357610
Assertion : The de Broglie equation has significance for any microscopic particle. Reason : The de Broglie wavelength is inversely proportional to the mass of the object if velocity is constant.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
\(\lambda=\dfrac{h}{m v}\). Here \(\mathrm{h}\) indicates quantum or microscopic nature. \(\lambda\) is appreciable only if \(m\) is low. The de Broglie equation extends wave particle duality to all microscopic particles, predicting their associated wavelengths based on momentum. It plays a crucial role in explaining quantum effects, facilitating techno-logical applications in diffraction, interference, and high precision measurements. The deBroglie equation is a fundamental concept in quantum mechanics. So correct option is (1) .
PHXII11:DUAL NATURE OF RADIATION AND MATTER
357611
A wave is associated with matter when it is
1 Stationary
2 In motion with a velocity
3 In motion with speed of light
4 In motion with speed greater than that of light
Explanation:
Conceptual Question
PHXII11:DUAL NATURE OF RADIATION AND MATTER
357612
An electron and photon have same wavelength. If \(E\) is the energy of photon and \(P\) is the momentum of electron, then the magnitude of \(\dfrac{E}{p}\) in \(SI\) unit is
1 \(3.0 \times 10^{8}\)
2 \(3.33 \times 10^{-9}\)
3 \(9 \times 10^{16}\)
4 \(1.1 \times 10^{-19}\)
Explanation:
For electron, \(p = \frac{h}{\lambda }\); and for photon, \(E = \frac{{hc}}{\lambda }\) \(\therefore \quad \frac{E}{p} = \frac{{hc/\lambda }}{{h/\lambda }} = c = 3 \times {10^8}\;m{s^{ - 1}}\)
357610
Assertion : The de Broglie equation has significance for any microscopic particle. Reason : The de Broglie wavelength is inversely proportional to the mass of the object if velocity is constant.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
\(\lambda=\dfrac{h}{m v}\). Here \(\mathrm{h}\) indicates quantum or microscopic nature. \(\lambda\) is appreciable only if \(m\) is low. The de Broglie equation extends wave particle duality to all microscopic particles, predicting their associated wavelengths based on momentum. It plays a crucial role in explaining quantum effects, facilitating techno-logical applications in diffraction, interference, and high precision measurements. The deBroglie equation is a fundamental concept in quantum mechanics. So correct option is (1) .
PHXII11:DUAL NATURE OF RADIATION AND MATTER
357611
A wave is associated with matter when it is
1 Stationary
2 In motion with a velocity
3 In motion with speed of light
4 In motion with speed greater than that of light
Explanation:
Conceptual Question
PHXII11:DUAL NATURE OF RADIATION AND MATTER
357612
An electron and photon have same wavelength. If \(E\) is the energy of photon and \(P\) is the momentum of electron, then the magnitude of \(\dfrac{E}{p}\) in \(SI\) unit is
1 \(3.0 \times 10^{8}\)
2 \(3.33 \times 10^{-9}\)
3 \(9 \times 10^{16}\)
4 \(1.1 \times 10^{-19}\)
Explanation:
For electron, \(p = \frac{h}{\lambda }\); and for photon, \(E = \frac{{hc}}{\lambda }\) \(\therefore \quad \frac{E}{p} = \frac{{hc/\lambda }}{{h/\lambda }} = c = 3 \times {10^8}\;m{s^{ - 1}}\)
357610
Assertion : The de Broglie equation has significance for any microscopic particle. Reason : The de Broglie wavelength is inversely proportional to the mass of the object if velocity is constant.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
\(\lambda=\dfrac{h}{m v}\). Here \(\mathrm{h}\) indicates quantum or microscopic nature. \(\lambda\) is appreciable only if \(m\) is low. The de Broglie equation extends wave particle duality to all microscopic particles, predicting their associated wavelengths based on momentum. It plays a crucial role in explaining quantum effects, facilitating techno-logical applications in diffraction, interference, and high precision measurements. The deBroglie equation is a fundamental concept in quantum mechanics. So correct option is (1) .
PHXII11:DUAL NATURE OF RADIATION AND MATTER
357611
A wave is associated with matter when it is
1 Stationary
2 In motion with a velocity
3 In motion with speed of light
4 In motion with speed greater than that of light
Explanation:
Conceptual Question
PHXII11:DUAL NATURE OF RADIATION AND MATTER
357612
An electron and photon have same wavelength. If \(E\) is the energy of photon and \(P\) is the momentum of electron, then the magnitude of \(\dfrac{E}{p}\) in \(SI\) unit is
1 \(3.0 \times 10^{8}\)
2 \(3.33 \times 10^{-9}\)
3 \(9 \times 10^{16}\)
4 \(1.1 \times 10^{-19}\)
Explanation:
For electron, \(p = \frac{h}{\lambda }\); and for photon, \(E = \frac{{hc}}{\lambda }\) \(\therefore \quad \frac{E}{p} = \frac{{hc/\lambda }}{{h/\lambda }} = c = 3 \times {10^8}\;m{s^{ - 1}}\)
357610
Assertion : The de Broglie equation has significance for any microscopic particle. Reason : The de Broglie wavelength is inversely proportional to the mass of the object if velocity is constant.
1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
Explanation:
\(\lambda=\dfrac{h}{m v}\). Here \(\mathrm{h}\) indicates quantum or microscopic nature. \(\lambda\) is appreciable only if \(m\) is low. The de Broglie equation extends wave particle duality to all microscopic particles, predicting their associated wavelengths based on momentum. It plays a crucial role in explaining quantum effects, facilitating techno-logical applications in diffraction, interference, and high precision measurements. The deBroglie equation is a fundamental concept in quantum mechanics. So correct option is (1) .
PHXII11:DUAL NATURE OF RADIATION AND MATTER
357611
A wave is associated with matter when it is
1 Stationary
2 In motion with a velocity
3 In motion with speed of light
4 In motion with speed greater than that of light
Explanation:
Conceptual Question
PHXII11:DUAL NATURE OF RADIATION AND MATTER
357612
An electron and photon have same wavelength. If \(E\) is the energy of photon and \(P\) is the momentum of electron, then the magnitude of \(\dfrac{E}{p}\) in \(SI\) unit is
1 \(3.0 \times 10^{8}\)
2 \(3.33 \times 10^{-9}\)
3 \(9 \times 10^{16}\)
4 \(1.1 \times 10^{-19}\)
Explanation:
For electron, \(p = \frac{h}{\lambda }\); and for photon, \(E = \frac{{hc}}{\lambda }\) \(\therefore \quad \frac{E}{p} = \frac{{hc/\lambda }}{{h/\lambda }} = c = 3 \times {10^8}\;m{s^{ - 1}}\)
