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NEETPhysicsDual Nature of Matter

Match the following ratio of De-Broglie wavelengths of a proton and ( ) particle, when both ( array |c|l|c|l| & List-I & & List-II A & Have same speed & (p) & 2 : 1 B & Have same potential & difference & (q) & 1 : 1 C & Have same kinetic & energy & (r) & 4 : 1 D & Have same linear & momentum & (s) & 2 2 : 1 array )

Options

  1. A( array |c|c|c|c|c| & A & B & C & D 1 & p & q & r & s array )
  2. B( array |c|c|c|c|c| & A & B & C & D 2 & r & s & p & q array )
  3. C( array |c|c|c|c|c| & A & B & C & D 3 & p & r & q & s array )
  4. D( array |c|c|c|c|c| & A & B & C & D 4 & r & q & s & p array )

Correct answer

B. ( array |c|c|c|c|c| & A & B & C & D 2 & r & s & p & q array )

Step-by-step solution

( aligned & (A) = h m v or 1 m & _ p _ = m _ m _ p = 4 1 ( ~m _ 4 ~m _ p ) & (B) = h 2 mqV or 1 ~m q & _ p _ = ( m _ m _ p ) ( q _ q _ p ) = 4 1 2 1 = 2 2 1 & ( . q _ =2 q _ p ) aligned ) (C) ( aligned & = h 2 mE _ k or 1 ~m & _ p _ = m _ m _ p = 4 1 = 2 1 aligned ) (D) ( aligned & = h p & _ p _ = 1 1 aligned )

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