# Spaghettification of hard-things/Elements

Is it possible for a black-hole to easily stretch or turn any hard object like (Diamond , Gold bar , Platinum bar , Brass) into spaghettification state in just a seconds or minute once it gets near nor reached the black-hole's event horizon??

However, nothing special marks crossing event horizon and if we were talking about a supermassive black hole (a million solar masses or more), you might not even notice it had happened, since the force difference, sometimes called the tidal force, would be quite small. At the event horizon of a smaller black hole, the tidal force would be much larger. To see this, we note that the difference in force between two ends of a bar of length $$\Delta r$$ is approximately $$F = \frac{8GM}{r^3}\Delta r,$$ where $$M$$ is the black hole mass. At the event horizon $$r = 2GM/c^2$$, so $$F = \frac{c^6}{G^2M^2}\Delta r.$$
The spaghettification force continues to increase as the object heads towards $$r=0$$, which will occur in a finite proper time for the falling object. So it will always increase sufficiently to rip something apart, no matter what it is made of; the question is merely at what radius does this happen.
Consider a material of tensile strength $$T$$, size $$\Delta r$$ and cross-sectional area $$\sim (\Delta r)^2$$. For this to break up before reaching the event horizon then the tidal force at the event horizon must exceed $$T (\Delta r)^2$$ and thus $$\frac{c^6}{G^2M^2}\Delta r > T (\Delta r)^2$$ $$M < 2\times10^5 \left({T \Delta r}\right)^{-1/2}\ M_{\odot}$$
Diamond has $$T\sim 10^{11}$$ N/m$$^2$$. If it was of size 1 cm, then a black hole would need to be larger than 6 solar masses for this chunk of diamond to survive being ripped apart outside the event horizon. Other materials or larger bits of material are easier to break and would not survive outside the horizon of even more massive black holes. e.g. The tensile strength of bone is about $$10^{8}$$ N/m$$^2$$, so a 0.1m piece of bone would be pulled apart prior to falling through the event horizon if $$M< 60M_{\odot}$$.