In a certain observation made to measure the length of wire and radius of bob of a simple pendulum we got, $$l=23.2$$ cm, $$r=1.32$$ cm and time taken for $$10$$ oscillations was $$10.0$$ s. Find, maximum percentage error in determination of ' g '

Question

In a certain observation made to measure the length of wire and radius of bob of a simple pendulum we got, $$l=23.2$$ cm, $$r=1.32$$ cm and time taken for $$10$$ oscillations was $$10.0$$ s. Find, maximum percentage error in determination of ' g '

Infinity Learn · Accepted Answer

$$l=23.2$$ cm⇒Δ$$l=0.1$$ $$cmr=1.32$$ cm⇒Δ$$r=0.01$$ $$cmt=10.0$$ s⇒Δ$$t=0.1$$ $$sg=4$$$$π$$$$2LT2=4$$$$π$$$$21+r(t/n)2g=4$$$$π$$$$2n2l+rt2Maximum$$ percentage error in g will beΔgg×$$100=$$Δ$$l+$$Δ$$rl+r+2$$Δtt×$$100=0.1+0.0123.2+1.32+2$$×$$0.110.0$$×$$100=$$ $$2.4$$%

In a certain observation made to measure the length of wire and radius of bob of a simple pendulum we got, $l = 23.2 cm, r = 1.32 cm$ and time taken for 10 oscillations was 10.0 s. Find, maximum percentage error in determination of ' $g$ '

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In a certain observation made to measure the length of wire and radius of bob of a simple pendulum we got, l=23.2 cm, r=1.32 cm and time taken for 10 oscillations was 10.0 s. Find, maximum percentage error in determination of ' g '

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In a certain observation made to measure the length of wire and radius of bob of a simple pendulum we got, $l = 23.2 cm, r = 1.32 cm$ and time taken for 10 oscillations was 10.0 s. Find, maximum percentage error in determination of ' $g$ '