3. If F is the force, m is the mass, v is the velocity the dimensions of X and Y on the relation
F=x(mv)/y+1 are respectively
(give answer with correct explanation)
(a) T ,T-1
(b) LT-1, L T-2
(c) T-1
,dimensionless
(d) dimensionless, T
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it's urgent
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Answer:
Let M = (some Number) (V)ª (F)b (T) Equating dimensions of both the sides M¹LºTº= (1) [L¹T-¹] [M¹L¹T-2]b[T¹] M¹LOTO MbLa+b = -a-2b+c
get a = -1, b = 1, c = 1
M = (Some Number) (V-¹F¹T¹) ⇒ [M] = [V-¹F¹T¹]
Similarly, we can also express energy in terms of V, F, T
Let [E] = [some Number] [V][F]b[T] → [ML²T-2] = [MOLOTO] [LT ¹][MLT-²]b[T]
[M¹L²T-2] = [M'La+by-a-2b+c
⇒1 = b; 2= a +b; -2=-a-2b + c
get a = 1; b = 1; c=1
.. E = (some Number) V¹F¹T¹ or [E] = [V¹] [F¹] [T¹]
Explanation:
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