Question 175: 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) A1 = 24.36, B1 = 0.0724, C1 = 256.2
(ii) A2 = 24.44, B2 = 16.082, C2 = 240.2
(iii) A3 = 25.2, B3 = 19.2812, C3 = 236.183
(iv) A4 = 25, B4 = 236.191, C4 = 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

A1 + B1 + C1 = A2 + B2 + C2 = A3 + B3 + C3
= A4 + B4 + C4

Answer

A4 + B4 + C4 $$ < $$ A1 + B1 + C1 $$ < $$ A3 + B3 + C3
$$ < $$ A2 + B2 + C2

Answer

A4 + B4 + C4 $$ < $$ A1 + B1 + C1 = A2 + B2 + C2
= A3 + B3 + C3

Answer

A4 + B4 + C4 $$ > $$ A3 + B3 + C3 = A2 + B2 + C2 $$ > $$
A1 + B1 + C1

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) A1 = 24.36, B1 = 0.0724, C1 = 256.2 (ii) A2 = 24.44, B2 = 16.082, C2 = 240.2 (iii) A3 = 25.2, B3 = 19.2812, C3 = 236.183 (iv) A4 = 25, B4 = 236.191, C4 = 19.5

Choose the correct answer: