A Vertical Spring Is Stretched By 3 Cm When A Load Of 3 Kg Is Attached To It. What Will Be The Period Of Oscillation Of Spring When A Load Of 2.45 Kg Is Attached To It? (a) 0.415 S (b) 0.315 S (c) 0.215 S (d) 0.115 S
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the time period of the oscillation is option B) 0.315 s
Explanation:
By hook's law
L∝ F
=>L₂/L₁ = F₂/F₁
=> l/3 = 2.45/3
=> l = 2.45 cm = 0.0245m
We know that the Time period is given by,
T = 2π√(l/g)
=> T = 2 x 3.14 x √(0.0245/9.8)
= 2 x 3.14 x 0.05
= 0.314s ≅ 0.315 s
Hence the time period of the oscillation is option B) 0.315 s
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