In a system of units, the units of mass, length and time are called pail, jack, and jill. 1 pail = 5 kg, 1 m = 5 jacks and 24 s make 1 jill. What are the unit of density and speed in the new system?

{(p a i l s) (j i l l s)}^{- 2}

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

{(p a i l s) (j a c k)}^{- 3}

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

{(j a c k)}^{2} (j i l l)

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

{(p a i l s) (j a c k)}^{2}

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

Open in App

Solution

The correct option is A ${(p a i l s) (j a c k)}^{- 3}$
The unity of density $= \frac{u n i t o f m a s s}{{(u n i t o f l e n g t h)}^{3}} = (p a i l s) {(J a c k)}^{- 3}$

Suggest Corrections

Similar questions

Q. Jack and Jill are filling up a small pool with water. For every two pails that Jack fills, Jill fills exactly one. If both of them fill the pool, with total of 36 pails, how many pails did Jack and Jill each contribute?

Q. In a given system of units, 1 unit of mass = 2 kg. 1 unit of length = 5 m and 1 unit of time = 5 sec. then in this system, 1 N represents:

Q. In a new system of units, unit of mass is

10 k g

, unit of length is

1 k m

and unit of time is

1 m i n u t e

. The value of

1 j o u l e

in this new hypothetical system is :

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

Q. A new system of units is proposed in which unit of mass is

α

kg, unit of length is

β

m and unit of time is

γ

s. What will be value of 5 J in this new system?

Join BYJU'S Learning Program

In a system of units, the units of mass, length and time are called pail, jack, and jill. 1 pail = 5 kg, 1 m = 5 jacks and 24 s make 1 jill. What are the unit of density and speed in the new system?

The correct option is A (pails)(jack)−3The unity of density=unitofmass(unitoflength)3=(pails)(Jack)−3

The correct option is A ${(p a i l s) (j a c k)}^{- 3}$
The unity of density $= \frac{u n i t o f m a s s}{{(u n i t o f l e n g t h)}^{3}} = (p a i l s) {(J a c k)}^{- 3}$