Q. In a mass-spring system, if the spring constant is quadrupled, the time period will:

द्रव्यमान-स्प्रिंग प्रणाली में, यदि स्प्रिंग स्थिरांक को चौगुना कर दिया जाए, तो समय अवधि होगी:

Double
दोहरा

Halve
आधा करना

Remain the same
एक ही रहेगा

Decrease by a factor of 2√2
2√2 के कारक से कमी

Time period $T = 2\pi \sqrt{\frac{m}{k}}$

If $k$ becomes $4k$ , then:

T = 2\pi \sqrt{\frac{m}{4k}} = \frac{1}{2} \cdot 2\pi \sqrt{\frac{m}{k}} = \frac{T}{2}

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