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Q.

The potential energy of a particle of mass m is given by 

U(x)=E0;   0x10;       x>1

λ1 and λ2 are the de-Broglie wavelengths of the particle, when 0x1 and x>1 respectively. If the total energy of particle is 2E0, the ratio λ1λ2 will be 

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a

2

b

1

c

2

d

12

answer is C.

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Detailed Solution

K.Ei=2E0E0=E0(for0x1)

λ1=h2mE0

K.E.=2E0(forx>1)

λ2=h4mE0   λ1λ2=2.

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The potential energy of a particle of mass m is given by U(x)=E0;   0≤x≤1 0 ;       x>1λ1 and λ2 are the de-Broglie wavelengths of the particle, when 0≤x≤1 and x>1 respectively. If the total energy of particle is 2E0, the ratio λ1λ2 will be