03. Uncertainty Principle
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Structure of Atom

238815 The Heisenberg uncertainty principle may be stated as

1 $\Delta \mathrm{x} . \Delta \mathrm{v}=\mathrm{h}$
2 $\Delta \mathrm{x} \cdot \Delta \mathrm{v}=\mathrm{h} / 4 \pi \mathrm{m}$
3 $\Delta \mathrm{x} . \Delta \mathrm{v} \geq \mathrm{h} / 4 \pi \mathrm{m}$
4 $\Delta \mathrm{x} \cdot \Delta \mathrm{v}=\mathrm{h} / 4 \pi$
WB-JEE-2012
Structure of Atom

238818 The de Broglie wavelength of an electron in the $4^{\text {th }}$ Bohr orbit is

1 $6 \pi \mathrm{a}_0$
2 $2 \pi a_0$
3 $8 \pi \mathrm{a}_0$
4 $4 \pi \mathrm{a}_0$
[JEE Main 2020
Structure of Atom

238819 The energy of a photon is $3 \times 10^{-12} \mathrm{erg}$. What is its wavelength in $\mathrm{nm}$ ?
$\left(h=6.62 \times 10^{-27} \mathrm{erg}-\mathrm{s} ; \mathrm{c}=3 \times 10^{10} \mathrm{~cm} / \mathrm{s}\right)$

1 662
2 1324
3 66.2
4 6.62
Structure of Atom

238820 A dust particle has mass equal to $10^{-11} \mathrm{~g}$, diameter $10^{-4} \mathrm{~cm}$ and velocity $10^{-4} \mathrm{~cm} / \mathrm{s}$. The error in measurement of velocity is $0.1 \%$. What will be the uncertainty in its position?

1 $0.527 \times 10^{10} \mathrm{~cm}$
2 $5.27 \times 10^9 \mathrm{~cm}$
3 $0.527 \times 10^{-15} \mathrm{~cm}$
4 $0.527 \times 10^{-9} \mathrm{~cm}$
JCECE - 2014
Structure of Atom

238821 In an atom, an electron is moving with a speed of $600 \mathrm{~m} / \mathrm{s}$ with an accuracy of $0.005 \%$. Certainty with which the position of the electron can be located is
(Given, h= $\mathrm{h} .6 \times 10^{-34} \mathrm{~kg} \mathrm{~m}^2 \mathrm{~s}^{-1}$, mass of electron $\mathrm{e}_{\mathrm{m}}=9.1 \times 10^{-31} \mathrm{~kg}$ )

1 $2.15 \times 10^{-3} \mathrm{~m}$
2 $2.78 \times 10^{-3} \mathrm{~m}$
3 $1.92 \times 10^{-3} \mathrm{~m}$
4 $3.24 \times 10^{-3} \mathrm{~m}$
JIPMER-2015
Join With Us for More Updates
Structure of Atom

238815 The Heisenberg uncertainty principle may be stated as

1 $\Delta \mathrm{x} . \Delta \mathrm{v}=\mathrm{h}$
2 $\Delta \mathrm{x} \cdot \Delta \mathrm{v}=\mathrm{h} / 4 \pi \mathrm{m}$
3 $\Delta \mathrm{x} . \Delta \mathrm{v} \geq \mathrm{h} / 4 \pi \mathrm{m}$
4 $\Delta \mathrm{x} \cdot \Delta \mathrm{v}=\mathrm{h} / 4 \pi$
WB-JEE-2012
Structure of Atom

238818 The de Broglie wavelength of an electron in the $4^{\text {th }}$ Bohr orbit is

1 $6 \pi \mathrm{a}_0$
2 $2 \pi a_0$
3 $8 \pi \mathrm{a}_0$
4 $4 \pi \mathrm{a}_0$
[JEE Main 2020
Structure of Atom

238819 The energy of a photon is $3 \times 10^{-12} \mathrm{erg}$. What is its wavelength in $\mathrm{nm}$ ?
$\left(h=6.62 \times 10^{-27} \mathrm{erg}-\mathrm{s} ; \mathrm{c}=3 \times 10^{10} \mathrm{~cm} / \mathrm{s}\right)$

1 662
2 1324
3 66.2
4 6.62
Structure of Atom

238820 A dust particle has mass equal to $10^{-11} \mathrm{~g}$, diameter $10^{-4} \mathrm{~cm}$ and velocity $10^{-4} \mathrm{~cm} / \mathrm{s}$. The error in measurement of velocity is $0.1 \%$. What will be the uncertainty in its position?

