Asian Physics Olympiad · Year 2010

Problems

Problem 1A body slides without friction from height $h$ above the bottom into a vertical loop of radius $R$ . Find the minimum height to maintain contact at the top. (a) State the assumptions and establish the governing equation for the requested quantity. (b) Solve it in terms of the given symbols, identifying the direction, sign, or physical nature of the result. (c) Check a simple limiting case and state when the model remains valid. Use SI units consistently, retain the symbols in the setup, and enforce all geometric constraints and initial conditions.Solutions: 1
Problem 2An initially uncharged capacitor $C$ is connected in series with resistor $R$ and ideal emf $\mathcal E$ . Find $q(t)$ , $i(t)$ and the time to reach half the final voltage. (a) State the assumptions and establish the governing equation for the requested quantity. (b) Solve it in terms of the given symbols, identifying the direction, sign, or physical nature of the result. (c) Check a simple limiting case and state when the model remains valid. Use SI units consistently, retain the symbols in the setup, and enforce all geometric constraints and initial conditions.Solutions: 1
Problem 3Light of frequency $f$ enters a stationary medium of refractive index $n$ ; vacuum light speed is $c$ . Find its wavelength in the medium. (a) State the assumptions and establish the governing equation for the requested quantity. (b) Solve it in terms of the given symbols, identifying the direction, sign, or physical nature of the result. (c) Check a simple limiting case and state when the model remains valid. Use SI units consistently, retain the symbols in the setup, and enforce all geometric constraints and initial conditions.Solutions: 1