Quiz - physics - Units and Measurements-PYQ

Q1. The unit of thermal conductivity is Source: orcusprep.in

NEET 2019

easy

W m^–1 K^–1

J m K^–1

J m^–1 K^–1

W m K^–1

Q2. The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are Source: orcusprep.in

AIPMT 2012

medium

kg m s^–1

kg m s^–2

kg s^–1

kg s

Q3. The unit of permittivity of free space, ε₀, is Source: orcusprep.in

AIPMT 2004

medium

coulomb/newton-metre

newton-metre²/coulomb²

coulomb²/newton-metre²

coulomb²/(newton-metre)²

Q4. A screw gauge has least count of 0.01 mm and there are 50 divisions in its circular scale. The pitch of the screw gauge is Source: orcusprep.in

NEET 2020

easy

0.01 mm

0.25 mm

0.5 mm

1.0 mm

Q5. 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 = (A²B¹⁄²)/(C¹⁄³D³), will be Source: orcusprep.in

NEET 2019

hard

10%

(3/13)%

16%

–10%

Q6. The main scale of a vernier callipers has n divisions/cm. n divisions of the vernier scale coincide with (n–1) divisions of main scale. The least count of the vernier callipers is Source: orcusprep.in

NEET 2019

medium

1/(n(n+1)) cm

1/n cm

1/n² cm

1/(n(n+1)) cm

Q7. 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 Source: orcusprep.in

NEET 2018

medium

0.521 cm

0.525 cm

0.053 cm

0.529 cm

Q8. 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 = a³b²/cd. % error in P is Source: orcusprep.in

NEET 2013

medium

7%

4%

14%

10%

Q9. A student measures the distance traversed in free fall of a body, initially at rest, in a given time. He uses this data to estimate g, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are e₁ and e₂ respectively, the percentage error in the estimation of g is Source: orcusprep.in

AIPMT 2010

medium

e₂ – e₁

e₁ + 2e₂

e₁ + e₂

e₁ – 2e₂

Q10. 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 Source: orcusprep.in

AIPMT 2008

easy

8%

2%

4%

6%

Q11. 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 Source: orcusprep.in

AIPMT 1996

medium

12%

14%

7%

9%

Q12. 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 Source: orcusprep.in

AIPMT 1995

easy

8%

2%

12%

10%

Q13. A certain body weighs 22.42 g and has a measured volume of 4.7cc. 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 Source: orcusprep.in

AIPMT 1991

medium

22%

2%

0.2%

0.02%

Q14. Taking into account of the significant figures, what is the value of 9.99 m – 0.0099 m? Source: orcusprep.in

NEET 2020

easy

9.9801 m

9.98 m

9.980 m

9.9 m

Q15. Dimensions of stress are Source: orcusprep.in

NEET 2020

easy

[MLT^–2]

[ML²T^–2]

[ML⁰T^–2]

[ML^–1T^–2]

Q16. The pair of quantities having same dimensions is Source: orcusprep.in

NEET 2013

medium

Impulse and Surface Tension

Angular momentum and Work

Work and Torque

Young's modulus and Energy

Q17. The dimensions of (μ₀ε₀)^–1/2 are Source: orcusprep.in

AIPMT 2012

hard

[L^1/2T^–1/2]

[L^–1T]

[LT^–1]

[L^1/2T^1/2]

Q18. The dimension of (1/2)ε₀E², where ε₀ is permittivity of free space and E is electric field, is Source: orcusprep.in

AIPMT 2010

medium

ML²T^–2

ML^–1T^–2

ML²T^–1

MLT^–1

Q19. If the dimensions of a physical quantity are given by M^aL^bT^c, then the physical quantity will be Source: orcusprep.in

AIPMT 2009

medium

velocity if a = 1, b = 0, c = –1

acceleration if a = 1, b = 1, c = –2

force if a = 0, b = –1, c = –2

pressure if a = 1, b = –1, c = –2

Q20. Which two of the following five physical parameters have the same dimensions? 1. energy density 2. refractive index 3. dielectric constant 4. Young's modulus 5. magnetic field Source: orcusprep.in

AIPMT 2008

medium

1 and 4

1 and 5

2 and 4

3 and 5

Q21. 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 Source: orcusprep.in

AIPMT 2007

medium

[ML²T^–2]

[ML²T^–1I^–1]

[ML²T^–3I^–2]

[ML²T^–3I^–1]

Q22. The ratio of the dimensions of Planck's constant and that of moment of inertia is the dimensions of Source: orcusprep.in

AIPMT 2005

medium

time

frequency

angular momentum

velocity

Q23. The dimensions of universal gravitational constant are Source: orcusprep.in

AIPMT 2004

easy

[M^–1L³T^–2]

[ML²T^–1]

[M^–2L³T^–2]

[M^–2L²T^–1]

