A dimensionally consistent relation for the volume \( V \) of a liquid of coefficient of viscosi... VIDEO
A dimensionally consistent relation for the volume \( V \) of a liquid of coefficient of viscosity \( \eta \) flowing per second through a tube of radius \( r \) and length \( l \) and having a pressure difference \( p \) across its end, is
(a) \( V=\frac{\pi p r^{4}}{8 \eta l} \)
(b) \( V=\frac{\pi \eta l}{8 p r^{4}} \)
(c) \( V=\frac{8 p \eta l}{\pi r^{4}} \)
(d) \( V=\frac{\pi p \eta}{81 r^{4}} \)
š²PW App Link - https://bit.ly/YTAI_PWAP
šPW Website - https://www.pw.live
Other Videos By PW Solutions 2022-10-27 If the time period of oscillation of a pendulum is measured as \( 2.5 \) second using a stop wat... 2022-10-27 The mean time period of second's pendulum is \( 2.00 \) s and mean absolute error in the time pe... 2022-10-27 In the formula \( X=5 Y Z^{2}, X \) and \( Z \) have dimensions of capacitance and magnetic fiel... 2022-10-27 A liquid drop placed on a horizontal plane has a near spherical shape (slightly flattened due to... 2022-10-27 The force of interaction between two atoms is given by \( F=\alpha \beta \exp \left(-\frac{x^{2}... 2022-10-27 If speed \( (V) \), acceleration \( (A) \) and force \( (F) \) are considered as fundamental uni... 2022-10-27 Consider the following equation of Bernouilli's theorem. \( P+\frac{1}{2} \rho V^{2}+\rho g h=K ... 2022-10-27 If momentum \( (p) \), area \( (A) \) and time \( (T) \) are taken to be fundamental quantities,... 2022-10-27 The dimensions of the area \( A \) of a black hole can be written in terms of the universal cons... 2022-10-27 A plane electromagnetic wave propagating in the direction of unit vector \( \hat{n} \) with a sp... 2022-10-27 A dimensionally consistent relation for the volume \( V \) of a liquid of coefficient of viscosi... 2022-10-27 The speed \( (v) \) of ripples on the surface of water depends on surface tension \( (\sigma) \)... 2022-10-27 If the time period \( (T) \) of vibration of a liquid drop depends on surface tension \( (S) \),... 2022-10-27 If the velocity of light \( (c) \), gravitational constant \( (G) \) and Planck's constant (h) a... 2022-10-27 If energy \( (E) \), velocity \( (V) \) and time \( (T) \) are chosen as the fundamental quantit... 2022-10-27 If dimensions of critical velocity \( v_{c} \) of a liquid flowing through a tube are expressed ... 2022-10-27 Position of a body with acceleration ' \( a \) ' is given by \( x=K a^{m} t^{n} \), here \( t \)... 2022-10-27 If force \( (F) \), length \( (L) \) and time \( (T) \) are assumed to be fundamental units, the... 2022-10-27 A small steel ball of radius \( r \) is allowed to fall under gravity through a column of a visc... 2022-10-27 The velocity of water waves \( v \) may depend upon their wavelength \( \lambda \), the density ... 2022-10-27 If energy \( (E) \), velocity \( (v) \) and force \( (F) \) be taken as fundamental quantity, th...