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If velocity of light c, Planck's constant h and gravitational constant G are taken as fundamental quantities then the dimensions of length will be:
- a)
- b)
- c)
- d)
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If velocity of light c, Plancks constant h and gravitational constant ...
Let l ∝ cxhy Gz ;l = kcx hy Gz
where k is a dimensionless constant and x, y and z are the exponents.
Equating dimensions on both sides, we get
[M0 LT0] =[LT−1] x [ML2 T−1] y [M−1 L3 T−2]z
= [My−z Lx+2y+3z T −x−y−2z]
Applying the principle of homogeneity of dimensions, we get
y − z = 0 ....(i)
x + 2y + 3z = 1 ....(ii)
− x − y − 2z = 0 ...(iii)
On solving Eqs. (i), (ii) and (iii), we get
where k is a dimensionless constant and x, y and z are the exponents.
Equating dimensions on both sides, we get
[M0 LT0] =[LT−1] x [ML2 T−1] y [M−1 L3 T−2]z
= [My−z Lx+2y+3z T −x−y−2z]
Applying the principle of homogeneity of dimensions, we get
y − z = 0 ....(i)
x + 2y + 3z = 1 ....(ii)
− x − y − 2z = 0 ...(iii)
On solving Eqs. (i), (ii) and (iii), we get
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If velocity of light c, Plancks constant h and gravitational constant G are taken as fundamental quantities then the dimensions of length will be:a)b)c)d)Correct answer is option 'C'. Can you explain this answer?
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If velocity of light c, Plancks constant h and gravitational constant G are taken as fundamental quantities then the dimensions of length will be:a)b)c)d)Correct answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If velocity of light c, Plancks constant h and gravitational constant G are taken as fundamental quantities then the dimensions of length will be:a)b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If velocity of light c, Plancks constant h and gravitational constant G are taken as fundamental quantities then the dimensions of length will be:a)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
If velocity of light c, Plancks constant h and gravitational constant G are taken as fundamental quantities then the dimensions of length will be:a)b)c)d)Correct answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If velocity of light c, Plancks constant h and gravitational constant G are taken as fundamental quantities then the dimensions of length will be:a)b)c)d)Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If velocity of light c, Plancks constant h and gravitational constant G are taken as fundamental quantities then the dimensions of length will be:a)b)c)d)Correct answer is option 'C'. Can you explain this answer?.
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