B) Show that Maxwell’s equations, when applied in a vacuum (i. e. no chargedensity or current density), give thewave equationsfor light:μ00∂2~E∂t2−∇2~E= 0;μ00∂2~B∂t2−∇2~B= 0(5)You need to show your work for full credit. Hint: take the curl of the righttwo equations in Eq. 1 and use the identity:∇×(∇×~F) =∇(∇·~F)−∇2~F(6)where∇2~Fis thevector Laplacian, whose components are the Laplacian ofthe individual components of~F. You will also need to use the fact that theordering of two derivatives can be interchanged.

Arod of some material 0.20 m long elongates 0.20 mm on heating from 21 to 120°c. determine the value of the linear coefficient of thermal expansion [in (degrees c)^-1] for this material.

Ascientific blank must be testable and capable of being proven false?

Consider a uniformly charged ring in the xy plane, centered at the origin. the ring has radius a and positive charge qdistributed evenly along its circumference. a)what is the direction of the electric field at any point on the z axis? . b)what is the magnitude of the electric field along the positive z axis? use k in your answer, where k=14πϵ0. d)the ball will oscillate along the z axis between z=d and z=−d in simple harmonic motion. what will be the angular frequency ω of these oscillations? use the approximation d≪a to simplify your calculation; that is, assume that d2+a2≈a2. express your answer in terms of given charges, dimensions, and constants