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13.Oscillations
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Two springs of force constants $K$ and $2K$ are connected to a mass as shown below. The frequency of oscillation of the mass is
A
$(1/2\pi )\sqrt {(K/m)} $
B
$(1/2\pi )\sqrt {(2K/m)} $
C
$(1/2\pi )\sqrt {(3K/m)} $
D
$(1/2\pi )\sqrt {(m/K)} $
(AIIMS-2003)
Solution
(c) $n = \frac{1}{{2\pi }}\sqrt {\frac{{{K_{effective}}}}{m}} = \frac{1}{{2\pi }}\sqrt {\frac{{(K + 2K)}}{m}} $=$\frac{1}{{2\pi }}\sqrt {\frac{{3K}}{m}} $
Standard 11
Physics
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