FYJC Physics First Semester Exam 2023-24

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Questions and Answers

What is the magnitude of the vector product of two unit vectors making an angle of 60 degrees with each other?

3/2

√3/2 (correct)

Which of the following is not classified as a fundamental unit?

Centigrade (correct)

Kilogram

Centimeter (correct)

Volt (correct)

Which of the following acts as an ohmic conductor?

Electrolyte

Nichrome wire (correct)

Vacuum tube

Transistor

What is the term for changing dimensions in a material?

Deformation Signup and view all the answers

When an electron is placed between two parallel plates connected to a battery and the battery is turned on, what will happen?

It will be attracted to the positive plate Signup and view all the answers

How many significant figures are in the number 0.05718?

4 Signup and view all the answers

If a cell with an EMF of 2 Volts has an internal resistance of 0.1Ω connected to a resistance of 0.9Ω, what is the voltage across the cell?

1.95 V Signup and view all the answers

Which of the following statements is true regarding vector addition for quantities with different dimensions?

It is incorrect to add them. Signup and view all the answers

How many electrons are needed to accumulate a total charge of one Coulomb?

6.25 X 1018 Signup and view all the answers

What is the dimension of tensile stress?

ML-2 Signup and view all the answers

According to Hooke's law, what happens to the strain in a material when the stress is doubled?

The strain doubles. Signup and view all the answers

Which of the following best describes the parallelogram law of vectors?

The sum of two vectors can be represented by the two sides of a parallelogram. Signup and view all the answers

What is the resistance of a glowing filament if a flashlight uses two 1.5 V batteries to provide a steady current of 0.5 A?

12 Ω Signup and view all the answers

What characterizes electric lines of force?

They never intersect. Signup and view all the answers

How is the equivalent resistance of resistors in series calculated?

It is the sum of their resistances. Signup and view all the answers

What does the order of magnitude of a physical quantity refer to?

Its scale or size. Signup and view all the answers

Study Notes

Exam Details

Swami Vivekanand Junior College, Chembur
First Semester Examination, 2023-24
Physics
Date: 30/10/2023
Standard: FYJC (Science)
Marks: 50
Time: 2.5 Hours
Physical Constants:
- 1/(4πε₀) = 9.0 x 10⁹ Nm²C⁻²
- le = 1.6 x 10⁻¹⁹ C

Section A: Multiple Choice Questions (7 marks)

Q1(i): The fundamental unit among the options is kg
Q1(ii): The magnitude of the vector product of two unit vectors with an angle of 60 degrees is √3/2.
Q1(iii): Nichrome wire is an ohmic conductor
Q1(iv): Deformation refers to a change in dimension
Q1(v): An electron will be attracted to the positive plate
Q1(vi): The number of significant figures in 0.05718 is 4
Q1(vii): The voltage across the cell is 1.8 V

Section A: Very Short Answer Questions (7 marks)

Q2(i): No, it is not correct to add two vectors representing physical quantities having different dimensions.
Q2(ii): The resultant vector is the single vector that produces the same effect as all the individual vectors.
Q2(iii): The SI unit of electrical conductivity is Siemens per meter (S/m).
Q2(iv): The dimensions of stress are ML⁻¹T⁻²
Q2(v): 6.25 x 10¹⁸ electrons are required to accumulate a charge of 1C.
Q2(vi): The resistance of the filament is 3 Ω.
Q2(vii): Hooke's law states that the extension of a spring is directly proportional to the force applied to it within the elastic limit.

Section B: Short Answer Questions (16 marks)

Q3: Dimensions of a physical quantity are the powers to which fundamental units are raised to represent that quantity. Examples include length (L), mass (M), and time (T).
Q4: The parallelogram law states that if two vectors are represented by two adjacent sides of a parallelogram, then their resultant is represented by the diagonal passing through their common vertex, both in magnitude and direction.
Q5: To increase the voltage rating of a battery, more cells are connected in series. To increase the current rating, more cells are connected in parallel.
Q6:
- Tensile stress: The restoring force per unit area of a material when stretched.
- Volume strain: The fractional change in volume of a material when subjected to a compressive or tensile stress.
Q7: The stress in the wire is 2 x 10⁸ N/m².
Q8: Four characteristics of electric lines of force:
- They originate from positive charges and terminate on negative charges.
- They never intersect each other.
- The tangent to the line of force at any point gives the direction of the electric field at that point.
- The lines of force are closer together where the electric field is stronger and farther apart where the electric field is weaker.
Q9: The electric field at a distance of 5 cm from the charge is -2.88 x 10⁶ N/C.
Q10: The order of magnitude of a physical quantity is the power of 10 that most closely approximates its value. Examples include the order of magnitude of the mass of an electron, which is 10⁻³¹ kg, and the order of magnitude of the speed of light, which is 10⁸ m/s.
Q11: The magnitude of V₁ + V₂ is √38.
Q12:
- The color code for a 330 Ω resistor with ±10% tolerance is Orange, Orange, Brown, Silver.
- The color code for a 1 kΩ resistor with ±10% tolerance is Brown, Black, Red, Silver.
Q13: The magnitude of the current density is 2.65 x 10⁶ A/m².

Section C: Short Answer Questions (12 marks)

Q14: Dimensional analysis confirms that the equation T = 2π√(l/g) is dimensionally correct.
Q15: Coulomb's law states that the force of attraction or repulsion between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. In vector form: F = (1/4πε₀) * (q₁q₂/r²) * r̂
Q16: The triangle of vector addition graphically demonstrates that vector addition is associative.
Q17: The dimensional formula for a is LT⁻², for b is L³T⁻¹, and for c is T.
Q18: Vectors a and b are parallel because they are proportional to each other.
Q19:
- The equivalent resistance of the 10Ω, 20Ω, and 30 Ω resistors connected in series is 60 Ω.
- The potential difference across each resistor is 2 V, 4 V, and 6 V, respectively.

Section D: Long Answer Questions (8 marks)

Q20:
- Absolute error: The difference between the measured value and the true value of a quantity.
- Percentage error: The ratio of the absolute error to the true value, multiplied by 100%.

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Prepare for the Swami Vivekanand Junior College Physics exam for FYJC Science students. This quiz covers fundamental concepts, multiple choice questions, and short answer format, assessing key physics principles and calculations. Test your understanding of physical constants and vector properties to excel in your upcoming examination.