A particle is constrained to move in a circle with a 10-metre radius. At one instant, the particle speed is 10 m/s and its speed is increasing with a rate of 10 m/s² . What is the angle between the particle velocity and acceleration vectors? 

a. 0 degrees 

b. 30 degrees 

c. 45 degrees 

d. 90 degrees

You have a system of non-interacting particles that can exist in three possible states, with energy 0, E, 2E (E > 0). At a temperature T = E/k_B (where k_B = Boltzmann’s constant) the energy states are occupied in approximately the ratio 

a. 1 : 1 : 1 

b. 1 : 0.5 : 0.25 

c. 1 : 2.72 : 7.39 

d. 1 : 0.37 : 0.14

Which one of the following cannot form a bilayer by itself? 

a. Glycerophospholipids 

b. Cholesterol 

c. Phosphatidic acid 

d. Glycerolipids

Consider the following statements. 

I. Some fairies are pixies 

II. All pixies are magicians 

III. No magicians are trolls

Based on the above statements, which of the following is correct: 

a. Some trolls are pixies 

b. Some fairies are magicians 

c. All magicians are pixies 

d. All pixies are fairies 

Scientists marked and released 100 lizards on 4 islands. Each island is home to predators. After a month they trapped and counted all surviving marked lizards. They then repeated the experiment, but after removing all predators from each island. Their results are summarised below. Which of the following inferences can you make from this plot?

a. Predators have no impact on lizard survival 

b. Predators have a bigger impact on female survival than male survival 

c. Some islands did not have any predators to begin with 

d. Females survival is twice that of males, but only in the presence of predators

You have been asked to measure the wingspans of a set of birds of the same species. As your sample size (the number of wingspans you measure) increases, what will a graph of standard deviation vs. sample size look like? 

a. Increasing 

b. Decreasing 

c. Constant (flat) 

d. Fluctuating (sometimes increasing, sometimes decreasing)

Human red blood cells (RBCs) cannot be grown in cultures because 

a. RBCs require a steady oxygen supply 

b. RBCs are extremely fragile

c. RBCs are terminally differentiated cells 

d. RBCs are biconcave

Which of the following best explains why the refractive index of water changes with temperature? 

a. Due to change in density 

b. Due to change in surface tension 

c. Due to change in viscosity 

d. Due to evaporation

The voltage measured across a metal bar is plotted as a function of applied current, at two different temperatures (T1 and T2). Which of the following statements is correct?

a. T1 is greater than T2 

b. T2 is less than T1

c. T1 is equal to T2 

d. T1 could be less than or greater than T2 depending on which metal it is

Which one of the following quantities is invariant under Lorentz transformation? 

a. Charge density 

b. Charge 

c. Current 

d. Electric field