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QJEEM22Pha6b7: JEE Main 2022 Physics - Class 11 JEEM22Pha6b7 Solution: The terminal velocity (v t ) of the spherical rain drop depends …

The terminal velocity (vt) of the spherical rain drop depends on the radius (r) of the spherical rain drop as :

Multiple Choice Options

  • A r1/2
  • B r
  • C r2
  • D r3

Step-by-Step Verified Solution

6πηvtr=43πr3(ρ−σ)g6\pi \eta {v_t}r = {4 \over 3}\pi {r^3}(\rho - \sigma )g

⇒vt=Cr2\Rightarrow {v_t} = C{r^2} where C is a constant

or vt∝r2{v_t} \propto {r^2}

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