certain amount of energy is measured as 400 units.if the fundamental units of length,mass,time each are doubled the magnitude of same energy in the new system will
be
Answers
Answer:
New Energy = 800 units
Explanation:
Dimensional Formula of Energy : [ ML²T⁻² ]
This is given to be 400 units.
Now according to the new case, the fundamental units of M, L and T are doubled. We are required to find the Energy in new System.
Interpreting it as an equation we get,
⇒ E' = [ 2M. ( 2L )² . ( 2T )⁻² ]
⇒ E' = [ 2M . 4L² . T⁻²/4 ]
⇒ E' = [ 2 M.L².T⁻² ]
⇒ E' = 2 [ E ]
Hence the new energy E' = 2 × 400 units = 800 units.
Answer:
Explanation:
Given :-
Measured amount of Energy = 400 units
The fundamental units of length, mass, time each are doubled the magnitude of the same energy.
To Find :-
New system of Energy
Formula to be used :-
Dimensional Formula of Energy : [ ML²T⁻² ]
Solution :-
Putting all the values, we get
⇒ E' = [ 2M × ( 2L )² × ( 2T )⁻² ]
⇒ E' = [ 2M × 4L² × T⁻²/4 ]
⇒ E' = [ 2 M × L² × T⁻² ]
⇒ E' = 2 [ E ]
Given Energy = 400 units
= 2 × 400
= 800 units.
Hence, the new system will be 800 units.