Physics
GATE PH concept:normal-modes PYQs
Build your understanding with focused practice from past exam papers.
How to practice concept:normal-modes
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–2 of 2. Imported answers require independent review unless marked reviewed.
Question 64
Open questionPHNAT2 marksNeeds review
Two 1 kg blocks are connected to two massless springs of spring constants 8 N.m
and 4 N.m
. The system is kept on a frictionless horizontal floor with one end of a spring attached to a wall (see figure below). They are performing oscillatory motion along the
-axis with the normal mode frequencies
and
(
). The ratio
(rounded off to two decimal places) is _____. 
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Open questionPHMCQ2 marksNeeds review
The figure shows a system of two equal masses
and three massless horizontal springs with spring constants
. Ignore gravity. The masses can move only in the horizontal direction and there is no dissipation. If
,
and
(all in appropriate units), the frequencies of the normal modes of the system in the same system of units are 
Your answerChoose one option.
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