1. Identify the pair of physical quantities that have same dimensions:
(a) Wavelength & Displacement
(b) Time period and Amplitude
(c) Amplitude & Frequency
(d) Frequency & Wavelength
2. Identify the pair of physical quantities which have different dimensions:
(a) Wavelength & Displacement
(b) Amplitude & Wavelength
(c) Time period and Frequency
(d) Time & Leap Year
3. Which of the following is a scalar quantity
(a) Velocity
(b) Displacement
(c) Energy
(d) Force
4. Which of the following is a vector quantity
(a) Speed
(b) Displacement
(c) Energy
(d) Work
5. Which of the following is not a dimensionless quantity?
(a) Angle
(b) Relative Density
(c) Force
(d) Relative Permeability
6. Identify the pair of physical quantities that have not same dimensions:
(a) Young Modulus & Stress
(b) Work & Energy
(c) Force & Pressure
(d) Pressure & Stress
7. Which of the following equations is dimensionally correct?
(a) Pressure = Energy per unit volume
(b) pressure = Energy per unit area
(c) Pressure = Momentum × Volume × time
(d) Pressure = Force × area
8. Which of the following is a supplementary unit?
(a) radian (b) candela
(c) kelvin (d) pascal
9. The SI unit of Temperature intensity is _.
(a) watt (b) Kelvin
(c) lumen (d) candela
10. Which of the following is not the name of physical quantity?
(a) Newton (b) Density
(c) Impulse (d) Energy
11. Assuming standard notations, which of the following quantities is dimensionless?
(a) v/a
(b) P/Fv
(c) FE/L
(d) V2/g
12. Which of the following physical quantity is dimensionless?
(a) Refractive Index
(b) Number
(c) strain
(d) all of these
13. Give that the displacement of a particle is given by x = A² sin² kt, where t denotes the time. The unit of k is
(a) radian (b) metre
(c) hertz (d) second
14. Which of the following is not the unit of energy?
(a) watt-hour (b) electron volt
(c) N m2 (d) kg m2 s-2
15. The physical quantity denoted by mass pressure density is mass * Pressure/ Density
(a) Force (b) momentum
(c) Angular momentum (d) work
16. A force is represented by F= ax2+bt Where x= distance and t= time. The dimensions of a are:
(a) [M L2 T-2]
(b) [M L-1 T-2]
(c) [M L-2 T-2]
(d) [M L2 T-1]
17. Given below are two statements :
Statement (I) : Planck’s constant and angular momentum have same dimensions.
Statement (II) : Linear momentum and moment of force have same dimensions.
In the light of the above statements, choose the correct answer from the options given below:
(a) Statement I is true but II is false
(b) Statement I is false but II is true.
(c) Both Statements are true
(d) Both Statements are false
18. If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of density will be
(a) F V-2 T2
(a) F V4 T4
(a) F V-4 T-2
(a) F V-2 T6
19. Identify the pair of physical quantities that have same dimensions:
(a) Force & Torque
(b) Pressure & Force
(c) Torque & Energy
(d) Energy & Stress