Question 162: Units , Dimensions and Error Analysis

Question

For the four sets of three measured physical
quantities as given below. Which of the
following options is correct ?
(i) A
1
= 24.36, B
1
= 0.0724, C
1
= 256.2
(ii) A
2
= 24.44, B
2
= 16.082, C
2
= 240.2
(iii) A
3
= 25.2, B
3
= 19.2812, C
3
= 236.183
(iv) A
4
= 25, B
4
= 236.191, C
4
= 19.5

Accepted Answer

A
1
+ B
1
+ C
1
= 24.36 + 0.0724 + 256.2
= 280.6324
= 280.6 (After rounding off)
A
2
+ B
2
+ C
2
= 24.44 + 16.082 + 240.2
= 280.722
= 280.7 (After rounding off)
A
3
+ B
3
+ C
3
= 25.2 + 19.2812 + 236.183
= 280.6642
= 280.7 (After rounding off)
A
4
+ B
4
+ C
4
= 25 + 236.191 + 19.5
= 280.691
= 281 (After rounding off)

Answer

A
1
+ B
1
+ C
1
= A
2
+ B
2
+ C
2
= A
3
+ B
3
+ C
3
= A
4
+ B
4
+ C
4

Answer

A
4
+ B
4
+ C
4
$$ < $$ A
1
+ B
1
+ C
1
$$ < $$ A
3
+ B
3
+ C
3
$$ < $$ A
2
+ B
2
+ C
2

Answer

A
4
+ B
4
+ C
4
$$ < $$ A
1
+ B
1
+ C
1
= A
2
+ B
2
+ C
2
= A
3
+ B
3
+ C
3

Answer

A
4
+ B
4
+ C
4
$$ > $$ A
3
+ B
3
+ C
3
= A
2
+ B
2
+ C
2
$$ > $$
A
1
+ B
1
+ C
1

Units , Dimensions and Error Analysis

For the four sets of three measured physical quantities as given below. Which of the following options is correct ? (i) A 1 = 24.36, B 1 = 0.0724, C 1 = 256.2 (ii) A 2 = 24.44, B 2 = 16.082, C 2 = 240.2 (iii) A 3 = 25.2, B 3 = 19.2812, C 3 = 236.183 (iv) A 4 = 25, B 4 = 236.191, C 4 = 19.5

Choose the correct answer: