De Broglie wavelength of proton = \(λ\) and that of an a particle \(2λ\). The ratio of velocity of proton to that of \(\alpha\) particle is
- \(8\)
- \(\frac{1}{8}\)
- \(4\)
- \(\frac{1}{4}\)
The Correct Option is B
Solution and Explanation
The correct option is (B): \(\frac{1}{8}\)
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Concepts Used:
De Morgans Theorem
De-Morgan's First Theorem
As per De-Morgan's first theorem, the complement outcomes of the AND operation are equivalent to the OR operation of the complement of that variable. Thus, it is equivalent to the NAND function and is a negative-OR function manifest that (A.B)' = A'+B' and we can show this using the given table.
De-Morgan's Second Theorem
As per De-Morgan's second theorem, the complement outcomes of the OR operation are equivalent o the AND operation of the complement of that variable. Thus, it is the equal of the NOR function and is a negative-AND function that manifests that (A+B)' = A'.B' and we can represent this using the given truth table.
