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13.Oscillations
easy
In arrangement given in figure, if the block of mass m is displaced, the frequency is given by

A
$n = \frac{1}{{2\pi }}\sqrt {\left( {\frac{{{k_1} - {k_2}}}{m}} \right)} $
B
$n = \frac{1}{{2\pi }}\sqrt {\left( {\frac{{{k_1} + {k_2}}}{m}} \right)} $
C
$n = \frac{1}{{2\pi }}\sqrt {\left( {\frac{m}{{{k_1} + {k_2}}}} \right)} $
D
$n = \frac{1}{{2\pi }}\sqrt {\left( {\frac{m}{{{k_1} - {k_2}}}} \right)} $
Solution
(b)With respect to the block the springs are connected in parallel combination.
$\therefore $ Combined stiffness $k = k_1+ k_2$ and $n = \frac{1}{{2\pi }}\sqrt {\frac{{{k_1} + {k_2}}}{m}} $
Standard 11
Physics
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