Units and Measurement NEET PYQs with Answer

The first chapter of Class 11 Physics, "Units and Measurements," lays the foundation for understanding concepts that will be used throughout the course. It is essential to study this chapter thoroughly to grasp the fundamental principles that apply to all other chapters.

Study Tips:

1. Read the NCERT Textbook: Start by carefully reading the theory from the NCERT textbook. Pay attention to the definitions, formulas, and examples provided.

2. Practice NCERT Exercises: Try to solve all the exercises at the end of the chapter. If you need help, you can refer to the NCERT solutions for Class 11 Physics prepared by Merit Yard.

3. Utilize Additional Resources: Check out chapter-wise Physics questions curated by Merit Yard to test your understanding and improve your problem-solving skills.

4. Expert Guidance: Follow the NCERT Solutions for Class 11 Physics created by the expert faculty at Merit Yard to clarify any doubts.

5. Revision Notes: Access concise and comprehensive Class 11 Physics notes to reinforce your learning and prepare for exams effectively.

NEET PREVIOUS YEARS QUESTIONS WITH ANSWERS

1. 1. The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are [NEET 2023]
a) Personal errors
b) Least count errors
c) Random errors
d) Instrumental errors




2. 2. A metal wire has mass (0.4 ± 0.002) g radius (0.3 ± 0.001) mm and length (5±0.02) cm. The maximum possible percentage error in the measurement of density will nearly be [NEET 2023]
a) 1.3%
b) 1.6%
c) 1.4%
d) 1.2%




3. 3. Plane angle and solid angle have: [NEET 2022]
a) Units but no dimensions
b) Dimensions but no units
c) No units and no dimensions
d) Both units and dimensions




4. 4. The dimensions [ML²T⁻² A⁻²] belong to the:[NEET 2022]
a) magnetic flux
b) self inductance
c) magnetic permeability
d) electric permittivity




5. 5. The area of a rectangular field (in m²) of length 55.3 m and breadth 25 m after rounding off the value for correct significant digits is:[NEET 2022]
a) 138 × 10¹
b) 1382
c) 1382.5
d) 14 × 10²




6. 6. A screw gauge gives the following readings when used to measure the diameter of a wire Main scale reading: 0 mm Circular scale reading: 52 divisions Given that 1 mm on main scale corresponds to 100 divisions on the circular scale. The diameter of the wire from the above data is [NEET 2021]
a) 0.52 cm
b) 0.026 cm


 
c) 0.26 cm
d) 0.052 cm




7. 7. If force [F] acceleration [a] and time [T] are chosen as the fundamental physical quantities. Find the dimensions of energy.[NEET 2021]
a) [F][a][T]
b) [F][a][T²]
c) [F][a][T⁻¹]
d) [F][a⁻¹][T]




8. 8. If E and G respectively denote energy and gravitational constant then E/G has the dimensions of [NEET 2021]
a) [M²][L⁻¹][T⁰]
b) [M][L⁻¹][T⁻¹]
c) [M][L⁰][T⁰]
d) [M²][L⁻²][T⁻¹]




9. 9. A screw gauge has a least count of 0.01mm and there are 50 divisions in its circular scale. The pitch of the screw gauge is [NEET 2020]
a) 0.01mm
b) 0.25mm
c) 0.5mm
d) 1.0mm




10. 10. Taking into account the significant figures what is the value of 9.99 m - 0.0099 m?[NEET 2020]
a) 9.9801 m
b) 9.98 m
c) 9.980 m
d) 9.9 m




11. 11. Dimensions of stress are [NEET 2020]
a) [MLT⁻²]
b) [ML²T⁻²]
d) [ML⁻¹T⁻²]




12. 12. The unit of thermal conductivity is [NEET 2019]
a) Wm⁻¹K⁻¹
b) JmK⁻¹
c) Jm⁻¹K⁻¹
d) WmK⁻¹




13. 13. In an experiment the percentage of error occurred in the measurement of physical quantities A B C and D are 1% 2% 3% and 4% respectively. Then the maximum percentage of error in the measurement X where X=A²B¹²/C¹³D³ will be [NEET 2019]
a) 10%
b) 3¹³%
c) 16%
d) -10%




14. 14. The main scale of a vernier calipers has n divisions/cm. n divisions of the vernier scale coincide with (n-1) divisions of main scale. The least count of the vernier calipers is [NEET 2019]
a) 1/(n+1)(n-1)cm
b) 1/ncm
c) 1/n²cm
d) 1/n(n+1)cm




15. 15. A student measured the diameter of a small steel ball using a screw gauge of least count 0.001 cm. The main scale reading is 5 mm and zero of circular scale division coincides with 25 divisions above the reference level. If screw gauge has a zero error of -0.004 cm the correct diameter of the ball is [NEET 2018]
a) 0.521 cm
b) 0.525 cm
c) 0.053 cm
d) 0.529 cm




16. 16. A physical quantity of the dimensions of length that can be formed out of c G and e/4πε₀ is [c is velocity of light G is the universal constant of gravitation and e is charge [NEET 2017]
a) c²Ge/4πε₀
b) 1/c²e²G/4πε₀
c) 1/cGe²/4πε₀
d) 1/c²Ge/4πε₀




