Q-Why does a glaas slab not able to disperse the ray of white light passing through it???????????/

  • in a glass slab the refracting surfacces are parallel to each other. These sides do not make an angle. Thus the emergent ray gets slightly displaced
  • In prism the refracting surfaces are not parallel to each other and they form an angle known as angle of prism.
  • thus the incident ray gets dispersed into its constituent colors.

Hope it helps.

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dispersion  mainly depends   the peculiar shape of the refracting surfaces 

 

in a prism it is at an angle and they intersect so dispersion depends on that angle

 

in a glass slab the sides are parallel.they never intersect . 

if a glass slab is cut diagonally it will disperse light 

 

 If the two interface surfaces are parallel to each other, as in a 'slab' of glass, all of the bending (and dispersion) that takes place at the first interfaces is exactly reversed at the second, 'undoing' the effect of the first interface; so although the emerging ray of light is displaced slightly from the entering ray, it travels in the same direction as the incoming ray and all wavelengths that separated at the first interface are re-combined. 

If the second interface is NOT parallel to the first, as in a prism, the effects of the first interface are NOT reversed and the colors separated at that interface continue along different paths upon leaving the glass.

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