Question

The error in the measurement of length (L) of the simple pendulum is 0.01% and the error in time period (T) is 0.03 %. The maximum possible error in the measurement of L/T3 is a) 0.9% b) 0.1% c) 0.09% d) 1.1%

Answer 1

Answer:

=2πgl

g=2πTl

21gΔg=TΔT+21lΔl

21g△g=∣3∣+21×∣0.1∣

⇒g△g=6.1%

The maximum possible error, g△g=6.1%

Answer 2

Step-by-step explanation:

ANSWER

T=2π

g

l

g

=2π

T

l

2

1

g

Δg

=

T

ΔT

+

2

1

l

Δl

2

1

g

△g

=∣3∣+

2

1

×∣0.1∣

⇒

g

△g

=6.1%

The maximum possible error,

g

△g

=6.1%