JEE Main 2022 · 26 Jul · Shift 2 · Physics Q60

← JEE Main 2022 · 26 Jul · Shift 2

PhysicsInteger+4 / -1Question 60 of 90

As per given figures, two springs of spring constants $k$ and $2k$ are connected to mass $m$ . If the period of oscillation in figure (a) is 3 s, then the period of oscillation in figure (b) will be $\sqrt x$ s. The value of $x$ is ______.

Figure (a): springs k and 2k joined in series hanging from the ceiling with mass m at the bottom. Figure (b): springs k and 2k side by side (parallel) from the ceiling, both holding mass m.

Your answer

Answer and worked solution

Official answer: 2

(a) series: $k_s=\frac{2k}3$ , $T_a=2\pi\sqrt{\frac{3m}{2k}}=3$ s.

(b) parallel: $k_p=3k$ , $T_b=2\pi\sqrt{\frac m{3k}}=T_a\sqrt{\frac29}=\sqrt2$ s.

Answer: 2

Topics:Spring-mass systems

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JEE Main 2022 · 26 Jul · Shift 2, Physics question 60