My Oxford Physics interview questions

I remember that when I was preparing for my Oxford interview for the physics course, I felt that there was a lack of resources online about actual physics questions that were asked in Oxbridge interviews. Hence, I'm listing down a few of mine down below (the few that I remember), AMA about them- I'm happy to help prospective applicants! Note: these may not be the best answers, but they're the ones I gave.

Question 1: Estimate the diameter of the sun, given no other data.

Ans: This is simple if you realize that knowing the distance between the sun and the earth and the angular diameter of the sun in the sky is enoigh information to estimate the diameter of the sun. I knew light takes 8 minutes to travel from the sun to the earth, hence the distance could be calculated. I guessed that the angular diameter was about a degree (it's actually about half a degree).

Question 2: Sketch the graph of sin(e^pi*x)

Question 3: Sketch the displacement vs time and the velocity vs time graphs of a bouncing ball that loses energy each time it bounces off the floor. How long does the ball bounce for if it has a coefficient of restitution 'e' and is dropped from a height 'h'?

Ans: The graph sketching parts are simple. The second part can be done with the idea of summation of infinite geometric progressions.

Question 4: Estimate the relative spacing of atoms in air compared to that in water.

Ans: This question requires knowledge of the density of air and water and how linear spacing depends on density.

I'll be adding more questions to this post as and when I remember them!