Question

The legth of a pendulum is (1.5+_0.01)m and the acceleration due to gravity is taken into account as (9.8+_0.1)ms_2.calculate the time period of the pendulum with uncertainty in it

Answer 1

Answer:

ANSWER

∣

∣

∣

∣

∣

∣

∣

∣

3

1+α+β

1+α

2

+β

2

1+α+β

1+α

2

+β

2

1+α

3

+β

3

1+α

2

+β

2

1+α

3

+β

3

1+α

4

+β

4

∣

∣

∣

∣

∣

∣

∣

∣

=

∣

∣

∣

∣

∣

∣

∣

∣

1

1

1

1

α

α

2

1

β

β

2

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

∣

1

1

1

1

α

β

1

α

2

β

2

∣

∣

∣

∣

∣

∣

∣

∣

=

∣

∣

∣

∣

∣

∣

∣

∣

1

1

1

0

α−1

α

2

−1

0

β−1

β

2

−1

∣

∣

∣

∣

∣

∣

∣

∣

2

=((α−1)(β

2

−1)−(β−1)(α

2

−1))

2

=(α−1)

2

(β−1)

2

(α−β)

2

⇒k=1