**Osmania University
First Year B.Sc. Model Question Paper
Subject: Mathematics**
Instructions:
* The question paper consists of two parts: Part A and Part B.
* Part A contains multiple-choice questions. Each question carries 1 mark.
* Part B contains subjective questions. Each question carries 5 marks.
* Attempt all questions.
Part A: Multiple-Choice Questions (10 Marks)
1. Which of the following is not a real number?
a) 3/4
b) √-1
c) 0
d) π
2. What is the slope of a line that passes through the points (3, -4) and (-1, 6)?
a) -5/2
b) 5/2
c) 1/5
d) -1/5
3. Solve the equation 3x + 5 = 17 for x.
a) 2
b) 4
c) 6
d) 8
4. What is the area of a circle with radius r?
a) πr
b) πr2/4
c) 2πr2
d) 2πr
5. The volume of a cube with side length a is given by:
a) a3/3
b) a2
c) a3
d) a4/3
Part B: Subjective Questions (35 Marks)
1. Find the equation of the straight line that passes through the points (2, -1) and (3, 4).
2. Solve the quadratic equation 3x2 + 5x - 2 = 0.
3. Find the area of a rectangle with length 12 cm and width 8 cm.
4. Find the volume of a cylinder with radius 3 cm and height 6 cm.
5. Simplify the expression: (3x2y3) / (2xy).
6. Find the value of x for which the expression x2 - 4x + 3 is equal to 0.
7. Solve the inequality 3x + 5 > 14 for x.
**Osmania University
First Year B.Sc. Model Question Paper
Subject: Physics**
Instructions:
* The question paper consists of two parts: Part A and Part B.
* Part A contains multiple-choice questions. Each question carries 1 mark.
* Part B contains subjective questions. Each question carries 5 marks.
* Attempt all questions.
Part A: Multiple-Choice Questions (10 Marks)
1. Which of the following is not a unit of length?
a) meter
b) kilogram
c) inch
d) foot
2. What is the SI unit of temperature?
a) degree Celsius
b) degree Fahrenheit
c) Kelvin
d) Rankine
3. Which of the following is a law of motion?
a) Ohm's law
b) Newton's law of universal gravitation
c) Kepler's laws
d) Boyle's law
4. What is the force that opposes the motion of an object in a fluid?
a) gravity
b) friction
c) pressure
d) drag
5. Which of the following is not a type of wave?
a) mechanical wave
b) electromagnetic wave
c) longitudinal wave
d) transverse wave
Part B: Subjective Questions (35 Marks)
1. State Newton's first law of motion and give an example of it.
2. A ball is thrown vertically upward with a speed of 10 m/s from the top of a building 20 m high. Calculate the maximum height reached by the ball and the total time it takes to reach the ground.
3. Explain the working of a simple pendulum.
4. Derive the equation for the pressure exerted by a liquid.
5. Explain the difference between conductors and insulators.
6. Draw a labeled diagram of the human eye.
7. Explain the process of photosynthesis.