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NEET 2017
Exam
NEET
Year
2017
Subject
Physics
Chapter
Mechanical Properties of Solids

NEET 2017 · Physics · Mechanical Properties of Solids

The bulk modulus of a spherical object is B . If it is subjected to...

The bulk modulus of a spherical object is BB. If it is subjected to uniform pressure pp, the fractional decrease in radius is

Options

  1. ApB\dfrac{p}{B}
  2. BB3p\dfrac{B}{3p}
  3. C3pB\dfrac{3p}{B}
  4. Dp3B\dfrac{p}{3B}

Correct answer

D. p3B\dfrac{p}{3B}

Step-by-step solution

V = Volumeofsphere = \dfrac{4}{3}\pi{r}^{3}<br/><br/><br /><br />⇒ \dfrac{∆ V}{V} = 3\dfrac{∆ r}{r}<br/><br/>also,bulkmodulus,<br /><br />also, bulk modulus,B = \left|\dfrac{- p}{\left(\dfrac{∆ V}{V}\right)}\right|<br/><br/>∣−∆VV∣=pB<br /><br />\left|- \dfrac{∆ V}{V}\right| = \dfrac{p}{B}

3\Deltarr=pB3\dfrac{\Deltar}{r} = \dfrac{p}{B}

\Deltarr=p3B\dfrac{\Deltar}{r} = \dfrac{p}{3B}
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