Two pendulums of length 121cm and 100cm start vibrating in phase. At some instant, the two are at their mean position in the same phase. The minimum number of vibrations of the shorter pendulum after which the two are again in phase at the mean position is :

<p> (n) <span class="mathml" contenteditable="false"> <math> <mo> (</mo> <mn>1.1</mn> <mo>)</mo> <mo>=</mo> <mo> (</mo> <mi mathvariant="normal">n</mi> <mo>+</mo> <mn>1</mn> <mo>)</mo> </math> </span></p><p><span class="mathml" contenteditable="false"> <math> <mn>0.1</mn> <mo> (</mo> <mi mathvariant="normal">n</mi> <mo>)</mo> <mo>=</mo> <mn>1</mn> </math> </span></p><p><span class="mathml" contenteditable="false"> <math> <mi mathvariant="normal">n</mi> <mo>=</mo> <mn>10</mn> </math> </span></p><p>Required number of oscillation <span class="mathml" contenteditable="false"> <math> <mo>=</mo> <mi>n</mi> <mo>+</mo> <mn>1</mn> <mo>=</mo> <mn>10</mn> <mo>+</mo> <mn>1</mn> <mo>=</mo> <mn>11</mn> </math> </span></p>

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