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Two springs, of force constants k1 and k2 are connected to a mass m as shown. The frequency of oscillation of the mass is f. If both k1 and k2 are made four times their original values, the frequency of oscillation becomes
  • a)
    2 f
  • b)
    f /2
  • c)
    f /4
  • d)
    4 f
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two springs, of force constants k1 and k2 are connected to a mass m as...
The two springs are in parallel.
∴ Effective spring constant, k = k1 + k2 Now, frequency of oscillation is given by


When both k1 and k2 are made four times their original values, the new frequency is given by

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Two springs, of force constants k1 and k2 are connected to a mass m as shown. The frequency of oscillation of the mass is f. If both k1 and k2 are made four times their original values, the frequency of oscillation becomesa)2 fb)f /2c)f /4d)4 fCorrect answer is option 'A'. Can you explain this answer?
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