Show that the fractional change in the speed of sound (dv/v) due to a very small temperature change dt is given by dv/v=12dt/t. (hint: start with equation v=γrtm√.)well we start with(gamma(r)/m) = av = sqr a(t) = at^.5dv= .5 at^-.5 dtdv/v = .5dt/tprevious answerssubmitted, grade pendingpart bthe speed of sound in air at 20 ∘c is found to be 344 m/s. use the result in part a to find the change in the speed of sound for a 1.0 ∘c change in air temperature. express your answer using two significant figures.