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Show that motion of mass attached to a spring executes S.H.M.

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Question From class 11 Chapter OSCILLATIONS AND WAVES

A mass

attached to a horizontal spring executes

with an amplitude

. When mass

passes through its mean position a smaller mass

is placed over it and both of them move togther with amplitude

. Ratio of

is:

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Text Solution

Answer :

C

Solution :

When mass

attached to a horizontal spring executes S.H.M., its frequency of oscillation is <br>

…(i) <br> When a smaller mass

is placed over mass

, the frequency of oscillation is <br>

...(ii) <br> According to law of conservation of linear momentum <br>

<br> or

<br> or

<br>

<br>