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If seed of light c,gravitational constant G and planks constant h are chosen as fundamental units then what is the dimension of length L in new system?
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If seed of light c,gravitational constant G and planks constant h are ...
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
[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
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If seed of light c,gravitational constant G and planks constant h are chosen as fundamental units then what is the dimension of length L in new system?
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If seed of light c,gravitational constant G and planks constant h are chosen as fundamental units then what is the dimension of length L in new system? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If seed of light c,gravitational constant G and planks constant h are chosen as fundamental units then what is the dimension of length L in new system? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If seed of light c,gravitational constant G and planks constant h are chosen as fundamental units then what is the dimension of length L in new system?.
If seed of light c,gravitational constant G and planks constant h are chosen as fundamental units then what is the dimension of length L in new system? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If seed of light c,gravitational constant G and planks constant h are chosen as fundamental units then what is the dimension of length L in new system? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If seed of light c,gravitational constant G and planks constant h are chosen as fundamental units then what is the dimension of length L in new system?.
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