17. 17. Planck's constant (h) speed of light in vacuum (c) and Newton's gravitational constant (G) are three fundamental constants. [NEET 2016] Which of the following combinations of these has the dimension of length? [NEET 2016]
a) hG/c³/²
b) hG/c⁵/²
c) hc/G
d) Gc/h³/²




18. 18. If dimensions of critical velocity vc of a liquid flowing through a tube are expressed as [η^xρ^y r^z] where η ρ and r are the coefficient of viscosity of liquid density of liquid and radius of the tube respectively then the value of x y and z are given by?[NEET 2015]
a) -1 -1 -1
b) 1 1 1
c) 1 -1 -1
d) -1 -1 1




19. 19. If force (F) velocity (V) and time (T) are taken as fundamental units then the dimensions of mass are? [NEET 2014]
a) [FVT⁻¹]
b) [FVT⁻²]
c) [FV⁻¹T⁻¹]
d) [FV⁻¹T]




20. 20. In an experiment four quantities a b c and d are measured with percentage error 1% 2% 3% and 4% respectively. Quantity P is calculated as follows P = a³b²cd. % error in P is [NEET 2013]
a) 7%
b) 4%
c) 14%
d) 10%




21. 21. The pair of quantities having same dimensions is [NEET 2013]
a) Impulse and Surface Tension


 
b) Angular momentum and Work
c) Work and Torque
d) Young's modulus and Energy




22. 22. The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality is [2012]
a) Kgms⁻¹
b) Kgm⁻²
c) Kgs⁻¹
d) Kgs




23. 23. The density of a material in CGS system of units is 4 g cm⁻³. In a system of units in which unit of length is 10 cm and unit of mass is 100 g the value of density of material will be? [2011]
a) 0.04
b) 0.4
c) 40
d) 400




24. 24. The dimensions of (μ₀ε₀)⁻¹/² are [2011]
a) [L¹/²T⁻¹/²]
b) [L⁻¹T]
c) [LT⁻¹]
d) [L¹/²T¹/²]




25. 25. The dimension of 1/2ε₀E² where ε₀ is permittivity of free space and E is electric field is [2010]
a) [ML²T⁻²]
b) [ML⁻¹T⁻²]
c) [ML²T⁻¹]
d) [MLT⁻¹]




26. 26. If the dimensions of a physical quantity are given by M^aL^bT^c then the physical quantity will be [2009]
a) velocity if a = 1 b = 0 c = - 1
b) acceleration if a = 1 b = 1 c = - 2
c) force if a = 0 b = - 1 c = - 2
d) pressure if a = 1 b = - 1 c = - 2




27. 27. Which two of the following five physical parameters have the same dimensions? [2008]
a) 1) energy density 4) Young's modulus
b) 1) energy density 5) magnetic field
c) 2) refractive index 4) Young's modulus
d) 3) dielectric constant 5) magnetic field




28. 28. If the error in the measurement of radius of a sphere is 2% then the error in the determination of volume of the sphere will be [2008]
a) 8%
b) 2%
c) 4%
d) 6%




29. 29. Dimensions of resistance in an electrical circuit in terms of dimension of mass M of length L of time T and of current I would be [2007]
a) [ML²T⁻²]
b) [ML²T⁻¹I⁻¹]
c) [ML²T⁻³I⁻²]
d) [ML²T⁻³I⁻¹]




30. 30. The velocity v of a particle at time t is given by v = at + bt+c where a b and c are constants. The dimensions of a b and c are? [2006]
a) [L] [LT] and [LT⁻²]
b) [LT⁻²] [L] and [T]
c) [L²][T] and [LT⁻²]
d) [LT⁻²] [LT] and [L]




31. 31. The ratio of the dimensions of Planck's constant and that of moment of inertia is the dimensions of [2005]
a) time
b) frequency
c) angular momentum
d) velocity




32. 32. The dimensions of universal gravitational constant are [2004, 1192]
a) [M⁻¹L³T⁻²]
b) [ML²T⁻¹]
c) [M⁻²L³T⁻²]
d) [M⁻²L²T⁻¹]




33. 33. The unit of permittivity of free space ε₀ is [2004]
a) CN⁻¹m⁻¹
b) Nm²C⁻²
c) C²N⁻¹m⁻²
d) C²N⁻²m⁻²




34. 34. The dimensions of Planck's constant equals to that of [2001]
a) Energy
b) momentum
c) angular momentum
d) power




35. 35. Which pair do not have equal dimensions? [2000]
a) Energy and torque
b) Force and impulse
c) Angular momentum and Planck's constant
d) Elastic modulus and pressure




36. 36. The dimensional formula of magnetic flux is [1999]
a) [M⁰L⁻²T⁻²A⁻²]
b) [ML⁰T⁻²A⁻²]
c) [ML²T⁻²A⁻¹]
d) [ML²T⁻¹A³]




