TS EAMCET · Physics · Oscillations
A clock is designed based on the oscillations of a springblock system suspended vertically in the absense of air-resistance. Assume it shows the correct time when a spring of stiffness ' \(\mathrm{k}\) ' and block of mass ' \(\mathrm{m}\) ' are used. If the block is replaced by another block of mass \(4 \mathrm{~m}\), choose the correct option.
- A The clock runs slow by \(0.5 \mathrm{~s}\) for every one second
- B The clock runs fast by \(0.5 \mathrm{~s}\) for every one second
- C The clock runs fast by \(1 \mathrm{~s}\) for every one second
- D The clock runs slow by 1 s for every one second
Answer & Solution
Correct Answer
(A) The clock runs slow by \(0.5 \mathrm{~s}\) for every one second
Step-by-step Solution
Detailed explanation
Time period of a spring block system is given by \[ \mathrm{T}=2 \pi \sqrt{\frac{\mathrm{m}}{\mathrm{k}}} \] If block of mass " \(\mathrm{m}\) " is replaced by block of mass " \(4 \mathrm{~m}\) ", then time period is given by…
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