Water (ρ=1000 kg / m 3) and kerosene (σ=800 kg / m 3) are filled in two identical cylindrical vessels. Both vessels have small holes at their bottom. The speed of the water and kerosene coming out of their holes are v1 and v2 respectively. Select the correct alternative

Question

Water (ρ=1000 kg / m 3) and kerosene (σ=800 kg / m 3) are filled in two identical cylindrical vessels. Both vessels have small holes at their bottom. The speed of the water and kerosene coming out of their holes are v1 and v2 respectively. Select the correct alternative (A) v1=v2 (B) v1=0.8 v2 (C) 0.8 v1=v2 (D) v1=√0.8 v2

Tardigrade Admin · Accepted Answer

Velocity of efflux for small holes =√2 g h Which clearly is independent of ' ρ ' (density) So, v1=v2

Q. Water $(ρ = 1000 k g / m^{3})$ and kerosene $(σ = 800 k g / m^{3})$ are filled in two identical cylindrical vessels. Both vessels have small holes at their bottom. The speed of the water and kerosene coming out of their holes are $v_{1}$ and $v_{2}$ respectively. Select the correct alternative

$v_{1} = v_{2}$

$v_{1} = 0.8 v_{2}$

$0.8 v_{1} = v_{2}$

$v_{1} = 0.8 v_{2}$

Velocity of efflux for small holes $= 2 g h$
Which clearly is independent of ' $ρ$ ' (density)
So, $v_{1} = v_{2}$

Q. Water (ρ=1000kg/m3) and kerosene (σ=800kg/m3) are filled in two identical cylindrical vessels. Both vessels have small holes at their bottom. The speed of the water and kerosene coming out of their holes are v1​ and v2​ respectively. Select the correct alternative

v1​=v2​

v1​=0.8v2​

0.8v1​=v2​

v1​=0.8​v2​

Velocity of efflux for small holes =2gh​ Which clearly is independent of ' ρ ' (density) So, v1​=v2​

Q. Water $(ρ = 1000 k g / m^{3})$ and kerosene $(σ = 800 k g / m^{3})$ are filled in two identical cylindrical vessels. Both vessels have small holes at their bottom. The speed of the water and kerosene coming out of their holes are $v_{1}$ and $v_{2}$ respectively. Select the correct alternative

$v_{1} = v_{2}$

$v_{1} = 0.8 v_{2}$

$0.8 v_{1} = v_{2}$

$v_{1} = 0.8 v_{2}$

Velocity of efflux for small holes $= 2 g h$
Which clearly is independent of ' $ρ$ ' (density)
So, $v_{1} = v_{2}$