Question

$\huge\underline{\bf \orange{Question :}}$

The least count of a stop watch is 1/5 second. The time of 20 oscillations of a pendulum is measured to be 25 seconds. The maximum percentage error in the measurement of time will be​

Answer 1

Answer:

Explanation:

Final. Answer :Maximum percentage error in time taken., = 0.8%

Steps:

1) Least count,

At = 0.2s

Time taken to complete 20 oscillations, T = 25 s

No. of Oscillations, N = 20

Percentage error in measurement of time,

AT* 100% = ?

We shall find relative error,

T

t

N

=> ln(T) = ln( t

=> ln(T) = ln(t) - In(N)

AT +0

We get,

t N T =

AT T At t

AT T * 100%

At t * 100%

0.2 25 * 100 = 0.8%