Assume that the radius of the first Bohr orbit of hydrogen atom is 0.6 mathringA. The radius of the third Bohr orbit of He + is picometer. (Nearest Integer)

Question

Assume that the radius of the first Bohr orbit of hydrogen atom is 0.6 mathringA. The radius of the third Bohr orbit of He + is picometer. (Nearest Integer) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

r propto ( n 2/ Z ) r He + = r H × ( n 2/ Z ) r He + =0.6 × ((3)2/2) =2.7 mathringA r He + =270 pm

Q. Assume that the radius of the first Bohr orbit of hydrogen atom is $0.6 \overset{˚}{A}$ . The radius of the third Bohr orbit of $H e^{+}$ is ___ picometer. (Nearest Integer)

$r \propto \frac{n ^{2}}{Z}$
$r_{H e^{+}} = r_{H} \times \frac{n ^{2}}{Z}$
$r_{H e^{+}} = 0.6 \times \frac{( 3 ) ^{2}}{2}$
$= 2.7 \overset{˚}{A}$
$r_{H e^{+}} = 270 p m$

Q. Assume that the radius of the first Bohr orbit of hydrogen atom is 0.6A˚. The radius of the third Bohr orbit of He+ is ___ picometer. (Nearest Integer)

r∝Zn2​ rHe+​=rH​×Zn2​ rHe+​=0.6×2(3)2​ =2.7A˚ rHe+​=270pm

Q. Assume that the radius of the first Bohr orbit of hydrogen atom is $0.6 \overset{˚}{A}$ . The radius of the third Bohr orbit of $H e^{+}$ is ___ picometer. (Nearest Integer)

$r \propto \frac{n ^{2}}{Z}$
$r_{H e^{+}} = r_{H} \times \frac{n ^{2}}{Z}$
$r_{H e^{+}} = 0.6 \times \frac{( 3 ) ^{2}}{2}$
$= 2.7 \overset{˚}{A}$
$r_{H e^{+}} = 270 p m$