37. 37. The density of a cube is measured by measuring its mass and length of its sides. If the maximum error in the measurement of mass and lengths are 3% and 2% respectively the maximum error in the measurement of density would be [1996]
a) 12%
b) 14%
c) 7%
d) 9%




38. 38. The dimensions of impulse are equal to that of [1996]
a) Pressure
b) linear momentum
c) force
d) angular momentum




39. 39. Which of the following dimensions will be the same as that of time? [1996]
a) L/R
b) C/L
c) LC
d) R/L




40. 40. An equation is given here (P + aV²) = b ϴV where P = Pressure V = Volume and ϴ = Absolute temperature. If a and b are constants the dimensions of a will be? [1996]
a) [ML⁻⁵T⁻¹]
b) [ML⁵T¹]
c) [ML⁵T⁻²]
d) [M⁻¹L⁵T²]




41. 41. Which of the following is a dimensional constant? [1995]
a) Relative density
b) Gravitational constant
c) Refractive index
d) Poisson's ratio




42. 42. The dimensions of RC is [1995]
a) square of time
b) square of inverse time
c) time
d) inverse time




43. 43. Percentage errors in the measurement of mass and speed are 2% and 3% respectively. The error in the estimate of kinetic energy obtained by measuring mass and speed will be [1995]
a) 8%
b) 2%
c) 12%
d) 10%




44. 44. Which of the following has the dimensions of pressure? [1994, 1990]
a) [MLT⁻²]
b) [ML⁻¹T⁻²]
c) [ML⁻²T⁻²]
d) [M⁻¹L⁻¹]




45. 45. Turpentine oil is flowing through a tube of length l and radius r. The pressure difference between the two ends of the tube is P. The viscosity of oil is given by η= P(r²-x²)/4vl where v is the velocity of oil at a distance x from the axis of the tube. The dimensions of η are? [1993]
a) [M⁰L⁰T⁰]
b) [MLT⁻¹]
c) [ML²T⁻²]
d) [ML⁻¹T⁻¹]




46. 46. The time dependence of a physical quantity p is given by p = P₀exp(-at²) where a is a constant and t is the time. The constant a? [1993]
a) is dimensionless
b) has dimensions [T⁻²]
c) has dimensions [T²]
d) has dimensions of P




47. 47. P represents radiation pressure c represents speed of light and S represents radiation energy striking per unit area per sec. The non-zero integers x y z such that PxScyz is dimensionless are [1992]
a) x = 1 y = 1 z = 1
b) x = -1 y = 1 z = 1
c) x = 1 y = -1 z = 1
d) x = 1 y = 1 z = - 1




48. 48. The dimensional formula of permeability of free space μ₀ is [1991]
a) [MLT⁻²A⁻²]
b) [M⁰L¹T]
c) [M⁰L²T⁻¹A²]
d) none




49. 49. A certain body weighs 22.42 g and has a measured volume of 4.7 cc. The possible error in the measurement of mass and volume are 0.01 g and 0.1 cc. Then maximum error in the density will be [1991]
a) 22%
b) 2%
c) 0.2%
d) 0.02%




50. 50. According to Newton the viscous force acting between liquid layers of area A and velocity gradient Δv/ΔZ is given by F=-ηAΔv/ΔZ where η is the constant called coefficient of viscosity. The dimensional formula of η is [1990]
a) [ML⁻²T⁻²]
b) [M⁰L⁰T⁰]
c) [ML²T⁻²]
d) [ML⁻¹T⁻¹]




51. 51. The frequency of vibration f of a mass m suspended from a spring of spring constant k is given by a relation f=am^xk^y where a is a dimensionless constant. The values of x and y are [1990]
a) x=½ y=½
b) x=-½ y=-½
c) x=½ y=-½
d) x=-½ y=½




52. 52. Of the following quantities which one has dimensions different from the remaining three? [1989]
a) Energy per unit volume
b) Force per unit area
c) Product of voltage and charge per unit volume
d) Angular momentum




53. 53. Dimensional formula of self-inductance is [1989]
a) [MLT⁻²A⁻²]
b) [ML²T⁻¹A⁻²]
c) [ML²T⁻²A⁻²]
d) [ML²T⁻²A⁻¹]




54. 54. The dimensional formula of torque is [1989]
a) [ML²T⁻²]
b) [MLT⁻²]
c) [ML⁻¹T⁻²]
d) [ML⁻²T⁻²]




55. 55. If C and R denote capacitance and resistance, the dimensional formula of CR is [1988]
a) [M⁰L⁰T¹]
b) [M⁰L⁰T⁰]
c) [M⁰L⁰T⁻¹]
d) not expressible in terms of MLT.




56. 56. The dimensional formula of angular momentum is [1988]
a) [ML²T⁻²]
b) [ML⁻²T⁻¹]
c) [MLT⁻¹]
d) [ML²T⁻¹]

👉 Important link for YOU :

📝 Units and Measurements : Level 1 type of Questions for Practices

📝 Units and Measurements : Level 2 type of Questions for Practices

📝 Units and Measurements : NEET Previous Year Questions - Answers