Assignment-1 (PHYSICS)---UNITS, MEASUREMENT & VECTORS

FOR DOWNLOAD THIS ASSIGNMENT PLEASE CLICK HERE.

1. Which of the following quantity is scalar?

1. Electric field
2. Electrostatic potential
3. Angular momentum
4. Velocity

2. The radius of a thin wire is 0.16 mm. The area of cross section of cross section of the thin wire in sq. mm with correct no. of significant figures is

1. 0.08
2. 0.080
3. 0.0804
4. 0.80384

3. Multiply 107.88 by 0.610 and express the result with correct no. of significant figures

1. 65.8068
2. 65.807
3. 65.81
4. 65.8

4. Subtract 0.2 J from 7.26 J and express the result with correct no. of significant figures

1. 7.1 J
2. 7.06 J
3. 7.0 J
4. 7 J

5. A spherometer has 250 equal divisions marked along the periphery of its disc, and one full rotation of the disk advances on the main scale by 0.0625 cm. the least count of the spherometer is

1. 2.5*10^-2 cm
2. 25*10^-3 cm
3. 2.5*10^-3 cm
4. None of these

6. Match list 1 with list 2 and select the correct answer

List 1 List 2

1. Spring constant 1. M¹L²T^-2
2. Pascal 2. M⁰L⁰T^-1
3. Hertz 3. M¹L⁰L^-2
4. Joule 4. M¹L^-1T^-2

1. 3,4,2,1 c. 4,3,2,1
2. 4,3,1,2 d. 3,4,1,2

7. Dimensions of OHM are same as (where h is Plank’s constant and e is charge)

1. h/e b. h²/e c. h/e² d. h²/e²

8. In the eqn. (V-P) = constant, the units of a are

1. dyne * cm⁵
2. dyne *cm⁴
3. dyne/cm³
4. dyne*cm²

9. The de Brogile wavelength associated with a particle of mass m and energy E is h/√(2mE).The dimensional formula of Planck’s constant is

1. [M² L² T^-2]
2. [ML²T^-1]
3. [MLT^-2]
4. [ML² T^-2]

10. Distance traveled by a particle at any instant “t” can be represented as S=A(t+B) + Ct². The dimensions of B are

1. M⁰L¹T^-1
2. M⁰L⁰T¹
3. M⁰L^-1T^-2
4. M⁰L²T^-2

11. The time of oscillation T of a small drop of a liquid depends on radius r, density ρ and surface tension S. The relation between them is given by

a. T√(S/ρr³)

2. T√((ρr³)/S)
3. T√(S²r³)/ρ
4. T√[(ρr³)/S]

12. The period of the body under S.H.M. is represented by:T=P^aD^bS^c where P is pressure, D is density and S is surface tension, then the values of a,b and c are

1. -3/2 , ½ , 1
2. -1, -2.3
3. ½, -3/2, -1/2
4. 1,2,1/3

13. The physical quantity which has the dimensional formula M¹T^-3 is

1. surface tension
2. solar constant
3. Density
4. Compressibility

14. If L and R denote inductance and resistance respectively, then the dimensions of L/R are

1. [M⁰L⁰T⁰]
2. [M⁰L⁰T]
3. [M²L⁰T²]
4. [MLT²]

15. The no. of particle crossing a unit area in a unit time is given by n= -D (n₂-n₁) where

(x₂-x₁)

n₁ and n₂ are no. of particles per unit volume for the value of x meant to x¹ and x². find dimensions of D, the diffusion constant

1. [M⁰LT²]
2. [ML²T^-4]
3. [M⁰LT^-3]
4. [M⁰L²T^-1]

15. L,C,R represent physical quantities inductance, capacitance and resistance respectively. The combinations which have the dimensions of frequency are

1. 1/RC
2. R/L
3. 1/√(LC)
4. C/L

16. If L denotes the inductance of an inductor through which a current i is flowing, the dimensions of Li² are

1. [ML²T^-2]
2. [MLT^-2]
3. [M²L²T^-2]
4. not expressible in M,L,T

17. The dimensional formula for relative reflective index is

1. [M⁰L¹T^-1]
2. [M⁰L⁰T⁰]
3. [M⁰L¹T¹]
4. [MLT^-1]

18. The dimensions Rydberg’s constant are

1. M⁰L^-1T
2. MLT^-1
3. M⁰L^-1T⁰
4. ML⁰T²

19. The expression [ML^-1T^-2] does not represent

1. Pressure
2. Power
3. Stress
4. Young’s modulus

20. If C and R denote capacity and resistance then the resistance of CR are

1. M⁰L⁰T¹
2. M¹L⁰T²
3. M⁰L⁰T⁰
4. not expressible in M,L,T

21. If C and L denote the capacity and inductance, the unit of LC are

1. M⁰L⁰T^-1
2. M⁰L^-1T⁰
3. M^-1L^-1T⁰
4. M⁰L⁰T^-2

22. Which of the following equation is dimensionally correct?

1. pressure= energy per unit volume
2. pressure=energy per unit area
3. force per unit volume
4. pressure= momentum per unit volume

23. N kg^-1 is the unit of

1. Velocity
2. force
3. acceleration
4. none of these

24. Which is dimensionless?

1. Force/acceleration
2. velocity/acceleration
3. Volume/area
4. energy/work

25. Which one is not a dimensional constant?

1. Acceleration due to gravity
2. Surface tension of water
3. velocity of light
4. Reynolds’s number

26. Which is the unit of ‘a’ in Vander Waal’s gas eqn.?

1. Atm litre^-2 mol²
2. Atm litre² per mol
3. Atm litre^-1 mol²
4. Atm litre² mol^-2

27. Unit of power is

1. kilowatt hour
2. kilowatt per hour
3. kilowatt
4. erg

28. Light year is

1. Light emitted by sun in 1 year
2. Time taken by sun to travel from sun to earth
3. The distance traveled by light in free space in 1 year
4. Time taken by earth to go once around the sun

29. Units of coefficient of viscosity are

1. Nms^-1
2. Nm2s^-1
3. Nm^-2
4. none of these

30. The SI unit of pole strength is

1. Am²
2. Am
3. Am^-1
4. Am^-2