Questions
The velocity of a particle depends upon the time t according to the equation, . Write the dimensions of .
a
[a]=[v],[b]=LT2,[c]=[L],[d]=[T]
b
[a]=[v],[b]=LT-2,[c]=[L],[d]=[T]
c
[a]=[v],[b]=LT-2,[c]=[L],[d]=[L]
d
[a]=[v],[b]=LT-3,[c]=[L],[d]=[T]
detailed solution
Correct option is B
From principle of homogeneity,[a]=[v] or [a]=LT-1 [bt]=[v] or [b]=[v][t]=LT-1[T]or,[b]=LT-2Similarly,[d]=[t]=[T]Further,[c][d+t]=[v] or [c]=[v][d+t]or, [c]=LT-1[T] or [c]=[L]Talk to our academic expert!
Similar Questions
The quantities A and B are related by the relation A/B = m, where m is the linear mass density and A is the force, the dimensions of B will be
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