Wave Nature of Matter
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357922 An electron of charge \(e\) and mass \(m\) is accelerated from rest by a potential difference \(V\). The de Broglie wavelength is

1 Directly proportional to the square root of potential difference
2 Inversely proportional to the square root of potential difference
3 Directly proportional to the square root of electron mass
4 Inversely proportional to the cube root of electron mass
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357923 The de-Broglie wavelength \(\left(\lambda_{B}\right)\) associated with the electron orbiting in the second excited state of hydrogen atom is related to that in the ground state \(\left(\lambda_{G}\right)\) by:

1 \(\lambda_{B}=3 \lambda_{G}\)
2 \(\lambda_{B}=2 \lambda_{G}\)
3 \(\lambda_{B}=3 \lambda_{G / 3}\)
4 \(\lambda_{B}=3 \lambda_{G / 2}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357924 An electron of mass \(m_{e}\) and a proton of mass \({m_p}\) are moving with the same speed. The ratio of their de - Broglie's wavelength \(\dfrac{\lambda_{e}}{\lambda_{p}}\) is

1 1
2 1836
3 \(\dfrac{1}{1836}\)
4 918
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357925 If \(K\) be the kinetic energy and \(m\) be the mass of a moving particle, then the de-Broglie wavelength of the particle is

1 \(\lambda = \frac{h}{{\sqrt {mK} }}\)
2 \(\lambda = \frac{{2h}}{{\sqrt {mK} }}\)
3 \(\lambda = \frac{h}{{2\sqrt {mK} }}\)
4 \(\lambda = \frac{h}{{\sqrt {2mK} }}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357922 An electron of charge \(e\) and mass \(m\) is accelerated from rest by a potential difference \(V\). The de Broglie wavelength is

1 Directly proportional to the square root of potential difference
2 Inversely proportional to the square root of potential difference
3 Directly proportional to the square root of electron mass
4 Inversely proportional to the cube root of electron mass
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357923 The de-Broglie wavelength \(\left(\lambda_{B}\right)\) associated with the electron orbiting in the second excited state of hydrogen atom is related to that in the ground state \(\left(\lambda_{G}\right)\) by:

1 \(\lambda_{B}=3 \lambda_{G}\)
2 \(\lambda_{B}=2 \lambda_{G}\)
3 \(\lambda_{B}=3 \lambda_{G / 3}\)
4 \(\lambda_{B}=3 \lambda_{G / 2}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357924 An electron of mass \(m_{e}\) and a proton of mass \({m_p}\) are moving with the same speed. The ratio of their de - Broglie's wavelength \(\dfrac{\lambda_{e}}{\lambda_{p}}\) is

1 1
2 1836
3 \(\dfrac{1}{1836}\)
4 918
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357925 If \(K\) be the kinetic energy and \(m\) be the mass of a moving particle, then the de-Broglie wavelength of the particle is

1 \(\lambda = \frac{h}{{\sqrt {mK} }}\)
2 \(\lambda = \frac{{2h}}{{\sqrt {mK} }}\)
3 \(\lambda = \frac{h}{{2\sqrt {mK} }}\)
4 \(\lambda = \frac{h}{{\sqrt {2mK} }}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357922 An electron of charge \(e\) and mass \(m\) is accelerated from rest by a potential difference \(V\). The de Broglie wavelength is

1 Directly proportional to the square root of potential difference
2 Inversely proportional to the square root of potential difference
3 Directly proportional to the square root of electron mass
4 Inversely proportional to the cube root of electron mass
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357923 The de-Broglie wavelength \(\left(\lambda_{B}\right)\) associated with the electron orbiting in the second excited state of hydrogen atom is related to that in the ground state \(\left(\lambda_{G}\right)\) by:

1 \(\lambda_{B}=3 \lambda_{G}\)
2 \(\lambda_{B}=2 \lambda_{G}\)
3 \(\lambda_{B}=3 \lambda_{G / 3}\)
4 \(\lambda_{B}=3 \lambda_{G / 2}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357924 An electron of mass \(m_{e}\) and a proton of mass \({m_p}\) are moving with the same speed. The ratio of their de - Broglie's wavelength \(\dfrac{\lambda_{e}}{\lambda_{p}}\) is

1 1
2 1836
3 \(\dfrac{1}{1836}\)
4 918
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357925 If \(K\) be the kinetic energy and \(m\) be the mass of a moving particle, then the de-Broglie wavelength of the particle is

1 \(\lambda = \frac{h}{{\sqrt {mK} }}\)
2 \(\lambda = \frac{{2h}}{{\sqrt {mK} }}\)
3 \(\lambda = \frac{h}{{2\sqrt {mK} }}\)
4 \(\lambda = \frac{h}{{\sqrt {2mK} }}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357922 An electron of charge \(e\) and mass \(m\) is accelerated from rest by a potential difference \(V\). The de Broglie wavelength is

1 Directly proportional to the square root of potential difference
2 Inversely proportional to the square root of potential difference
3 Directly proportional to the square root of electron mass
4 Inversely proportional to the cube root of electron mass
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357923 The de-Broglie wavelength \(\left(\lambda_{B}\right)\) associated with the electron orbiting in the second excited state of hydrogen atom is related to that in the ground state \(\left(\lambda_{G}\right)\) by:

1 \(\lambda_{B}=3 \lambda_{G}\)
2 \(\lambda_{B}=2 \lambda_{G}\)
3 \(\lambda_{B}=3 \lambda_{G / 3}\)
4 \(\lambda_{B}=3 \lambda_{G / 2}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357924 An electron of mass \(m_{e}\) and a proton of mass \({m_p}\) are moving with the same speed. The ratio of their de - Broglie's wavelength \(\dfrac{\lambda_{e}}{\lambda_{p}}\) is

1 1
2 1836
3 \(\dfrac{1}{1836}\)
4 918
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357925 If \(K\) be the kinetic energy and \(m\) be the mass of a moving particle, then the de-Broglie wavelength of the particle is

1 \(\lambda = \frac{h}{{\sqrt {mK} }}\)
2 \(\lambda = \frac{{2h}}{{\sqrt {mK} }}\)
3 \(\lambda = \frac{h}{{2\sqrt {mK} }}\)
4 \(\lambda = \frac{h}{{\sqrt {2mK} }}\)