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NEET 2025

NEET 2025 Physics question on Properties of Matter

A balloon is made of a material of surface tension S and its inflation outlet (from where gas is filled in it) has small area A. It is filled with a gas of density ρ and takes a spherical shape of radius R. When the gas is allowed to flow freely out of it, its radius r changes from R to 0 (zero) in time T. If the speed v(r) of gas coming out of the balloon depends on r as rar^a and T∝SαAβργRδT \propto S^\alpha A^\beta \rho^\gamma R^\delta then
  1. A.
    a=12, α=12, β=−12, γ=12, δ=72a= \dfrac{1}{2},\ \alpha= \dfrac{1}{2},\ \beta= -\dfrac{1}{2},\ \gamma= \dfrac{1}{2},\ \delta= \dfrac{7}{2}
  2. B.
    a=12, α=12, β=−1, γ=+1, δ=32a = \dfrac{1}{2},\ \alpha = \dfrac{1}{2},\ \beta = -1,\ \gamma = +1,\ \delta = \dfrac{3}{2}
  3. C.
    a=−12, α=−12, β=−1, γ=−12, δ=52a = -\dfrac{1}{2},\ \alpha = -\dfrac{1}{2},\ \beta = -1,\ \gamma = -\dfrac{1}{2},\ \delta= \dfrac{5}{2}
  4. D.
    a=−12, α=−12, β=−1, γ=12, δ=72a = -\dfrac{1}{2},\ \alpha = -\dfrac{1}{2},\ \beta = -1,\ \gamma = \dfrac{1}{2},\ \delta = \dfrac{7}{2}
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Correct option: D

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