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TS EAMCET · Physics · Mathematics in Physics

In five successive measurements, the mass of a ball is measured to be \(2.61 \mathrm{~g}, 2.58 \mathrm{~g}\), \(2.40 \mathrm{~g}, 2.73 \mathrm{~g}\) and \(2.80 \mathrm{~g}\). The absolute error in the measurement is

  1. A \(0.09 \mathrm{~g}\)
  2. B \(0.07 \mathrm{~g}\)
  3. C \(0.11 \mathrm{~g}\)
  4. D \(0.13 \mathrm{~g}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(0.11 \mathrm{~g}\)

Step-by-step Solution

Detailed explanation

Mean mass of the ball is \(\bar{M}=\frac{m_1+m_2+m_3+m_4+m_5}{5}\) \(=\frac{2.61+2.58+2.40+2.73+2.80}{5}\) \(\bar{M}=2.624 \mathrm{~g} \simeq 2.62 \mathrm{~g}\) \(\therefore\) Mean absolute error,…
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