1 $0.527 \times 10^{10} \mathrm{~cm}$
2 $5.27 \times 10^9 \mathrm{~cm}$
3 $0.527 \times 10^{-15} \mathrm{~cm}$
4 $0.527 \times 10^{-9} \mathrm{~cm}$
JCECE - 2014
Structure of Atom

238821 In an atom, an electron is moving with a speed of $600 \mathrm{~m} / \mathrm{s}$ with an accuracy of $0.005 \%$. Certainty with which the position of the electron can be located is
(Given, h= $\mathrm{h} .6 \times 10^{-34} \mathrm{~kg} \mathrm{~m}^2 \mathrm{~s}^{-1}$, mass of electron $\mathrm{e}_{\mathrm{m}}=9.1 \times 10^{-31} \mathrm{~kg}$ )

1 $2.15 \times 10^{-3} \mathrm{~m}$
2 $2.78 \times 10^{-3} \mathrm{~m}$
3 $1.92 \times 10^{-3} \mathrm{~m}$
4 $3.24 \times 10^{-3} \mathrm{~m}$
JIPMER-2015
For More Updates join with Us
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Structure of Atom

238815 The Heisenberg uncertainty principle may be stated as

1 $\Delta \mathrm{x} . \Delta \mathrm{v}=\mathrm{h}$
2 $\Delta \mathrm{x} \cdot \Delta \mathrm{v}=\mathrm{h} / 4 \pi \mathrm{m}$
3 $\Delta \mathrm{x} . \Delta \mathrm{v} \geq \mathrm{h} / 4 \pi \mathrm{m}$
4 $\Delta \mathrm{x} \cdot \Delta \mathrm{v}=\mathrm{h} / 4 \pi$
WB-JEE-2012
Structure of Atom

238818 The de Broglie wavelength of an electron in the $4^{\text {th }}$ Bohr orbit is

1 $6 \pi \mathrm{a}_0$
2 $2 \pi a_0$
3 $8 \pi \mathrm{a}_0$
4 $4 \pi \mathrm{a}_0$
[JEE Main 2020
Structure of Atom

238819 The energy of a photon is $3 \times 10^{-12} \mathrm{erg}$. What is its wavelength in $\mathrm{nm}$ ?
$\left(h=6.62 \times 10^{-27} \mathrm{erg}-\mathrm{s} ; \mathrm{c}=3 \times 10^{10} \mathrm{~cm} / \mathrm{s}\right)$

1 662
2 1324
3 66.2
4 6.62
Structure of Atom

238820 A dust particle has mass equal to $10^{-11} \mathrm{~g}$, diameter $10^{-4} \mathrm{~cm}$ and velocity $10^{-4} \mathrm{~cm} / \mathrm{s}$. The error in measurement of velocity is $0.1 \%$. What will be the uncertainty in its position?

1 $0.527 \times 10^{10} \mathrm{~cm}$
2 $5.27 \times 10^9 \mathrm{~cm}$
3 $0.527 \times 10^{-15} \mathrm{~cm}$
4 $0.527 \times 10^{-9} \mathrm{~cm}$
JCECE - 2014
Structure of Atom

238821 In an atom, an electron is moving with a speed of $600 \mathrm{~m} / \mathrm{s}$ with an accuracy of $0.005 \%$. Certainty with which the position of the electron can be located is
(Given, h= $\mathrm{h} .6 \times 10^{-34} \mathrm{~kg} \mathrm{~m}^2 \mathrm{~s}^{-1}$, mass of electron $\mathrm{e}_{\mathrm{m}}=9.1 \times 10^{-31} \mathrm{~kg}$ )

1 $2.15 \times 10^{-3} \mathrm{~m}$
2 $2.78 \times 10^{-3} \mathrm{~m}$
3 $1.92 \times 10^{-3} \mathrm{~m}$
4 $3.24 \times 10^{-3} \mathrm{~m}$
JIPMER-2015
NEET DIGITAL LIBRARY
Structure of Atom

238815 The Heisenberg uncertainty principle may be stated as

1 $\Delta \mathrm{x} . \Delta \mathrm{v}=\mathrm{h}$
2 $\Delta \mathrm{x} \cdot \Delta \mathrm{v}=\mathrm{h} / 4 \pi \mathrm{m}$
3 $\Delta \mathrm{x} . \Delta \mathrm{v} \geq \mathrm{h} / 4 \pi \mathrm{m}$
4 $\Delta \mathrm{x} \cdot \Delta \mathrm{v}=\mathrm{h} / 4 \pi$
WB-JEE-2012
Structure of Atom

238818 The de Broglie wavelength of an electron in the $4^{\text {th }}$ Bohr orbit is

1 $6 \pi \mathrm{a}_0$
2 $2 \pi a_0$
3 $8 \pi \mathrm{a}_0$
4 $4 \pi \mathrm{a}_0$
[JEE Main 2020
Structure of Atom

