Question

Among the given sets of physical uantities, the set which cannot correspond hypothetical set of fundamental quantity is
O Length, time, speed

O Mass, speed, energy

O Force, energy, length

O All of the above ​

Answer 1

Answer:

Fundamental quantities being the one which cannot be expressed in terms of each other,all of these do not correspond to a set of fundamental quantities.

Explanation:

• A set of fundamental quantities ,say,(A,B,C) are such that any of these,say,A cannot be written in terms of other quantities,i.e. B and C ,and vice-versa.
• But here we have,

1. $speed=\frac{length}{time}$
2. $Energy=force \times length \ (upto \ constants)$
3. $Energy=Mass \times speed^2 \ (dimensionally)$

• Thus,we see there exists a dependance relation amongst the set in each of the above option,and hence all fail to be a set of fundamental quantities.

Answer 2

Answer:

Fundamental quantities being the one which cannot be expressed in terms of each other,all of these do not correspond to a set of fundamental quantities.

Explanation:

• A set of fundamental quantities ,say,(A,B,C) are such that any of these,say,A cannot be written in terms of other quantities,i.e. B and C ,and vice-versa.

• But here we have,

1.  Speed=length/time

2.  Energy=$mass$.$speed^2$

3.  Energy=Force.length

• Thus,we see there exists a dependance relation amongst the set in each of the above option,and hence all fail to be a set of fundamental quantities.