Asmall marble attached to a massless thread is hung from a horizontal support. when the marble is pulled back a small distance from equilibrium and released, it swings in simple harmonic motion with a frequency .
what is the frequency of the pendulum if the length of the thread is increased by a factor of 4,4, but the marble is still released in the same way?
a,
b.

f' = 2 f

Explanation:

The frequency of the pendulum that swings in simple harmonic motion is given by :

Where

l is the length of pendulum

g is the acceleration due to gravity

If the length of the thread is increased by a factor of 4, such that, l' = 4 l, let f' is the new frequency such that,

f' = 2 f

So, the new frequency of the pendulum will become 2 time of initial frequency. Hence, the correct option is (b) "2f"

some think that theories become laws, but theories and laws have separate and distinct roles in the scientific method. a law is a description of an observed phenomenon in the natural world that hold true every time it is tested. it doesn't explain why something is true; it just states that it is true.

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min