Given below are two statements :

Question:

Given below are two statements :

Statement (I) :- A second's pendulum has a time period of 1 second.

Statement (II) :- It takes precisely one second to move between the two extreme positions.

In the light of the above statements, choose the correct answer from the options give below.

  1. (1) Both Statement I and Statement II are false

  2. (2) Statement I is true but Statement II is false

  3. (3) Statement I is false but Statement II is true

  4. (4) Both Statement $I$ and Statement II is true


Correct Option: , 3

Solution:

(3)

As we know time period of second's penduklum is 2 sec, so statement (1) is incorrect.

Time taken between two extreme points in second's pendulum is $1 \mathrm{sec}$.

Above statement is correct because time taken by particle performing SHM between two

extreme position is $\mathrm{T} / 2$.

Here, $T=2 \mathrm{sec} .$

So, time $=2 / 2=1 \mathrm{sec}$

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