Two blocks of equal mass are each attached to separate vertical ideal springs and are…

PHYSICS · Single correct · CBSE · Physics · Oscillations · Oscillations

Problem

Two blocks of equal mass are each attached to separate vertical ideal springs and are set into small–amplitude oscillations. Block C oscillates with a period of 0.60 s0.60\,\text{s}, while block D oscillates with a period of 0.80 s0.80\,\text{s}. Which of the following most accurately compares the stiffness constants kCk_C and kDk_D of the two springs? (a) kC<kDk_C < k_D because the spring with the longer period must be stiffer to reverse the block’s motion. (b) kC>kDk_C > k_D because the spring with the shorter oscillation period is stiffer. (c) kC=kDk_C = k_D since both blocks have the same mass. (d) kC=0.75 kDk_C = 0.75\,k_D because the student used k∝1/Tk\propto1/T instead of k∝1/T2k\propto1/T^{2}.

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