Question

in case if the angle of prism is 60 degree and the angle of minimum deviation is 37.2 degree the refractive index of the prism will be

Answer 1

Dm=2i-A
=>37.2=2i-60
=>2i=97.2
=>i=48.6
Now,
u'sini=usinA/2,where u'=refrective index of sorrounig medium if it is air,then u'=1 &
u=reflective index of material
=>u'sin48.2=usin30
=>u'1/√2=u*1/2,48.2~45
=>u=2u'/√2
=>u=√2u',for air u'=1