142423
If the potential difference used to accelerate electrons is doubled, by what factor does the de-Broglie wavelength associated with the electrons change?
1 Wavelength is increased to $\frac{1}{2}$ times
2 wavelength is decreased to $\frac{1}{\sqrt{2}}$ times
3 wavelength is increased to $\frac{1}{\sqrt{2}}$ times
4 wavelength is decreased to $\frac{1}{3}$ times
Explanation:
B The de-Broglie wavelength is given, $\lambda($ in $\mathrm{nm})=\frac{1.23}{\sqrt{\mathrm{V}}}$ times. Hence, it becomes $\frac{1}{\sqrt{2}}$ time.
MHT-CET 2020
Dual nature of radiation and Matter
142427
If the kinetic energy of a particle is increased to 16 times its previous value, the percentage change in the de-Broglie wavelength of the particle is
1 50
2 75
3 25
4 5
Explanation:
B According to the de-Broglie wavelength, $\lambda_{1}=\frac{\mathrm{h}}{\mathrm{p}}=\frac{\mathrm{h}}{\sqrt{2 \mathrm{mk}}}$ $\lambda_{2}=\frac{\mathrm{h}}{\sqrt{2 \mathrm{ml6k}}}=\frac{\mathrm{h}}{4 \sqrt{2} \mathrm{mk}}=\frac{\lambda_{1}}{4}$ $\lambda_{2}=25 \% \text { of } \lambda_{1}$ There is $75 \%$ change in the wavelength
MHT-CET 2020
Dual nature of radiation and Matter
142436
An electron is accelerated through a potential difference of $10,000 \mathrm{~V}$. Its de-Broglie wavelength is, (nearly) : $\left(\mathrm{m}_{\mathrm{e}}=9 \times 10^{-31} \mathrm{~kg}\right)$
142423
If the potential difference used to accelerate electrons is doubled, by what factor does the de-Broglie wavelength associated with the electrons change?
1 Wavelength is increased to $\frac{1}{2}$ times
2 wavelength is decreased to $\frac{1}{\sqrt{2}}$ times
3 wavelength is increased to $\frac{1}{\sqrt{2}}$ times
4 wavelength is decreased to $\frac{1}{3}$ times
Explanation:
B The de-Broglie wavelength is given, $\lambda($ in $\mathrm{nm})=\frac{1.23}{\sqrt{\mathrm{V}}}$ times. Hence, it becomes $\frac{1}{\sqrt{2}}$ time.
MHT-CET 2020
Dual nature of radiation and Matter
142427
If the kinetic energy of a particle is increased to 16 times its previous value, the percentage change in the de-Broglie wavelength of the particle is
1 50
2 75
3 25
4 5
Explanation:
B According to the de-Broglie wavelength, $\lambda_{1}=\frac{\mathrm{h}}{\mathrm{p}}=\frac{\mathrm{h}}{\sqrt{2 \mathrm{mk}}}$ $\lambda_{2}=\frac{\mathrm{h}}{\sqrt{2 \mathrm{ml6k}}}=\frac{\mathrm{h}}{4 \sqrt{2} \mathrm{mk}}=\frac{\lambda_{1}}{4}$ $\lambda_{2}=25 \% \text { of } \lambda_{1}$ There is $75 \%$ change in the wavelength
MHT-CET 2020
Dual nature of radiation and Matter
142436
An electron is accelerated through a potential difference of $10,000 \mathrm{~V}$. Its de-Broglie wavelength is, (nearly) : $\left(\mathrm{m}_{\mathrm{e}}=9 \times 10^{-31} \mathrm{~kg}\right)$
142423
If the potential difference used to accelerate electrons is doubled, by what factor does the de-Broglie wavelength associated with the electrons change?
1 Wavelength is increased to $\frac{1}{2}$ times
2 wavelength is decreased to $\frac{1}{\sqrt{2}}$ times
3 wavelength is increased to $\frac{1}{\sqrt{2}}$ times
4 wavelength is decreased to $\frac{1}{3}$ times
Explanation:
B The de-Broglie wavelength is given, $\lambda($ in $\mathrm{nm})=\frac{1.23}{\sqrt{\mathrm{V}}}$ times. Hence, it becomes $\frac{1}{\sqrt{2}}$ time.
MHT-CET 2020
Dual nature of radiation and Matter
142427
If the kinetic energy of a particle is increased to 16 times its previous value, the percentage change in the de-Broglie wavelength of the particle is
1 50
2 75
3 25
4 5
Explanation:
B According to the de-Broglie wavelength, $\lambda_{1}=\frac{\mathrm{h}}{\mathrm{p}}=\frac{\mathrm{h}}{\sqrt{2 \mathrm{mk}}}$ $\lambda_{2}=\frac{\mathrm{h}}{\sqrt{2 \mathrm{ml6k}}}=\frac{\mathrm{h}}{4 \sqrt{2} \mathrm{mk}}=\frac{\lambda_{1}}{4}$ $\lambda_{2}=25 \% \text { of } \lambda_{1}$ There is $75 \%$ change in the wavelength
MHT-CET 2020
Dual nature of radiation and Matter
142436
An electron is accelerated through a potential difference of $10,000 \mathrm{~V}$. Its de-Broglie wavelength is, (nearly) : $\left(\mathrm{m}_{\mathrm{e}}=9 \times 10^{-31} \mathrm{~kg}\right)$
NEET Test Series from KOTA - 10 Papers In MS WORD
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Dual nature of radiation and Matter
142423
If the potential difference used to accelerate electrons is doubled, by what factor does the de-Broglie wavelength associated with the electrons change?
1 Wavelength is increased to $\frac{1}{2}$ times
2 wavelength is decreased to $\frac{1}{\sqrt{2}}$ times
3 wavelength is increased to $\frac{1}{\sqrt{2}}$ times
4 wavelength is decreased to $\frac{1}{3}$ times
Explanation:
B The de-Broglie wavelength is given, $\lambda($ in $\mathrm{nm})=\frac{1.23}{\sqrt{\mathrm{V}}}$ times. Hence, it becomes $\frac{1}{\sqrt{2}}$ time.
MHT-CET 2020
Dual nature of radiation and Matter
142427
If the kinetic energy of a particle is increased to 16 times its previous value, the percentage change in the de-Broglie wavelength of the particle is
1 50
2 75
3 25
4 5
Explanation:
B According to the de-Broglie wavelength, $\lambda_{1}=\frac{\mathrm{h}}{\mathrm{p}}=\frac{\mathrm{h}}{\sqrt{2 \mathrm{mk}}}$ $\lambda_{2}=\frac{\mathrm{h}}{\sqrt{2 \mathrm{ml6k}}}=\frac{\mathrm{h}}{4 \sqrt{2} \mathrm{mk}}=\frac{\lambda_{1}}{4}$ $\lambda_{2}=25 \% \text { of } \lambda_{1}$ There is $75 \%$ change in the wavelength
MHT-CET 2020
Dual nature of radiation and Matter
142436
An electron is accelerated through a potential difference of $10,000 \mathrm{~V}$. Its de-Broglie wavelength is, (nearly) : $\left(\mathrm{m}_{\mathrm{e}}=9 \times 10^{-31} \mathrm{~kg}\right)$
