Physics Quiz Quiz

Test your skills with this 15-question quiz covering general aptitude and foundational physics concepts, including logical reasoning, mathematics, color theory, crystal lattice structures, and quantum mechanics. Ideal for students and those preparing for competitive examinations.

1. Q1

   Which preposition correctly completes the sentence: 'Is there any good show television tonight?'

   1. at
   2. on
   3. within
   4. in

2. Q2

   Select the word that best completes the sentence: 'As the police officer was found guilty of embezzlement, he was dismissed from the service ________ in accordance with the Service Rules.'

   1. summarily
   2. sumptuously
   3. unintentionally
   4. brazenly

3. Q3

   What is the sum of the infinite series 1/1! + 1/2! + 1/3! + 1/4! + 1/5! + ... ?

   1. π
   2. 1 + e
   3. e – 1
   4. e

4. Q4

   A 12-meter thin wire is used to construct all the edges of a 1 m sided cube. What is the minimum number of cuts required to construct the wire frame for the cube?

   1. 6
   2. 12
   3. 3
   4. 4

5. Q5

   Based on the sequence of figures I, II, and III (not shown), which reasoning principle is often used to find the next shape in a visual sequence?

   1. Pattern recognition
   2. Numerical subtraction
   3. Random selection
   4. Trial and error

6. Q6

   According to a passage criticizing the demolition of crooked streets, which of the following statements is true?

   1. In the past, crooked streets were only built on islands.
   2. The author of the passage takes delight in wondering.
   3. Great broad ways are needed to protect commerce and history.
   4. The wealthier nations are pulling down the crooked streets in their capitals.

7. Q7

   If Rohit enters a restaurant at exactly 1 PM when the hour and minute hands are coinciding, and the hands coincide again just as he leaves, how many minutes did he spend inside?

   1. 65
   2. 64
   3. 66 11
   4. 66

8. Q8

   Which primary colors are present in the subtractive color model (commonly used in printing)?

   1. Red, Blue, Green
   2. Yellow, Magenta, Cyan
   3. Cyan, Blue, Red
   4. Magenta, Yellow, Green

9. Q9

   A circle centered at (0.5, 0) with radius 0.5 intersects a circle at (1, 1) with radius 1 at two points. Which of the following is one of their points of intersection?

   1. (1,2)
   2. (0.2,0.4)
   3. (0,0)
   4. (0.5,0.5)

10. Q10

    Which geometric shape in the plane exhibits 4-fold rotational symmetry about an axis perpendicular to its surface?

    1. Square
    2. Equilateral triangle
    3. Hexagon
    4. Regular pentagon

11. Q11

    For a two-dimensional hexagonal lattice with lattice constant a, what is the atomic density?

    1. 1/√3a²
    2. 1/√6α²
    3. 1/3√3a²
    4. 4/3√3a²

12. Q12

    A crystal has primitive vectors a₁ = ai, a₂ = aj, a₃ = a/2(i + j + k). Its basis consists of a single atom. What is the type of Bravais lattice and the volume of its primitive cell?

    1. It is FCC and the volume is a³
    2. It is FCC and the volume is a³/4
    3. It is BCC and the volume is a³/2
    4. It is BCC and the volume is a³/8

13. Q13

    For a particle of mass m in the potential V(x) = ½mω²x² for x u003E 0 and infinite potential for x ≤ 0, what is the ratio of the ground state energy to the first excited state energy?

    1. 1/2
    2. 1/3
    3. 3/5
    4. 2/7

14. Q14

    If a particle is scattered from a potential V(r) = gδ²(r), where g is a positive constant, what is the angular dependence (θ, φ) of the differential scattering cross section in the first Born approximation?

    1. Isotropic (no angular dependence)
    2. Depends on sin(θ)
    3. Depends on cos(θ)
    4. Varies with φ only

15. Q15

    Which scenario best requires using the primitive cell concept in crystalline solids?

    1. When classifying organic compounds by chemical groups
    2. When determining the periodicity and structure of a crystal lattice
    3. When analyzing the symmetry of a molecule
    4. When studying free electron motion in a vacuum