Home
Class 11
PHYSICS
In determining viscosity (eta) by the eq...

In determining viscosity `(eta)` by the equaction `eta = (pi pr^(4))/(8vl)` which of the quantities must be measured more accuraltely

A

`P`

B

`r`

C

`v`

D

`l`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise LEVEL-I (C.W)|42 Videos

  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise LEVEL-II (C.W)|28 Videos

  • UNITS AND MEASUREMENTS

    NARAYNA|Exercise STATEMENT TYPE QUESTION|23 Videos

  • TRANSMISSION OF HEAT

    NARAYNA|Exercise LEVEL-II(C.W)|27 Videos

  • VECTORS

    NARAYNA|Exercise LEVEL-II (H.W)|14 Videos

Similar Questions

Explore conceptually related problems

If the fundamental quantites are velocity (upsilon) , mass (M), time (T), what will be the dimensions of eta in the equaiton V = (pi pr^4)/(8I eta) where the symbosl have their usual meaning?

Turpentine oil is flowing through a tube of length L and radius r . The pressure difference between the two ends of the tube is p , the viscosity of the coil is given by eta = (p (r^(2) - x^(2)))/(4 vL) , where v is the velocity of oil at a distance x from the axis of the tube. From this relation, the dimensions of viscosity eta are

Find the dimensions of the quantity v in the equation, v=(pip(a^(2)-x^(2)))/(2etal) where a is the radius and l is he length of the tube in which the fluid of coefficient of viscosity eta is flowing , x is the distacne from the axis of the tube and p is the pressure differnece.

Derive by the method of dimensions, an expression for the volume of a liquid flowing out per second through a narrow pipe. Asssume that the rate of flow of liwquid depends on (i) the coeffeicient of viscosity eta of the liquid (ii) the radius 'r' of the pipe and (iii) the pressure gradient (P)/(l) along the pipte. Take K=(pi)/(8) .

Find the dimensional formulae of the following quantities: a. the universal constant of gravitation G, b. the surface tension S, c. the thermal conductivity k and d. the coeficient of viscosity eta . Some equation involving these quantities are F=(Gm_1m_2)/r^2, S= (rho g r h)/2, Q=k(A(theta_2-theta_1)t)/d and F=- rho A (v_2-v_1)/(x_2-x_1) where the symbols have their usual meanings.

If eta=50% of oxygen gas kept in an adiabatic rigid container gets converted into ozone (O_(3)) . Then which of the following quantities of this gas sample will change.

The volume of a liquied flowing out per second of a pipe of length I and radius r is written by a student as upsilon =(pi)/(8)(Pr^4)/(etaI) where P is the pressure difference between the two ends of the pipe and eta is coefficient of viscosity of the liquid having dimensioal formula ML^(-1)T^(-1). Check whether the equation is dimensionally correct.

Consider a disk of mass m , radius R lying on a liquid layer of thickness T and coefficient of viscosity eta as shown in the fig. The coefficient of viscosity varies as eta=eta_(0)x (x measured from centre of the disk) at the given instant the disk is floating towards right with a velocity v as shown, find the force required to move the disk slowly at the given instant.

A small steel ball of radius r is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity eta . After some time the velocity of the ball attains a constant value known as terminal velocity upsilon_T . The terminal velocity depends on (i) the mass of the ball m (ii) eta , (iii) r and (iv) acceleration due to gravity g . Which of the following relations is dimensionally correct?