Student Login

Home›Chapters›Oscillations PYQs›Spring Systems›Question 33

MHT CET 2025 (5 May, Shift 2) · Spring Systems

Spring Systems question from MHT CET 2025 (5 May, Shift 2)

Q33MHT CET 2025 · 5 MAY · SHIFT 2Medium

Spring Systems

All the springs in fig. (a), (b) and (c) are identical, each having force constant K each. Mass m is attached to each system. If $T_a, T_b$ and $T_c$ are the time periods of oscillations of the three systems in fig. (a), (b) and (c) respectively, then

Show answer and solution

Answer: (d)

(a) single spring: $T_a = 2\pi\sqrt{m/K}$ .
(b) series, $K/2$ : $T_b = \sqrt{2}\,T_a$ . (c) parallel, $2K$ : $T_c = T_a/\sqrt{2}$ .
$T_b/T_c = 2$ , so $T_b = 2T_c$ .
So the answer is (d).

Report a mistake

More questions on Spring Systems

As shown in the figure, S₁ and S₂ are identical springs with spring constant K each. The…MHT CET 2025 (25 Apr, Shift 2)
A mass ' M ' attached to a horizontal spring executes S.H.M. of amplitude A₁. When the…MHT CET 2025 (26 Apr, Shift 2)
Two blocks of masses m and M, (M > m), are placed on a frictionless table as shown in…JEE Main 2025 (3 Apr, Shift 1)
A spring has a certain mass suspended from it and its period of vertical oscillations is…MHT CET 2024 (2 May, Shift 2)
A mass m is suspended from a spring of negligible mass and the system oscillates with a…JEE Main 2024 (1 Feb, Shift 2)
Two bodies A and B of equal mass are suspended from two separate massless springs of…MHT CET 2024 (4 May, Shift 1)
A mass ' m ' attached to a spring oscillates with a period of 3 second. If the mass is…MHT CET 2024 (4 May, Shift 2)
Three masses 500 g, 300 g and 100 g are suspended at the end of spring as shown in figure…MHT CET 2024 (2 May, Shift 1)