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Two springs in horizontal spring mass systems have spring constants in the ratio 2:3. By what ratio should they be extended from their mean positions so that they have the same value of maximum speed? The masses of blocks are the same in both cases.(a) 3/2(b) √3 / √2(c) 9/4(d) 4/9I have been asked this question by my school teacher while I was bunking the class.I'm obligated to ask this question of Oscillations in chapter Oscillations of Physics – Class 11

Answer»

The CORRECT CHOICE is (B) √3 / √2

Explanation: w = √(k/m), Maximum SPEED = Aw.According to question: A1w1 = A2w2.Their extensions from mean positions will be their amplitudes.

A1/A2 = w2/w1

= √k2/√k1

= √3 / √2.



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