Question:
If the length of rod $A$ is $ 3.25\pm 0.01\,cm $ and that of $B$ is $ 4.19\pm 0.01\,cm, $ then the rod $B$ is longer than rod $A$ by
If the length of rod $A$ is $ 3.25\pm 0.01\,cm $ and that of $B$ is $ 4.19\pm 0.01\,cm, $ then the rod $B$ is longer than rod $A$ by
Updated On: Jun 8, 2024
- $ 0.94\pm 0.00\,cm $
- $ 0.94\pm 0.01\,cm $
- $ 0.94\pm 0.02\,cm $
- $ 0.94\pm 0.005\,cm $
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The Correct Option is C
Solution and Explanation
Length of rod $A$ is
$ L_A = 3.25 \pm 0.01 $
and that of $B$ is
$ L_B = 4.19 \pm 0.01 $
Then, the rod $B$ is longer than rod $A$ by a length
$ \triangle l = L_B - L_A $
$ \triangle l = ( 4.19 \pm 0.01) - ( 3.25 \pm 0.01) $
$ \triangle l = ( 0.94 \pm 0.02 ) cm $
$ L_A = 3.25 \pm 0.01 $
and that of $B$ is
$ L_B = 4.19 \pm 0.01 $
Then, the rod $B$ is longer than rod $A$ by a length
$ \triangle l = L_B - L_A $
$ \triangle l = ( 4.19 \pm 0.01) - ( 3.25 \pm 0.01) $
$ \triangle l = ( 0.94 \pm 0.02 ) cm $
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