39. If the kinetic energy of a subatomic particle is increased 8 times, its de Broglie wavelength becomes 'x' times the original wavelength. The value of 'x' is
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39. If the kinetic energy of a subatomic particle is increased 8 times, its de Broglie wavelength becomes 'x' times the original wavelength. The value of 'x' is
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Answer:
Kinetic energy of proton =
2m
p
2
If kinetic energy is increased to 9 times, momentum (p) is increased by 3 times.
So, De Broglie wavelength =
p
h
is decreased by 3 times, i.e., from λ to
3
λ
.
Verified answer
Answer:
[tex]wavelength = \frac{h}{ \sqrt{2m \: \times kinetic \: energy} } \\ [/tex]
Explanation:
If K.E is made 8 times, the equation becomes new
wavelength= h/√2m 8 K.E=h/√8x√2mK.E
so final eq. is new wavelength= 1/2√2 of previous wavelength