Question

The length of a plain penclytum is found to be lo by a scale measuring 1mm minimum- O clock with el resoulation Fib OF I gives 9 by meusuring the time time for loo oscillutions . so the value of the following is 4 =(9&ns* 10 )​

Answer 1

Explanation:

T=

n

t

and ΔT=

n

Δt

∴

t

ΔT

×100=

t

Δt

×100

=

2×100

0.1

×100=0.05%

l

Δl

×100=

100cm

0.1cm

×100=0.1%

Now, T=2π

g

l

⇒g=

T

2

4π

2

l

∴ % error in g=(% error in l)+2(% error in T)

=0.1% +2(0.05%)=0.2%

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