d Both assertion and reason are false 17 A particle is executing linear simple harmonic motion The fraction of the total energy that c Assertion is true but reason is false is not the correct explanation of the assertion b Both assertion and reason are true but reason AIIMS and 16 TC time in second maga ely P of of a sufficie to and fro he acceleration ns 2 The time pe harmonic mot the partide magnitude of leration Then d nonic motion displacement respective yi 42 be c K 2K JEE Main 13 The mass and the diameter of a planet are three times the respective values for the Earth The period of oscillation of a simple pendulum on the Earth is 2 s The period of oscillation of the same pendulum on the planet would be 3 a 2 3s b s 2 d K c a 1 5 Hz c 3 5 Hz 2 2 K 4 S d 3 b 2 5 Hz d 4 5 Hz 2 JEE Main A simple pendulum of length 1 m is oscillating with an angular frequency 10 rad s The support of the pendulum starts oscillating up and down with a small angular frequency of 1 rad s and an amplitude of 10 2 m The relative change in the angular frequency of the pendulum is best given by a 10 5 rad s c 1 rad s b 10 rad s d 10 rad s S JEE Main 15 A bottle weighing 220 g and of area of cross section 50 cm and height 4 cm oscillates on the surface of water in vertical position Its frequency of oscillation is AIIMS 16 Assertion The periodic time of a hard spring i less as compared to that of a soft spring Reason The periodic time depends upon th spring constant which is large for hard spring a Both assertion and reason are true and reaso is the correct explanation of the assertion