Consider a planet of mass (m) revolving around the sun, the time period (T) of revolution of the planet depends upon the mass of the sun (M), the radius of the orbit (r) and the gravitational Constant (G). Using DIMENSIONAL ANALYSIS, Verify Kepler's third law of planetary motion.​

The atoms in a nickel crystal vibrate as harmonic oscillators with an angular frequency of 2.3 × 1013 rad/s. the mass of a nickel atom is 9.75 × 10-26 kg. what is the difference in energy between adjacent vibrational energy levels of nickel? (h = 6.626 × 10-34 j • s, , 1 ev = 1.60 × 10-19 j)

Acalorimeter uses the principle that thermal energy flows from hotter material to colder material until both reach the same

Along wire carrying a 4.2 a current perpendicular to the xy-plane intersects the x-axis at x=−1.7cm. a second, parallel wire carrying a 3.0 a current intersects the x-axis at x=+1.7cm. part a at what point on the x-axis is the magnetic field zero if the two currents are in the same direction? express your answer to two significant figures and include the appropriate units.