Answer:
l=24.8 cm
Step-by-step explanation:
The period of a simple pendulum is given by
![T= 2\pi\sqrt{(l)/(g) }](https://img.qammunity.org/2020/formulas/physics/high-school/j762jhta6nb5u9706zpk7sszd5i92p069p.png)
l= length of pendulum
g= acceleration due to gravity
taking square on both the sides we get
![T^2= 4\pi^2(l)/(g)](https://img.qammunity.org/2020/formulas/physics/high-school/g24ulsy173dgabcld53xg52pbppdw8co74.png)
This can be rewritten as
![l = (T^2)/(g)4\pi^2](https://img.qammunity.org/2020/formulas/physics/high-school/99beoxluebpnkx9mo4jr7xcbxedfegjfk6.png)
now substituting T= 1 and g= 9.8
![l = (1^2)/(9.8)4\pi^2](https://img.qammunity.org/2020/formulas/physics/high-school/3klpgu81j1qnnyvi7b94dt10n0aem3pwi8.png)
l= 0.248 m = 24.8 cm