Question

In determination of acceleration due to gravity (g)
using the formula T = 2π✓L/g, the errors in
g
measurement of Land T are 1% and 2%
respectively. The maximum percentage error in the
value of g is
(1) 5%
(2) 4%
(3) 3%
(4) 1.5%
with explaination please​

Answer 1

Answer:

T = 2π✓L/g

or, T^2 = 4π²L/g

or, g = 4π²L / T^2

So,

Δg /g  * 100  = ΔL/L  *100  + 2ΔT/T *100

  = 1 % + 2* 2%

  = 5%

(1)  is the correct option