If the ratio of the fundamental units in a new systems of measurement to the units of SI system is $2 : 3$ , then the units of surface tension in the system will be in the ratio of :

2 : 3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3 : 2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

4 : 9

No worries! We‘ve got your back. Try BYJU‘S free classes today!

9 : 4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $3 : 2$
$S = S u r f a c e T e n s i o n = \frac{f o r c e}{l e n g t h} = \frac{M^{1} L^{1} T^{- 2}}{L^{1}} = M^{1} T^{- 2}$
Now, $\frac{M_{1}}{M_{2}} = \frac{2}{3} = \frac{L_{1}}{L_{2}} = \frac{T_{1}}{T_{2}}$
So, $\frac{S_{1}}{S_{2}} = \frac{M_{1}^{1} T_{1}^{- 2}}{M_{2}^{1} T_{2}^{- 2}} = (\frac{2}{3}) \times (\frac{2}{3})^{- 2}$

$\Rightarrow \frac{S_{1}}{S_{2}} = \frac{3}{2}$

Suggest Corrections

Similar questions

Q. If the ratio of fundamental units in two systems is 1 :3, then the ratio of momentum in the two systems is:

Q. Which of the following units is a fundamental unit in SI system of units?

Q. A certain amount of energy is measured as 500 units. If the fundamental units of length, mass and time each are doubled then the magnitude of energy in new system will be:

Q. Certain amount of energy is measured as 400 units. If the fundamental units of length, mass and time, each are doubled the magnitude of the same energy in the new system will be ___units.

In a new system of units, called SHAR system, the unit of length is $α$ m, the unit of mass is $\frac{1}{α} k g$ kg and the unit of time is $α^{2}$ s. The unit of work in this system is

Join BYJU'S Learning Program

If the ratio of the fundamental units in a new systems of measurement to the units of SI system is 2:3, then the units of surface tension in the system will be in the ratio of :

The correct option is B 3:2S=Surface Tension=forcelength=M1L1T−2L1=M1T−2Now, M1M2=23=L1L2=T1T2So, S1S2=M11T−21M12T−22=(23)×(23)−2⇒S1S2=32

If the ratio of the fundamental units in a new systems of measurement to the units of SI system is $2 : 3$ , then the units of surface tension in the system will be in the ratio of :