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Standard XI
Physics
Oscillations Due to Spring
Question

A particle at the end of a spring executes simple harmonic motion with a period $$t _ { 1 },$$ while the corresponding period for another spring is $$t _ { 2 }$$ If the period of oscillation with the two springs in series is $$T,$$ then

A
$$T ^ { a } = t _ { 1 } ^ { a } + t _ { 2 } ^ { a }$$
B
$$T ^ { -2 } = t _ { 1 } ^ { - 2 } + t _ { 2 } ^ { - 2 }$$
C
$$T = t _ { 1 } + t _ { 2 }$$
D
$$T ^ { -1 } = t _ { 1 } ^ { -1 } + t _ { 2 } ^ { -1 }$$
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Solution
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Correct option is B. $$T ^ { a } = t _ { 1 } ^ { a } + t _ { 2 } ^ { a }$$

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