Miscellaneous Problems on Atoms
PHXII12:ATOMS

356542 If elements with principal quantum number \(n>4\) were not allowed in nature, then the number of possible elements would be

1 32
2 60
3 18
4 4
PHXII12:ATOMS

356543 Assertion :
\(\alpha \) and \(\beta \) particles are accelerated through same potential difference. Finally both particles have same linear momentum.
Reason :
Linear momentum \( = \sqrt {KE \times 2 \times mass} \)

1 Both assertion and reason are correct and reason is the correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII12:ATOMS

356544 If the electron in hydrogen atom jumps from second Bohr orbit to ground state and difference between energies of the two states is radiated in the form of photons. If the work function of the material is 4.2\(eV\), then stopping potential is
[energy of electron in \({n^{th}}\) orbit \( = - \frac{{13.6}}{{{n^2}}}eV\)]

1 \(2\,V\)
2 \(4\,V\)
3 \(6V\)
4 \(8V\)
PHXII12:ATOMS

356545 The radiation corresponding to \(3 \to 2\) transition of hydrogen atom falls on a metal surface to produce photoelectrons. These electrons are made to enter a magnetic field of \(3 \times {10^{ - 4}}T.\) If the radius of the largest circular path followed by these electrons is \(10.0\,mm\), the work function of the metal is close to :

1 \(3.1\,eV\)
2 \(2.1\,eV\)
3 \(1.1\,eV\)
4 \(0.7\,eV\)
PHXII12:ATOMS

356546 The specific charge of a proton is \(9.6 \times {10^7}C\,\,k{g^{ - 1}}\). The specific charge of an alpha particle will be

1 \(9.6 \times {10^7}C\,\,k{g^{ - 1}}\)
2 \(19.2 \times {10^7}C\,k{g^{ - 1}}\)
3 \(4.8 \times {10^7}C\,k{g^{ - 1}}\)
4 \(2.4 \times {10^7}C\,k{g^{ - 1}}\)
PHXII12:ATOMS

356542 If elements with principal quantum number \(n>4\) were not allowed in nature, then the number of possible elements would be

1 32
2 60
3 18
4 4
PHXII12:ATOMS

356543 Assertion :
\(\alpha \) and \(\beta \) particles are accelerated through same potential difference. Finally both particles have same linear momentum.
Reason :
Linear momentum \( = \sqrt {KE \times 2 \times mass} \)

1 Both assertion and reason are correct and reason is the correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII12:ATOMS

356544 If the electron in hydrogen atom jumps from second Bohr orbit to ground state and difference between energies of the two states is radiated in the form of photons. If the work function of the material is 4.2\(eV\), then stopping potential is
[energy of electron in \({n^{th}}\) orbit \( = - \frac{{13.6}}{{{n^2}}}eV\)]

1 \(2\,V\)
2 \(4\,V\)
3 \(6V\)
4 \(8V\)
PHXII12:ATOMS

356545 The radiation corresponding to \(3 \to 2\) transition of hydrogen atom falls on a metal surface to produce photoelectrons. These electrons are made to enter a magnetic field of \(3 \times {10^{ - 4}}T.\) If the radius of the largest circular path followed by these electrons is \(10.0\,mm\), the work function of the metal is close to :

1 \(3.1\,eV\)
2 \(2.1\,eV\)
3 \(1.1\,eV\)
4 \(0.7\,eV\)
PHXII12:ATOMS

356546 The specific charge of a proton is \(9.6 \times {10^7}C\,\,k{g^{ - 1}}\). The specific charge of an alpha particle will be

1 \(9.6 \times {10^7}C\,\,k{g^{ - 1}}\)
2 \(19.2 \times {10^7}C\,k{g^{ - 1}}\)
3 \(4.8 \times {10^7}C\,k{g^{ - 1}}\)
4 \(2.4 \times {10^7}C\,k{g^{ - 1}}\)
PHXII12:ATOMS

356542 If elements with principal quantum number \(n>4\) were not allowed in nature, then the number of possible elements would be

1 32
2 60
3 18
4 4
PHXII12:ATOMS

356543 Assertion :
\(\alpha \) and \(\beta \) particles are accelerated through same potential difference. Finally both particles have same linear momentum.
Reason :
Linear momentum \( = \sqrt {KE \times 2 \times mass} \)

1 Both assertion and reason are correct and reason is the correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII12:ATOMS

356544 If the electron in hydrogen atom jumps from second Bohr orbit to ground state and difference between energies of the two states is radiated in the form of photons. If the work function of the material is 4.2\(eV\), then stopping potential is
[energy of electron in \({n^{th}}\) orbit \( = - \frac{{13.6}}{{{n^2}}}eV\)]

