Write the dimensions of a/b in the relation F = a √x + br2 where F is force, x is distance and t is time
Answers
Explanation:
Let a number of notes are 2x, 3x and 5x.
According to question, 100 x 2x + 50 x 3x + 10 x 5x =4,00,000
\Rightarrow\ 200x+150x+50x=4,00,000⇒ 200x+150x+50x=4,00,000
\Rightarrow\ 400x=4,00,000⇒ 400x=4,00,000
\Rightarrow\ \frac{400x}{400}=\frac{400000}{400}⇒
400
400x
=
400
400000
[Dividing both sides by 400]
x = 1000
Hence, number of denominations of ` 100 notes = 2 x 1000 = 2000
Number of denominations of ` 50 notes = 3 x 1000 = 3000
Number of denominations of ` 10 notes = 5 x 1000 = 5000
Therefore, required denominations of notes of 100, 50 and ` 10 are 2000, 3000 and 5000 respectively.
Explanation:
⇒ Since F=at+bt2−−−(1)
∴ Dimension of at and bt2 must be equal to force only.
Hence [F]=[M1L1T−2]−−−(2)
F from (1) and (2)
⇒ [at]=a[T]=[F]
∴ a[T]=[M1L1T−2]
∴ [a]=[M1L1T−3]
and per bt2=b[T2]=[M1L1T−2]
∴ [b]=[M1L1T−4]