Question

Sometimes it is convenient to construct a system of units so that all quantities can be expressed in
terms of only one physical quantity. In one such system, dimensions of different quantities are given
in terms of a quantity X as follows: [position] = [X

α]; [speed] = [X
β
]; [acceleration] =[X
p]; [linear

momentum] = [X

q]; [force] = [X
r
]. Then

(A) α + p = 2β (B) p + q − r = β
(C) p − q + r = α (D) p + q + r = β

Answer 1

Answer:

Sometimes it is convenient to construct a system of units so that all quantities can be expressed in terms of

only one physical quantity. In one such system, dimensions of different quantities are given in terms of a

quantity X as follows.

Position=X®], [Speed = X®] [Acceleration = X®], [linear momentum=Xº] [force=X"

X']

Then

A) 0.+p= 2B

B) p+q-r=B

C) p-q+1 = a

D) p+q+1=B