A) 1 : 10
B) \[1:{{10}^{2}}\]
C) \[1:{{10}^{3}}\]
D) \[1:{{10}^{4}}\]
Correct Answer: B
Solution :
Acceleration of simple harmonic motion is \[{{a}_{\max }}=-{{\omega }^{2}}A\] or\[\frac{{{({{a}_{\max }})}_{1}}}{{{({{a}_{\max }})}_{2}}}=\frac{\omega _{1}^{2}}{\omega _{2}^{2}}\](as A remains same) or\[\frac{{{({{a}_{\max }})}_{1}}}{{{({{a}_{\max }})}_{2}}}=\frac{{{(100)}^{2}}}{{{(1000)}^{2}}}={{\left( \frac{1}{10} \right)}^{2}}=1:{{10}^{2}}\]
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