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No, doubling the angle of incidence itself will not cause a doubling of the angle of refraction.
Technology used in microprocessors used to instruct information twice the normal bus speed. The Intel 80486DX2/50 MHz was the first processor with clock-doubling and was capable of running doubled to 50MHz. Today, clock-doubling is not required as the CPU runs independently of the Front Side Bus and connects directly to the North bridge.
No. This is known to be impossible. For more information, including a proof, check the Wikipedia article on "doubling the cube".
That is correct; to multiply by 2 and then multiply by 2 again is equivalent to multiplying by 4.
If the other dimensions (length and height) are left unchanged, doubling the width will double the volume.