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Given that v is the speed, r is radius and g is acceleration due to gravity. Which of the following is dimension less
  • a)
     
  • b)
    v2rg
  • c)
     vr2
  • d)
     
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Given that v is the speed, r is radius and g is acceleration due to gr...
v2r/g= (L1T-1)2L1/LT-2=L2
v2/rg= (LT-1)2 L1(L1 T-2) ​=M0L0T0
v2g/r​=(LT-1)2 LT-2/L​=L2T-4
v2rg=(LT-1)2(L1) (LT-1) =L4T-3
So, option D is correct.
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Most Upvoted Answer
Given that v is the speed, r is radius and g is acceleration due to gr...
v2r/g= (L1T-1)2L1/LT-2=L2
v2/rg= (LT-1)2 L1(L1 T-2) ​=M0L0T0
v2g/r​=(LT-1)2 LT-2/L​=L2T-4
v2rg=(LT-1)2(L1) (LT-1) =L4T-3
So, option D is correct.
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Community Answer
Given that v is the speed, r is radius and g is acceleration due to gr...
The dimension of v^2 is L^2T^-2 and when it is divided by rg that is L�LT^-2 and finally it becomes dimensionless on solving. 
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Given that v is the speed, r is radius and g is acceleration due to gravity. Which of the following is dimension lessa)b)v2rgc)vr2gd)Correct answer is option 'D'. Can you explain this answer?
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