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8. An angle has the following probability distribution: 𝑓 𝜃 = (1 + sin 3𝜃 )/2𝜋. What is the chance that the angle will lie between 0 and 120°? a. […]

7. Two carbon atoms have a non-covalent interaction whose potential energy varies with distance as 𝐸 𝑟 = 32000000/𝑟!” − 729/𝑟!, where r is measured in Angstroms. The equilibrium inter-atomic […]

6. Which of the following exerts a small but measurable effect on the period of a real clock pendulum? X: The amplitude of the pendulum swing. Y: The temperature. Z: […]

5. You wish to measure how tightly an ant can hold on to its substrate. You place an ant of mass 10 mg on a round, rotating platform at a […]

4. In a right-handed Cartesian frame of reference a 180° rotation about the X-axis followed by a 180° rotation about the Y-axis is equivalent to a. an inversion operation through […]

3. Assuming the earth is made of matter of uniform density and has radius 8000 km, the acceleration due to gravity in a 2000 km deep mine would be: a. […]

2. The minimum number of unequal non-zero length vectors which can add up to give a zero resultant is a. two b. three c. four d. five Correct Answer: Option […]

1. Two objects are acted upon by the same force for the same amount of time. At that point, even though the objects have different masses, they will have the […]

15. You obtain the durations of 3 sequential events using three different timers, as 1.63 seconds, 2.6 seconds and 3.558 seconds respectively. The combined duration of these events is the […]

14. The sign and unit place digit of (−9)99 are, respectively: a. Negative, 9 b. Negative, 1 c. Positive, 9 d. Not possible to determine without calculating the full number The […]