Bohr Model of the Hydrogen Atom
PHXII12:ATOMS

356382 The radius of electron's second stationary orbit in Bohr's atom is \(R\). The radius of \(3^{\text {rd }}\) orbit will be

1 \(\dfrac{R}{3}\)
2 \(9 R\)
3 \(2.25 R\)
4 \(3 R\)
PHXII12:ATOMS

356383 If the radius of the first Bohr's orbit is \(x\), then de-Broglie wavelength of electron in 3rd orbit is nearly:

1 \(2\,\pi x\)
2 \(6\,\pi x\)
3 \(9\,x\)
4 \(x / 3\)
PHXII12:ATOMS

356384 When electron jumps from \(n = 4\) level to \(n = 1\) level, the angular momentum of electron changes by

1 \(\frac{h}{{2\pi }}\)
2 \(\frac{{2h}}{{2\pi }}\)
3 \(\frac{{3h}}{{2\pi }}\)
4 \(\frac{{4h}}{{2\pi }}\)
PHXII12:ATOMS

356385 Orbital acceleration of electron is

1 \(\frac{{4{n^2}{h^2}}}{{{\pi ^2}{m^2}{r^3}}}\)
2 \(\frac{{{n^2}{h^2}}}{{4{\pi ^2}{m^2}{r^3}}}\)
3 \(\frac{{4{n^2}{h^2}}}{{4{\pi ^2}{m^2}{r^3}}}\)
4 \(\frac{{{n^2}{h^2}}}{{2{n^2}{r^3}}}\)
PHXII12:ATOMS

356386 Angular momentum of an electron in hydrogen atom is \(3h/2\pi \) ( \(h\) is the planck’s constant). The \(K\).\(E\). of the electron is

1 \(3.4\,eV\)
2 \(6.8\,eV\)
3 \(4.35\,eV\)
4 \(1.51\,eV\)
PHXII12:ATOMS

356382 The radius of electron's second stationary orbit in Bohr's atom is \(R\). The radius of \(3^{\text {rd }}\) orbit will be

1 \(\dfrac{R}{3}\)
2 \(9 R\)
3 \(2.25 R\)
4 \(3 R\)
PHXII12:ATOMS

356383 If the radius of the first Bohr's orbit is \(x\), then de-Broglie wavelength of electron in 3rd orbit is nearly:

1 \(2\,\pi x\)
2 \(6\,\pi x\)
3 \(9\,x\)
4 \(x / 3\)
PHXII12:ATOMS

356384 When electron jumps from \(n = 4\) level to \(n = 1\) level, the angular momentum of electron changes by

1 \(\frac{h}{{2\pi }}\)
2 \(\frac{{2h}}{{2\pi }}\)
3 \(\frac{{3h}}{{2\pi }}\)
4 \(\frac{{4h}}{{2\pi }}\)
PHXII12:ATOMS

356385 Orbital acceleration of electron is

1 \(\frac{{4{n^2}{h^2}}}{{{\pi ^2}{m^2}{r^3}}}\)
2 \(\frac{{{n^2}{h^2}}}{{4{\pi ^2}{m^2}{r^3}}}\)
3 \(\frac{{4{n^2}{h^2}}}{{4{\pi ^2}{m^2}{r^3}}}\)
4 \(\frac{{{n^2}{h^2}}}{{2{n^2}{r^3}}}\)
PHXII12:ATOMS

356386 Angular momentum of an electron in hydrogen atom is \(3h/2\pi \) ( \(h\) is the planck’s constant). The \(K\).\(E\). of the electron is

1 \(3.4\,eV\)
2 \(6.8\,eV\)
3 \(4.35\,eV\)
4 \(1.51\,eV\)
PHXII12:ATOMS

356382 The radius of electron's second stationary orbit in Bohr's atom is \(R\). The radius of \(3^{\text {rd }}\) orbit will be

1 \(\dfrac{R}{3}\)
2 \(9 R\)
3 \(2.25 R\)
4 \(3 R\)
PHXII12:ATOMS

356383 If the radius of the first Bohr's orbit is \(x\), then de-Broglie wavelength of electron in 3rd orbit is nearly:

1 \(2\,\pi x\)
2 \(6\,\pi x\)
3 \(9\,x\)
4 \(x / 3\)
PHXII12:ATOMS

356384 When electron jumps from \(n = 4\) level to \(n = 1\) level, the angular momentum of electron changes by

1 \(\frac{h}{{2\pi }}\)
2 \(\frac{{2h}}{{2\pi }}\)
3 \(\frac{{3h}}{{2\pi }}\)
4 \(\frac{{4h}}{{2\pi }}\)
PHXII12:ATOMS

