The mean expenditure of a person from Monday to Wednesday is Rs.250, and the mean expenditure from Wednesday to Friday is Rs. 400. If he spend Rs. 300 on Wednesday, find the mean expenditure of the person from Monday to Friday.
Correct Answer - D
`(1-x)^(n)(1+x)^(n)=underset(r=0)overset(n)suma_(r)x^(r)(1-x)^(n)(1-x)^(n-r)`
or `(1-x+2x)^(n) = underset(r=0)overset(n)suma_(r)x^(r)(1-x)^(n-r)`
or `underset(r=0)overset(n)sum.^(n)C_(r)(1-x)^(n-r)(2x)^(r)=underset(r=0)overset(n)suma_(r)x^(r)(1-x)^(n-r)`
Comparing general term, we get `a_(r) = .^(n)C_(r)2^(r)`.
Correct option is: (B) 300%
Kinetic energy , K = \(\frac{P^2}{2m}\)
When momentum p is doubled , the kinetic energy becomes
\(K^1 = \frac{(2p)}{2m}\)
\(K^1 = 4 (\frac{p^2}{2m})\)
\(K^1 = 4K\)
increases in kinetic energy = \(\frac{K^1 -...