JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
The diameter of a spherical bob is measured using a vernier callipers. \(9\) divisions of the main scale, in the vernier callipers, are equal to \(10\) divisions of vernier scale. One main scale division is \(1\, {mm}\). The main scale reading is \(10\, {mm}\) and \(8^{\text {th }}\) division of vernier scale was found to coincide exactly with one of the main scale division. If the given vernier callipers has positive zero error of \(0.04\, {cm}\), then the radius of the bob is \(...... \,\times 10^{-2} \,{cm}\)
- A \(0.52\)
- B \(520\)
- C \(5.2\)
- D \(52\)
Answer & Solution
Correct Answer
(D) \(52\)
Step-by-step Solution
Detailed explanation
\(9 \,{MSD}=10 \,{VSD}\) \(9 \times 1\, {mm}=10\, {VSD}\) \(\therefore 1 \,{VSD}=0.9\, {mm}\) \({LC}=1\, {MSD}-1\, {VSD}=0.1 \,{mm}\) Reading \(={MSR}+{VSR} \times {LC}\) \(10+8 \times 0.1=10.8\, {mm}\) Actual reading \(=10.8-0.4=10.4\, {mm}\) radius…
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