Question

Question 27 a k = 50 N/m hellllile osno 0.5 kg Submit x= -0.5 m X = 0.0 m X = 0.5 m A block of mass 0.5 kg on a horizontal surface is attached to a horizontal spring of negligible mass and spring constant 50 N/m. The other end of the spring is attached to a wall, and there is negligible friction between the block and the horizontal surface. When the spring is unstretched, the block is located at x = 0 m. The block is then pulled to x = 0.5 m and released from rest so that the block-spring system oscillates between x = -0.5 m and x = 0.5 m, as shown in the figure. Which of the following claims is correct about the block's period of oscillation? (A) The period would increase if the block were released from rest at x = 0.8 m. The period would increase if the block had a mass of 1.2 kg. C) The period would increase if the spring had a spring constant of 75 N/m. The period would increase if the block-spring system was oriented vertically so that the block-spring system oscillates between y = -0.5 m and y = 0.5 m, the mass of the block is 0.5 kg, and the spring constant is 50 N/m.

Answer 1

Ans: B

Time period in case of spring mass system is given by,

T = 20

Where k is the spring constant and m is mass of the block.

As it's evident, time period depends only on mass of the block and the spring constant. Increasing mass increases the time period .

A is wrong because time period does not depend upon amplitude.

C is wrong because increasing k will decrease the time period.

D us wrong because for vertical shm of spring mass system the time period has the same expression so it does not matter whether the system is vertical or horizontal. Time period will be same for both.