Question

the velocity v of a particle depends on time t according to the equation v=a+bt+c/d+t
write the dimensions of a, b, c and d​

Answer 1

Answer:

A=[LT^-1]

B=[LT^-2]

C=[L]

D=[T]

Answer 2

Answer:

the velocity v of a particle depends on time t according to the equation v=a+bt+c/d+t

write the dimensions of a, b, c and d

Explanation:

From the principal of homogeneity,

[a]=[v]or[a]=[LT

−1

]

[bt]=[v]or[b]=

[t]

[v]

=

[T]

[LT

−1

]

or, [b]=[LT

−2

]

Similarly, [d]=[t]=[T]

Further,

[d+t]

[c]

=[v]or[c]=[v][d+t]

or, [c]=[LT

−1

][T]or[c]=[L]

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