238819 The energy of a photon is $3 \times 10^{-12} \mathrm{erg}$. What is its wavelength in $\mathrm{nm}$ ?
$\left(h=6.62 \times 10^{-27} \mathrm{erg}-\mathrm{s} ; \mathrm{c}=3 \times 10^{10} \mathrm{~cm} / \mathrm{s}\right)$

1 662
2 1324
3 66.2
4 6.62
Structure of Atom

238820 A dust particle has mass equal to $10^{-11} \mathrm{~g}$, diameter $10^{-4} \mathrm{~cm}$ and velocity $10^{-4} \mathrm{~cm} / \mathrm{s}$. The error in measurement of velocity is $0.1 \%$. What will be the uncertainty in its position?

1 $0.527 \times 10^{10} \mathrm{~cm}$
2 $5.27 \times 10^9 \mathrm{~cm}$
3 $0.527 \times 10^{-15} \mathrm{~cm}$
4 $0.527 \times 10^{-9} \mathrm{~cm}$
JCECE - 2014
Structure of Atom

238821 In an atom, an electron is moving with a speed of $600 \mathrm{~m} / \mathrm{s}$ with an accuracy of $0.005 \%$. Certainty with which the position of the electron can be located is
(Given, h= $\mathrm{h} .6 \times 10^{-34} \mathrm{~kg} \mathrm{~m}^2 \mathrm{~s}^{-1}$, mass of electron $\mathrm{e}_{\mathrm{m}}=9.1 \times 10^{-31} \mathrm{~kg}$ )

1 $2.15 \times 10^{-3} \mathrm{~m}$
2 $2.78 \times 10^{-3} \mathrm{~m}$
3 $1.92 \times 10^{-3} \mathrm{~m}$
4 $3.24 \times 10^{-3} \mathrm{~m}$
JIPMER-2015
Join With Us for More Updates
Structure of Atom

238815 The Heisenberg uncertainty principle may be stated as

1 $\Delta \mathrm{x} . \Delta \mathrm{v}=\mathrm{h}$
2 $\Delta \mathrm{x} \cdot \Delta \mathrm{v}=\mathrm{h} / 4 \pi \mathrm{m}$
3 $\Delta \mathrm{x} . \Delta \mathrm{v} \geq \mathrm{h} / 4 \pi \mathrm{m}$
4 $\Delta \mathrm{x} \cdot \Delta \mathrm{v}=\mathrm{h} / 4 \pi$
WB-JEE-2012
Structure of Atom

238818 The de Broglie wavelength of an electron in the $4^{\text {th }}$ Bohr orbit is

1 $6 \pi \mathrm{a}_0$
2 $2 \pi a_0$
3 $8 \pi \mathrm{a}_0$
4 $4 \pi \mathrm{a}_0$
[JEE Main 2020
Structure of Atom

238819 The energy of a photon is $3 \times 10^{-12} \mathrm{erg}$. What is its wavelength in $\mathrm{nm}$ ?
$\left(h=6.62 \times 10^{-27} \mathrm{erg}-\mathrm{s} ; \mathrm{c}=3 \times 10^{10} \mathrm{~cm} / \mathrm{s}\right)$

1 662
2 1324
3 66.2
4 6.62
Structure of Atom

238820 A dust particle has mass equal to $10^{-11} \mathrm{~g}$, diameter $10^{-4} \mathrm{~cm}$ and velocity $10^{-4} \mathrm{~cm} / \mathrm{s}$. The error in measurement of velocity is $0.1 \%$. What will be the uncertainty in its position?

1 $0.527 \times 10^{10} \mathrm{~cm}$
2 $5.27 \times 10^9 \mathrm{~cm}$
3 $0.527 \times 10^{-15} \mathrm{~cm}$
4 $0.527 \times 10^{-9} \mathrm{~cm}$
JCECE - 2014
Structure of Atom

238821 In an atom, an electron is moving with a speed of $600 \mathrm{~m} / \mathrm{s}$ with an accuracy of $0.005 \%$. Certainty with which the position of the electron can be located is
(Given, h= $\mathrm{h} .6 \times 10^{-34} \mathrm{~kg} \mathrm{~m}^2 \mathrm{~s}^{-1}$, mass of electron $\mathrm{e}_{\mathrm{m}}=9.1 \times 10^{-31} \mathrm{~kg}$ )

1 $2.15 \times 10^{-3} \mathrm{~m}$
2 $2.78 \times 10^{-3} \mathrm{~m}$
3 $1.92 \times 10^{-3} \mathrm{~m}$
4 $3.24 \times 10^{-3} \mathrm{~m}$
JIPMER-2015