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NEET 2024
Exam
NEET
Year
2024
Subject
Physics
Chapter
Dual Nature of Matter

NEET 2024 · Physics · Dual Nature of Matter

The graph which shows the variation of ((1)/(λ^2)) and its kinetic...

The graph which shows the variation of (1λ2)\left(\frac{1}{\lambda^2}\right) and its kinetic energy, EE is (where λ\lambda is de Broglie wavelength of a free particle):The graph which shows the variation of ((1)/(λ^2)) and its kinetic energy, E is (where λ is de Broglie wavelength of aThe graph which shows the variation of ((1)/(λ^2)) and its kinetic energy, E is (where λ is de Broglie wavelength of aThe graph which shows the variation of ((1)/(λ^2)) and its kinetic energy, E is (where λ is de Broglie wavelength of aThe graph which shows the variation of ((1)/(λ^2)) and its kinetic energy, E is (where λ is de Broglie wavelength of a

Options

  1. AWhat is India's share of the global species diversity?
  2. BWhat is India's share of the global species diversity?
  3. CWhat is India's share of the global species diversity?
  4. DWhat is India's share of the global species diversity?

Correct answer

C. What is India's share of the global species diversity?

Step-by-step solution

de-Broglie wavelength λ=hP=hmv=h2mE\lambda=\frac{h}{P}=\frac{h}{m v}=\frac{h}{\sqrt{2 m E}} where E=12mv2E=\frac{1}{2} m v^2 Squaring both sides, λ2=h24m2E⇒1λ2= (constant) E\begin{aligned} & \lambda^2=\frac{h^2}{4 m^2 E} \\ & \Rightarrow \frac{1}{\lambda^2}=\text{ (constant) } E \end{aligned} Graph passes through origin with constant slope.
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