KVPY SX SB Exam 05-Nov-2017 Question Paper

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Question : 21 of 120

Marks: +1, -0

Physics

The magnitude of acceleration of the electron in the n

^{\th}

orbit of hydrogen atom is

a_H

and that of singly ionized helium atom is

a_\He

. The ratio

a_H : a_\He

is

1 : 8
1 : 4
1 : 2
dependent on n

Solution:

r∝1/z

& v ∝ z
∴ according

(v^2/r)∝z^2×1/(1\/z)=z^3

a_H / a_\He=( z_H/ z_\He )^3=(1/2)^3=1/8

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