Question

What is the comparison of the formula for the period of a pendulum to the equation of a line, y=mx + c?

Answer 1

Relationship between time period(`T`) and length (`L`) of the string of a pendulum is given as, `T=2pisqrt(L/g)` (where g is acceleration due to gravity on earth)

So,we can write, `T= 2pi/sqrtg sqrtL`

Now,compare this with `y=mx`

So, Graph of `T` vs. `sqrt L` will be a straight line passing through origin,where slope=`tan theta`=`2pi/sqrtg`