SATHEE: Oscillations - Result Question 47

Oscillations - Result Question 47

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

(a) $2 T$

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

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

[2003]

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Answer:

Correct Answer: 51. (d)

Solution:

(d) $T = 2 π \sqrt{\frac{m}{k}}$

When a spring is cut into $n$ parts

Spring constant for each part $= n k$

Here, $n = 4$

$T_{1} = 2 π \sqrt{\frac{m}{4 k}} = \frac{T}{2}$

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Oscillations - Result Question 47

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

Answer:

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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