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): \(\frac{1}{8}\)
Top Questions on de broglie hypothesis
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Questions Asked in JEE Main exam
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A substance 'X' (1.5 g) dissolved in 150 g of a solvent 'Y' (molar mass = 300 g mol$^{-1}$) led to an elevation of the boiling point by 0.5 K. The relative lowering in the vapour pressure of the solvent 'Y' is $____________ \(\times 10^{-2}\). (nearest integer)
[Given : $K_{b}$ of the solvent = 5.0 K kg mol$^{-1}$]
Assume the solution to be dilute and no association or dissociation of X takes place in solution.- JEE Main - 2026
- Solutions
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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.
