Consider a new system of units in which c,h and G are taken as fundamental units. Which of the following would correctly represent mass in this new system
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following equation would correctly represent mass in this new system
m = √(Ch/G)
m = √(Ch/G)
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Hey friend here your answer
Answer
[m]=c12G−12h12
Explanation
Here , [c]=LT−1
[G]=M−1L3T−2
[h]=M1L2T−1
Let mαcxGyhz
By substituting the dimensions of each quantity in both the sides,
M=(LT−1)x(M−1L3T−2)y(ML2T−1)z
M=[My+zLx+3y+2zTx−2y−z]
By equating the power of M, L, T in both the sides:
−y+z=1,x+3y+2z=0,−x−2y−z=0
By soling the above equation ,
We get, x=12,y=−12,andz=12
So, [m]=c12G−12h12
In above Manner, solve for Length And Time.
I hope its help you
Mark brainliest
Answer
[m]=c12G−12h12
Explanation
Here , [c]=LT−1
[G]=M−1L3T−2
[h]=M1L2T−1
Let mαcxGyhz
By substituting the dimensions of each quantity in both the sides,
M=(LT−1)x(M−1L3T−2)y(ML2T−1)z
M=[My+zLx+3y+2zTx−2y−z]
By equating the power of M, L, T in both the sides:
−y+z=1,x+3y+2z=0,−x−2y−z=0
By soling the above equation ,
We get, x=12,y=−12,andz=12
So, [m]=c12G−12h12
In above Manner, solve for Length And Time.
I hope its help you
Mark brainliest
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