The following observations were taken for det | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Given the relation $T = \frac{rhg}{2} 	imes 10^3$.Since $r = D/2$,the relative error in $r$ is the same as the relative error in $D$,i.e.,$\frac{

Vedclass · Accepted Answer

$1.5$

Vedclass · Answer

(B) Given the relation $T = \frac{rhg}{2} 	imes 10^3$.Since $r = D/2$,the relative error in $r$ is the same as the relative error in $D$,i.e.,$\frac{\Delta r}{r} = \frac{\Delta D}{D}$.The least count for both $D$ and $h$ is $\Delta D = \Delta h = 0.01 	imes 10^{-2} \; m$.The relative error in $T$ is given by $\frac{\Delta T}{T} = \frac{\Delta r}{r} + \frac{\Delta h}{h}$.Substituting the values: $\frac{\Delta T}{T} = \frac{0.01 	imes 10^{-2}}{1.25 	imes 10^{-2}} + \frac{0.01 	imes 10^{-2}}{1.45 	imes 10^{-2}} = \frac{0.01}{1.25} + \frac{0.01}{1.45}$.Percentage error $= \left( \frac{0.01}{1.25} + \frac{0.01}{1.45} ight) 	imes 100 = \frac{1}{1.25} + \frac{1}{1.45} = 0.8 + 0.6896 \approx 1.5 \%$.Thus,the possible error in surface tension is $1.5 \%$.

Similar Questions

Two capillary tubes of different diameters are dipped in water. The rise of water is

When a capillary tube is dipped into two liquids having relative densities $0.8$ and $0.6$ and surface tensions $60 \, dyne/cm$ and $50 \, dyne/cm$ respectively,the ratio of the heights of the liquids in the capillary tube $\frac{h_1}{h_2}$ is:

Two parallel glass plates are dipped partly in a liquid of density $d$ while keeping them vertical. If the distance between the plates is $x$, the surface tension of the liquid is $T$, and the angle of contact is $\theta$, then the rise of the liquid between the plates due to capillarity will be:

Give reason: The lighting of a lamp is due to the wick of the lamp.

Two capillaries made of the same material but of different radii are dipped in a liquid. The rise of liquid in one capillary is $2.2 \ cm$ and that in the other is $6.6 \ cm$. The ratio of their radii is

Vedclass Test Series

Exam Paper Generator

Online Exam Module