1 \(2\,V\)
2 \(4\,V\)
3 \(6V\)
4 \(8V\)
PHXII12:ATOMS

356545 The radiation corresponding to \(3 \to 2\) transition of hydrogen atom falls on a metal surface to produce photoelectrons. These electrons are made to enter a magnetic field of \(3 \times {10^{ - 4}}T.\) If the radius of the largest circular path followed by these electrons is \(10.0\,mm\), the work function of the metal is close to :

1 \(3.1\,eV\)
2 \(2.1\,eV\)
3 \(1.1\,eV\)
4 \(0.7\,eV\)
PHXII12:ATOMS

356546 The specific charge of a proton is \(9.6 \times {10^7}C\,\,k{g^{ - 1}}\). The specific charge of an alpha particle will be

1 \(9.6 \times {10^7}C\,\,k{g^{ - 1}}\)
2 \(19.2 \times {10^7}C\,k{g^{ - 1}}\)
3 \(4.8 \times {10^7}C\,k{g^{ - 1}}\)
4 \(2.4 \times {10^7}C\,k{g^{ - 1}}\)
PHXII12:ATOMS

356542 If elements with principal quantum number \(n>4\) were not allowed in nature, then the number of possible elements would be

1 32
2 60
3 18
4 4
PHXII12:ATOMS

356543 Assertion :
\(\alpha \) and \(\beta \) particles are accelerated through same potential difference. Finally both particles have same linear momentum.
Reason :
Linear momentum \( = \sqrt {KE \times 2 \times mass} \)

1 Both assertion and reason are correct and reason is the correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII12:ATOMS

356544 If the electron in hydrogen atom jumps from second Bohr orbit to ground state and difference between energies of the two states is radiated in the form of photons. If the work function of the material is 4.2\(eV\), then stopping potential is
[energy of electron in \({n^{th}}\) orbit \( = - \frac{{13.6}}{{{n^2}}}eV\)]

1 \(2\,V\)
2 \(4\,V\)
3 \(6V\)
4 \(8V\)
PHXII12:ATOMS

356545 The radiation corresponding to \(3 \to 2\) transition of hydrogen atom falls on a metal surface to produce photoelectrons. These electrons are made to enter a magnetic field of \(3 \times {10^{ - 4}}T.\) If the radius of the largest circular path followed by these electrons is \(10.0\,mm\), the work function of the metal is close to :

1 \(3.1\,eV\)
2 \(2.1\,eV\)
3 \(1.1\,eV\)
4 \(0.7\,eV\)
PHXII12:ATOMS

356546 The specific charge of a proton is \(9.6 \times {10^7}C\,\,k{g^{ - 1}}\). The specific charge of an alpha particle will be

1 \(9.6 \times {10^7}C\,\,k{g^{ - 1}}\)
2 \(19.2 \times {10^7}C\,k{g^{ - 1}}\)
3 \(4.8 \times {10^7}C\,k{g^{ - 1}}\)
4 \(2.4 \times {10^7}C\,k{g^{ - 1}}\)
PHXII12:ATOMS

356542 If elements with principal quantum number \(n>4\) were not allowed in nature, then the number of possible elements would be

1 32
2 60
3 18
4 4
PHXII12:ATOMS

356543 Assertion :
\(\alpha \) and \(\beta \) particles are accelerated through same potential difference. Finally both particles have same linear momentum.
Reason :
Linear momentum \( = \sqrt {KE \times 2 \times mass} \)

1 Both assertion and reason are correct and reason is the correct explanation of assertion.
2 Both assertion and reason are correct but reason is not the correct explanation of assertion.
3 Assertion is correct but reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII12:ATOMS

356544 If the electron in hydrogen atom jumps from second Bohr orbit to ground state and difference between energies of the two states is radiated in the form of photons. If the work function of the material is 4.2\(eV\), then stopping potential is
[energy of electron in \({n^{th}}\) orbit \( = - \frac{{13.6}}{{{n^2}}}eV\)]

1 \(2\,V\)
2 \(4\,V\)
3 \(6V\)
4 \(8V\)
PHXII12:ATOMS

356545 The radiation corresponding to \(3 \to 2\) transition of hydrogen atom falls on a metal surface to produce photoelectrons. These electrons are made to enter a magnetic field of \(3 \times {10^{ - 4}}T.\) If the radius of the largest circular path followed by these electrons is \(10.0\,mm\), the work function of the metal is close to :

1 \(3.1\,eV\)
2 \(2.1\,eV\)
3 \(1.1\,eV\)
4 \(0.7\,eV\)
PHXII12:ATOMS

356546 The specific charge of a proton is \(9.6 \times {10^7}C\,\,k{g^{ - 1}}\). The specific charge of an alpha particle will be

1 \(9.6 \times {10^7}C\,\,k{g^{ - 1}}\)
2 \(19.2 \times {10^7}C\,k{g^{ - 1}}\)
3 \(4.8 \times {10^7}C\,k{g^{ - 1}}\)
4 \(2.4 \times {10^7}C\,k{g^{ - 1}}\)