A physics instructor wants to project a spectrum of visible light colors from 400nm to 700nm as part of a classroom demonstration. She shines a beam of white light through a diffraction grating that has 500 lines per mm, projecting a pattern on a screen 2.4 m behind the grating.

a) how wide is the spectrum the corresponds to m=1?

b. How much distance separates the end of the m=1 spectrum and the start of m= 2 spectrum?

If the speed of a particle triples ,by what factor does its kinetic energy increase?

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)

Individuals who live below the poverty line get seriously ill more often than those who do not what could be the hidden variable in this situation?