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Question: Answered & Verified by Expert
Let the end error on the LHS and RHS be equal to 1 cm. For the balance point at O, find out the % error in the value of X? (If the end error is 1 cm from both sides then it means the correct reading will become 10 cm + 1 cm from LHS and 90 cm + 1 cm from the RHS)

PhysicsExperimental PhysicsJEE Main
Options:
  • A 4.2 %
  • B 8.1%
  • C 9.2%
  • D None
Solution:
1726 Upvotes Verified Answer
The correct answer is: 8.1%
x 9 0 = l 1 l 2 = 1 1 9 1

x = 1 1 9 1 9 0

x 9 0 = 1 0 9 0

⇒     x = 1 0

⇒    Δ x = 1 1 9 1 9 0 - 1 0

               = 9 9 0 - 9 1 0 9 1

               = 8 0 9 1

Δ x % = Δ x x × 1 0 0 = 8 0 9 1 9 9 0 9 1 × 1 0 0

                            = 8 0 0 9 9 %

                            =  8.1 %

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