356385 Orbital acceleration of electron is

1 \(\frac{{4{n^2}{h^2}}}{{{\pi ^2}{m^2}{r^3}}}\)
2 \(\frac{{{n^2}{h^2}}}{{4{\pi ^2}{m^2}{r^3}}}\)
3 \(\frac{{4{n^2}{h^2}}}{{4{\pi ^2}{m^2}{r^3}}}\)
4 \(\frac{{{n^2}{h^2}}}{{2{n^2}{r^3}}}\)
PHXII12:ATOMS

356386 Angular momentum of an electron in hydrogen atom is \(3h/2\pi \) ( \(h\) is the planck’s constant). The \(K\).\(E\). of the electron is

1 \(3.4\,eV\)
2 \(6.8\,eV\)
3 \(4.35\,eV\)
4 \(1.51\,eV\)
PHXII12:ATOMS

356382 The radius of electron's second stationary orbit in Bohr's atom is \(R\). The radius of \(3^{\text {rd }}\) orbit will be

1 \(\dfrac{R}{3}\)
2 \(9 R\)
3 \(2.25 R\)
4 \(3 R\)
PHXII12:ATOMS

356383 If the radius of the first Bohr's orbit is \(x\), then de-Broglie wavelength of electron in 3rd orbit is nearly:

1 \(2\,\pi x\)
2 \(6\,\pi x\)
3 \(9\,x\)
4 \(x / 3\)
PHXII12:ATOMS

356384 When electron jumps from \(n = 4\) level to \(n = 1\) level, the angular momentum of electron changes by

1 \(\frac{h}{{2\pi }}\)
2 \(\frac{{2h}}{{2\pi }}\)
3 \(\frac{{3h}}{{2\pi }}\)
4 \(\frac{{4h}}{{2\pi }}\)
PHXII12:ATOMS

356385 Orbital acceleration of electron is

1 \(\frac{{4{n^2}{h^2}}}{{{\pi ^2}{m^2}{r^3}}}\)
2 \(\frac{{{n^2}{h^2}}}{{4{\pi ^2}{m^2}{r^3}}}\)
3 \(\frac{{4{n^2}{h^2}}}{{4{\pi ^2}{m^2}{r^3}}}\)
4 \(\frac{{{n^2}{h^2}}}{{2{n^2}{r^3}}}\)
PHXII12:ATOMS

356386 Angular momentum of an electron in hydrogen atom is \(3h/2\pi \) ( \(h\) is the planck’s constant). The \(K\).\(E\). of the electron is

1 \(3.4\,eV\)
2 \(6.8\,eV\)
3 \(4.35\,eV\)
4 \(1.51\,eV\)
PHXII12:ATOMS

356382 The radius of electron's second stationary orbit in Bohr's atom is \(R\). The radius of \(3^{\text {rd }}\) orbit will be

1 \(\dfrac{R}{3}\)
2 \(9 R\)
3 \(2.25 R\)
4 \(3 R\)
PHXII12:ATOMS

356383 If the radius of the first Bohr's orbit is \(x\), then de-Broglie wavelength of electron in 3rd orbit is nearly:

1 \(2\,\pi x\)
2 \(6\,\pi x\)
3 \(9\,x\)
4 \(x / 3\)
PHXII12:ATOMS

356384 When electron jumps from \(n = 4\) level to \(n = 1\) level, the angular momentum of electron changes by

1 \(\frac{h}{{2\pi }}\)
2 \(\frac{{2h}}{{2\pi }}\)
3 \(\frac{{3h}}{{2\pi }}\)
4 \(\frac{{4h}}{{2\pi }}\)
PHXII12:ATOMS

356385 Orbital acceleration of electron is

1 \(\frac{{4{n^2}{h^2}}}{{{\pi ^2}{m^2}{r^3}}}\)
2 \(\frac{{{n^2}{h^2}}}{{4{\pi ^2}{m^2}{r^3}}}\)
3 \(\frac{{4{n^2}{h^2}}}{{4{\pi ^2}{m^2}{r^3}}}\)
4 \(\frac{{{n^2}{h^2}}}{{2{n^2}{r^3}}}\)
PHXII12:ATOMS

356386 Angular momentum of an electron in hydrogen atom is \(3h/2\pi \) ( \(h\) is the planck’s constant). The \(K\).\(E\). of the electron is

1 \(3.4\,eV\)
2 \(6.8\,eV\)
3 \(4.35\,eV\)
4 \(1.51\,eV\)