Question

In a new system, the unit of mass is made 10 times, the unit of length is made 1/100 times and unit of time is made 10 times. Magnitude of 1J in the new system of unit is 10x. What is the value of x?

Answer 1

Answer:

The value of a is 1.

Explanation:

Given that,

In a new system the unit of mass is 10 times the unit of length is 10 times and unit of time is 100 times the SI unit.

The dimension formula of joule.

Where, a = 1, b = 2 and c = -2

In SI unit,

Mass = M

Length = L

Time = T

For new system,

The unit is

M=10 M

L = 10 L

T = 10 T

Now, The SI unit = SI unit of new system

Where,

Now, Put the all value

So,