Oscillations - Result Question 47

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51. The time period of a mass suspended from a spring is $T$. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be

======= ####51. The time period of a mass suspended from a spring is $T$. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/oscillations/oscillations—result-question-47.md (a) $2 T$

(b) $\frac{T}{4}$

(c) 2

(d) $\frac{T}{2}$

[2003]

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Answer:

Correct Answer: 51. (d)

Solution:

(d) $T=2 \pi \sqrt{\frac{m}{k}}$

When a spring is cut into $n$ parts

Spring constant for each part $=n k$

Here, $n=4$

$T_1=2 \pi \sqrt{\frac{m}{4 k}}=\frac{T}{2}$