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Q.

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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a

1.4%

b

2.4%

c

3.4%

d

4.4%

answer is B.

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Detailed Solution

l=23.2 cm⇒Δl=0.1 cmr=1.32 cm⇒Δr=0.01 cmt=10.0 s⇒Δt=0.1 sg=4π2LT2=4π21+r(t/n)2g=4π2n2l+rt2Maximum percentage error in g will beΔgg×100=Δl+Δrl+r+2Δtt×100=0.1+0.0123.2+1.32+2×0.110.0×100= 2.4%
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