Four massless springs whose force constants are 2k, 2k, k and 2k respectively are attached to a mass M kept on a frictionless plane (as shown in figure). If the mass M is displaced in the horizontal direction. A. `(1)/(2pi)sqrt((k)/(M))`B. `(1)/(2pi)sqrt((4k)/(M))`C. `(1)/(2pi)sqrt((k)/(7M))`D. `(1)/(2pi)sqrt((7k)/(M))`

Four massless springs whose force constants are 2k, 2k, k and 2k respe

1.	Four massless springs whose force constants are 2k, 2k, k and 2k respectively are attached to a mass M kept on a frictionless plane (as shown in figure). If the mass M is displaced in the horizontal direction. A. `(1)/(2pi)sqrt((k)/(M))`B. `(1)/(2pi)sqrt((4k)/(M))`C. `(1)/(2pi)sqrt((k)/(7M))`D. `(1)/(2pi)sqrt((7k)/(M))`
Answer» Correct Answer - B `k_(eq) = 2k + k + (2k xx 2k)/(2k + 2k) = 4k` so, frequency, `f = (1)/(2pi) sqrt(K_(eq))/(M) = (1)/(2pi)sqrt(4K)/(M)`

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