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QJEEM20Phdda8: JEE Main 2020 Physics - Class 11 JEEM20Phdda8 Solution: A air bubble of radius 1 cm in water has an upward acceleration …

A air bubble of radius 1 cm in water has an upward acceleration 9.8 cm s–2. The density of water is 1 gm cm–3 and water offers negligible drag force on the bubble. The mass of the bubble is (g = 980 cm/s2).

Multiple Choice Options

  • A 1.52 gm
  • B 4.51 gm
  • C 3.15 gm
  • D 4.15 gm

Step-by-Step Verified Solution

JEE Main 2020 (Online) 4th September Morning Slot Physics - Properties of Matter Question 190 English Explanation

B - mg = ma

⇒\Rightarrow m = Bg+a{B \over {g + a}}

= Vρwgg+a{{V{\rho _w}g} \over {g + a}}

= Vρw1+ag{{V{\rho _w}} \over {1 + {a \over g}}}

= 43π(1)3×11+9.8980{{{4 \over 3}\pi {{\left( 1 \right)}^3} \times 1} \over {1 + {{9.8} \over {980}}}}

= 4.15 gm

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