A student performs an experiment for determination of g=(4pi^2 l)/(T^2) The error in length l is triangle l and in time T is triangle T and in time T is triangle T and n is number of times the reading is taken. The measurement of g is most accurate for: A) triangle l=5mm; triangle T=0.2 sec; n=10 B) triangle l=5mm; triangle T=0.2 sec; n=20 C) triangle l=5mm; triangle T=0.1 sec; n=10 D) triangle l=1mm; triangle T=0.1 sec; n=50

Memphis Burnett

Memphis Burnett

Answered question

2022-12-23

A student performs an experiment for determination of g = 4 π 2 l T 2 The error in length l is l and in time T is T and n is number of times the reading is taken. The measurement of g is most accurate for:
A) l = 5 m m ; T = 0.2 sec ; n = 10
B) l = 5 m m ; T = 0.2 sec ; n = 20
C) l = 5 m m ; T = 0.1 sec ; n = 10
D) l = 1 m m ; T = 0.1 sec ; n = 50

Answer & Explanation

Alleryexerimivn3

Alleryexerimivn3

Beginner2022-12-24Added 8 answers

The right answer is D: l = 0.5 m m , T = 0.2 sec , n = 50
We have:
Acceleration due to gravity, g = 4 π 2 l T 2
g g = l l + 2 T T

We'll obtain the most accurate outcome, when the number of readings taken will be highest and error in length and time is least.
l is minimum in option (D),
T is minimum in option (C) and (D),
n is maximum in option (D)
Thus, error will be minimum or the measurement of g will be most accurate in option (D).


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