Question

9. A student perform an experiment and repeats the experiment 5 times .If he
repeats the experiment 20 times, the error in the experiment will be reduced by a
factor of-
zero
O2
O4
O 15​

Answer 1

Explanation:

if a relative error in measuring time period out of 10 measurement is ∆T

then , the relative error in measuring time period out of 100

measurement is ∆T/10

thus reduction in relative error=∆T/10)100

therefore% reduction 90%

Answer 2

Answer:

If he repeats the experiment 20 times the error will be reduced by a factor of 4.

Explanation:

Since your question has incomplete given data.

In order to give complete given data the complete question might be,

"A student perform an experiment and repeats the experiment 5 times and the error in the experiment is reduced by a factor of 1. If he

repeats the experiment 20 times, the error in the experiment will be reduced by a factor of?"

a) 0

b) 2

c) 4

d) 15

Now,

Error is the difference between the true value and the measured value.

Error in an experiment can be reduced by taking more than one measurements and finding out their mean value.

Since,

By repeating the experiment 5 times the error in the experiment is reduced by a factor of 1.

Hence,

5×4 = 20

Therefore by repeating the experiment 20 times the error in the experiment is reduced by a factor of 4.

As,

1×4 = 4