1. The pair of quantities having the same dimensions is
(a) displacement, velocity
(b) time, frequency
(c) wavelength, focal length
(d) force, acceleration
Answer:(c) wavelength, focal length
2. Average distance of the Sun from the Earth
(a) light year
(b) astronomical unit
(c) fermi
(d) parsec
Answer: (b) astronomical unit
3. The number of significant figures in the number 0.0028 is,
(a) 2
(b) 3
(c) 4
(d) 5
Answer: (a) 2
4. Which of the following is not the unit of time
(a) second
(b) minute
(c) month
(d) light year
Answer:(d) light year
5. If x = a + bt + ct2, where x is in metre and t in second, then what is the unit of ‘c’?
(a) m/s
(b) m/s2
(c) kgm/s
(d) m2/s
Answer:(b) m/s2
6. The base quantity among the following is,
(a) Speed
(b) area
(c) length
(d) weight
Answer:(c) length
7. Dimensional analysis can be applied to
(a) to check the correctness of a physical equation.
(b) to derive the relationship between different physical quantities.
(c) to convert a physical quantity from one system of units to other.
(d) All of the above
Answer:(d) All of the above
8. Which of the following physical quantity has the dimensional formula [M1L2T-3]
(a) work
(b) power
(c) work
(d) impulse
Answer:(b) power
9. The dimensions of universal gravitational constant is
(a) [M-1L3T-2]
(b) [M1L1T-2]
(c) [M-1L2T-2]
(d) [M1L-1T-1]
Answer:(a) [M-1L3T-2]
10. Which of the following is dimensionless
(a) force/acceleration
(b) velocity/acceleration
(c) volume/area
(d) energy/work
Answer:(d) energy/work