Explain why you can see your reflection on a spoon, but not on a piece of cloth.

If rays from the lamp fall onto the surface of the spoon they all go the same direction corresponding to the "incidence angle = reflectance angle". 

When the rays fall onto the rough cloth, every little piece of cloth scatters light in all directions like, for instance, dust does. You cannot see through dust mainly because it also scatters light in all directions. 

The same thing is happening when you look at matte glass in comparison to glossy one. Matte glass is artificially roughed to scatter light and to prevent seeing people in the bathroom even though it's still a glass, i.e. silicium oxide.  

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Because the spoon has lustre while cloth has'nt lustre .
Hope you found this answer helpful ! :D
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If rays of lamp fall onto the surface of the spoon it will reflect and go to same direction but rays fall onto rough cloth it will not reflect the light 
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