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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