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Q. No.A spring of unstretched length \(l\) has a force constant \(k.\) The spring is cut into two parts of unstretched lengths \(l_1\) and \(l_2,\) where \(l_1=nl_2\) and \(n\) is an integer. If the force constants of the two parts are \(k_1\) and \(k_2,\) what is the ratio \(\dfrac{k_1}{k_2} \text{?}\)
1. \(\dfrac{1}{n^2}\)
2. \(\dfrac{1}{n}\)
3. \(n^2\)
4. \(n\)
Subtopic: Combination of Springs |
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If two identical springs, each with a spring constant \(k,\) are connected in series, the new spring constant and time period will change by a factor of:
| 1. | \( \dfrac{1}{2},~ \sqrt{2} \) | 2. | \( \dfrac{1}{4},~ \sqrt{2} \) |
| 3. | \( \dfrac{1}{4},~ 2 \sqrt{2} \) | 4. | \( \dfrac{1}{2},~ 2 \sqrt{2} \) |
Subtopic: Combination of Springs |
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Level 1: 80%+
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As per the given figures, two springs of spring constants \(k\) and \(2k\) are connected to mass \(m.\) If the period of oscillation in figure \((a)\) is \(3~\text s,\) then the period of oscillation in figure \((b)\) is \(\sqrt x ~\text s.\) The value of \(x \) is:
1. \(3\)
2. \(4\)
3. \(2\)
4. \(1\)
1. \(3\)
2. \(4\)
3. \(2\)
4. \(1\)
Subtopic: Combination of Springs |
80%
Level 1: 80%+
JEE
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Q. No.
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