The period of oscillation of a mass \(M\) suspended from a spring of negligible mass is \(T\). If along with it, another mass \(M\) is also suspended, the period of oscillation will now be:
1. \(T\)
2. \(\frac{T}{\sqrt{2}}\)
3. \(2T\)
4. \(\sqrt{2}T\)

Subtopic:  Spring mass system |
 81%
Level 1: 80%+
AIPMT - 2010
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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:
1. \(\frac{T}{4}\)
2. \(T\)
3. \(\frac{T}{2}\)
4. \(2T\)

Subtopic:  Spring mass system |
 75%
Level 2: 60%+
AIPMT - 2003
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A spring elongates by a length 'L' when a mass 'M' is suspended to it. Now a tiny mass 'm' is attached to the mass 'M' and then released. The new time period of oscillation will be:

1.  \(2 \pi \sqrt{\frac{\left(\right. M   +   m \left.\right) l}{Mg}}\)

2. \(2 \pi \sqrt{\frac{ml}{Mg}}\)

3. \(2 \pi \sqrt{L   /   g}\)

4. \(2 \pi \sqrt{\frac{Ml}{\left(\right. m   +   M \left.\right) g}}\)

Subtopic:  Spring mass system |
 61%
Level 2: 60%+
AIPMT - 1999
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The frequency of a spring is \(n\) after suspending mass \(M.\) Now, after mass \(4M\) mass is suspended from the spring, the frequency will be:
1. \(2n\) 2. \(n/2\)
3. \(n\) 4. none of the above
Subtopic:  Spring mass system |
 83%
Level 1: 80%+
AIPMT - 1998
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