The lyman alpha spectral line of hydrogen ( 122 nanometers) differs by 1.8 x 10meter in spectra taken at the edge of the sun's equator relative to spectra taken at the middle. a) we expect the relative speeds of the two sides of the sun to be much smaller than c. find the expression for the fractional doppler shift in wavelength to lowest order in v/c. b) show that the size of the earth's orbit is given by orbit142 λθπ where psun is the sun's rotational period and θ is the angular diameter of the sun viewed from earth. determine the speed of a particle on the equator due to the sun's rotation, in kilometers per second. c) he sun's rotation period is known to be psun 24 days, and it subtends 05 degrees on the sky. determine the radius of earth's orbit

Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. each step is of uniform height . the mass of each object is a multiple of the base mass : object 1 has mass 4..00m , object 2 has mass 1..96m , and object 3 has mass . when the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero. if the objects are then relocated as shown, what is the new total potential energy of the system? each answer requires the numerical coefficient to an algebraic expression. each algebraic expression is given using some combination of the variables , , and , where is the acceleration due to gravity. enter only the numerical coefficient. (example: if the answer is 1..23mgd , just enter 1.23)

Light traveling in water, nwater = 1.33, strikes a plastic block at an angle of incidence of 51.4°; part of the beam is reflected and part is refracted. if the index of refraction of the plastic is 2.0, what is the angle made by the reflected and refracted beams?

Holes drilled several kilometers into earth’s crust provide direct evidence about earth’s interior in the form of