Question: What is an acid?

Answer: An acid is a substance that donates protons (H⁺ ions) in a chemical reaction.

Question: What is the pH scale?

Answer: The pH scale measures how acidic or basic a substance is, ranging from 0 to 14.

Question: Define oxidation.

Answer: Oxidation is the process in which an atom loses electrons.

Question: What is Avogadro’s number?

Answer: Avogadro’s number is 6.022 x 10²³, representing the number of particles in one mole of a substance.

Question: What is the periodic table?

Answer: The periodic table is a tabular arrangement of chemical elements, ordered by increasing atomic number.

Question: Define an isotope.

Answer: An isotope is an atom of the same element with a different number of neutrons.

Question: What is the molecular formula of glucose?

Answer: The molecular formula of glucose is C₆H₁₂O₆.

Question: Define a base.

Answer: A base is a substance that accepts protons (H⁺ ions) or donates electrons.

Question: What is the process of electrolysis?

Answer: Electrolysis is the process of using electrical energy to drive a non-spontaneous chemical reaction.

Question: What is a catalyst?

Answer: A catalyst is a substance that speeds up a chemical reaction without being consumed.

Question: What is the molar mass of sodium chloride (NaCl)?

Answer: The molar mass of sodium chloride is 58.44 g/mol.

Question: What is the law of conservation of mass?

Answer: The law of conservation of mass states that mass is neither created nor destroyed in a chemical reaction.

Question: Define a chemical reaction.

Answer: A chemical reaction is a process in which substances react to form new products.

Question: What is a solution?

Answer: A solution is a homogeneous mixture of two or more substances.

Question: What is the boiling point of water?

Answer: The boiling point of water is 100°C (212°F) at standard atmospheric pressure.

Question: What is a noble gas?

Answer: A noble gas is an inert element found in Group 18 of the periodic table.

Question: Define a salt in chemistry.

Answer: A salt is a compound formed by the neutralization reaction of an acid and a base.

Biology

Question: What is the basic unit of life?

Answer: The cell is the basic unit of life.

Question: Define photosynthesis.

Answer: Photosynthesis is the process by which plants convert light energy into chemical energy, producing glucose and oxygen.

Question: What is the function of the mitochondria?

Answer: Mitochondria are the powerhouses of the cell, generating energy in the form of ATP.

Question: What is the structure of DNA?

Answer: DNA has a double-helix structure consisting of nucleotide pairs.

Question: Define osmosis.

Answer: Osmosis is the movement of water molecules across a semi-permeable membrane from a region of low solute concentration to high solute concentration.

Question: What is the function of the heart?

Answer: The heart pumps blood throughout the body, supplying oxygen and nutrients to tissues.

Question: What is a gene?

Answer: A gene is a unit of heredity that is transferred from parent to offspring, determining some characteristics of the offspring.

Question: Define ecosystem.

Answer: An ecosystem is a community of living organisms interacting with each other and their physical environment.

Question: What is the process of cell division?

Answer: Cell division is the process by which a cell divides to form two daughter cells, either through mitosis or meiosis.

Question: What are enzymes?

Answer: Enzymes are biological catalysts that speed up chemical reactions in living organisms.

Question: What is the human genome?

Answer: The human genome is the complete set of genetic material in a human cell.

Question: Define a hormone.

Answer: A hormone is a chemical messenger produced by glands that regulate various functions in the body.

Question: What is the role of chlorophyll in plants?

Answer: Chlorophyll absorbs light energy for use in photosynthesis.

Question: Define respiration.

Answer: Respiration is the process by which living organisms convert glucose into energy.

Question: What is the function of red blood cells?

Answer: Red blood cells transport oxygen from the lungs to the rest of the body.

Question: Define biodiversity.

Answer: Biodiversity refers to the variety of life forms in a particular habitat or ecosystem.

Question: What is the structure of a virus?

Answer: A virus consists of genetic material (DNA or RNA) surrounded by a protein coat.

Question: What is genetic mutation?

Answer: A genetic mutation is a change in the DNA sequence that can lead to alterations in protein function.

Question: What is the role of the liver in the human body?

Answer: The liver detoxifies harmful substances, produces bile, and helps in metabolism.

Question: What is the main difference between a plant and an animal cell?

Answer: A plant cell has a cell wall and chloroplasts, while an animal cell does not.