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A student performs an experiment for determination of g(=(4π^2 l)/T^2 ). The error in length l is dl and in time T is dT and n is number of times the reading is taken. The measurement of g is most accurate for dl dT n (a) 5mm 0.2 sec 10 (b) 5mm 0.2 sec 20 (c) 5mm 0.1 sec 10 (d) 1mm 0.1 sec 50

A student performs an experiment for determination of g(=(4π^2 l)/T^2 ). The error in length l is dl and in time T is dT and n is number of times the reading is taken. The measurement of g is most accurate for
              dl                     dT            n
    (a)    5mm            0.2 sec        10
    (b)    5mm            0.2 sec        20
    (c)    5mm            0.1 sec        10
    (d)    1mm            0.1 sec        50


Grade:10

2 Answers

Navjyot Kalra
askIITians Faculty 654 Points
7 years ago

(d)

 

        The value of g will be most accurate for small D and DT and greater n.

Vishwajeet
13 Points
2 years ago
Given g = 4π^2l/T^2
∆g/g=∆l/l+2∆T/T
∆l is minimum in option d
∆T is minimum in option c and d
n is maximum in option d
Hence error will be minimum or the measurement of g will be most accurate in option d

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