Question

a spring block system is horizontal oscillation has time period T . Now the spring cut into four equal parts and the block is reconnected with one of the parts . the new time period of vertical oscillation will be
1)T÷√2
2)2T
3)T÷2
4)T÷2√2​

Answer 1

The new time period of oscillation will be  $T_{new}$ = T/2

Hence option  (3) T/2    is correct.

Explanation:

For a given spring block system, Let the spring has spring constant 'K' and block has mass 'm'  , then its Time period of oscillation is given by

             

                               T = 2π$\sqrt{\frac{m}{K}$

Concept :

       If a spring having spring constant 'K' is cut into 'n' equal parts, then spring constant of each part is given by 'nK' .

In this question spring is cut into four equal parts, then spring constant of each part will be '4K'.

and when block is attached to one of the part, its new Time period of oscillation will be $T_{new}$  = 2π$\sqrt{\frac{m}{4K} }$ = (2π$\sqrt{\frac{m}{K}$)/2

                              $T_{new}$ = T/2

Note : Time period of oscillation of a spring block system is same for horizontal and vertical configuration.

Know More :

Q.1- Find the time Period of the given spring block system.

Click Here - https://brainly.in/question/13908244

Q.2- Find the time period of the spring block system. see in attachment​

Click Here - https://brainly.in/question/14017362

Q.3- A block oscillates with time period t with a spring .The spring is cut into three equal parts and then the same block is made to oscillate with parallel combination of the three spring parts .The new period of oscillation is

Click Here - https://brainly.in/question/7259880