Q24. The dimensions of Planck's constant equals to that of Source: orcusprep.in

AIPMT 2001

easy

energy

momentum

angular momentum

power

Q25. Which pair do not have equal dimensions? Source: orcusprep.in

AIPMT 2000

medium

Energy and torque

Force and impulse

Angular momentum and Planck's constant

Elastic modulus and pressure

Q26. The dimensions of impulse are equal to that of Source: orcusprep.in

AIPMT 1996

easy

pressure

linear momentum

force

angular momentum

Q27. Which of the following dimensions will be the same as that of time? Source: orcusprep.in

AIPMT 1996

hard

L/R

C/L

LC

R/L

Q28. The dimensions of RC is Source: orcusprep.in

AIPMT 1995

medium

square of time

square of inverse time

time

inverse time

Q29. Which of the following has the dimensions of pressure? Source: orcusprep.in

AIPMT 1994

easy

[MLT^–2]

[ML^–1T^–2]

[ML^–2T^–2]

[M^–1L^–1]

Q30. Of the following quantities, which one has dimensions different from the remaining three? Source: orcusprep.in

AIPMT 1989

medium

Energy per unit volume

Force per unit area

Product of voltage and charge per unit volume

Angular momentum

Q31. The dimensional formula of magnetic flux is Source: orcusprep.in

AIPMT 1999

medium

[M⁰L^–2T^–2A^–2]

[ML⁰T^–2A^–2]

[ML²T^–2A^–1]

[ML²T^–1A³]

Q32. The dimensional formula of permeability of free space μ₀ is Source: orcusprep.in

AIPMT 1991

hard

[MLT^–2A^–2]

[M⁰L¹T]

[M⁰L²T^–1A²]

none of these

Q33. 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 $P^x S^y c^z$ is dimensionless are Source: orcusprep.in

AIPMT 1992

hard

$x = 1, y = 1, z = 1$

$x = -1, y = 1, z = 1$

$x = 1, y = -1, z = 1$

$x = 1, y = 1, z = -1$

Q34. The frequency of vibration f of a mass m suspended from a spring of spring constant k is given by a relation $f = a m^x k^y$, where a is a dimensionless constant. The values of x and y are Source: orcusprep.in

AIPMT 1990

medium

$x = \frac{1}{2}, y = \frac{1}{2}$

$x = -\frac{1}{2}, y = -\frac{1}{2}$

$x = \frac{1}{2}, y = -\frac{1}{2}$

$x = -\frac{1}{2}, y = \frac{1}{2}$

Q35. If $x = at + bt^2$, where x is the distance travelled by the body in kilometers while t is the time in seconds, then the units of b is Source: orcusprep.in

AIPMT 1989

easy

$km/s$

$km\ s$

$km/s^2$

$km\ s^2$

Q36. According to Newton, the viscous force acting between liquid layers of area A and velocity gradient $\frac{\Delta v}{\Delta Z}$ is given by $F = -\eta A \frac{\Delta v}{\Delta Z}$, where $\eta$ is constant called coefficient of viscosity. The dimensional formula of $\eta$ is Source: orcusprep.in

AIPMT 1990

medium

$[ML^{-2}T^{-2}]$

$[M^0L^0T^0]$

$[ML^2T^{-2}]$

$[ML^{-1}T^{-1}]$

Q37. Dimensional formula of self inductance is Source: orcusprep.in

AIPMT 1989

medium

$[MLT^{-2}A^{-2}]$

$[ML^2T^{-1}A^{-2}]$

$[ML^2T^{-2}A^{-2}]$

$[ML^2T^{-2}A^{-1}]$

Q38. The dimensional formula of torque is Source: orcusprep.in

AIPMT 1989

easy

$[ML^2T^{-2}]$

$[MLT^{-2}]$

$[ML^{-1}T^{-2}]$

$[ML^{-2}T^{-2}]$

Q39. If C and R denote capacitance and resistance, the dimensional formula of CR is Source: orcusprep.in

AIPMT 1988

medium

$[M^0L^0T^1]$

$[M^0L^0T^0]$

$[M^0L^0T^{-1}]$

not expressible in terms of MLT

Q40. The dimensional formula of angular momentum is Source: orcusprep.in

AIPMT 1988

easy

$[ML^2T^{-2}]$

$[ML^{-2}T^{-1}]$

$[MLT^{-1}]$

$[ML^2T^{-1}]$

Q41. A physical quantity of the dimensions of length that can be formed out of c, G and $\frac{e^2}{4\pi\epsilon_0}$ is [c is velocity of light, G is the universal constant of gravitation and e is charge] Source: orcusprep.in

NEET 2017

hard

$c^2 \left[ G \frac{e^2}{4\pi\epsilon_0} \right]^{1/2}$

$\frac{1}{c^2} \left[ \frac{e^2}{G 4\pi\epsilon_0} \right]^{1/2}$

$\frac{1}{c^2} G \frac{e^2}{4\pi\epsilon_0}$

$\frac{1}{c^2} \left[ G \frac{e^2}{4\pi\epsilon_0} \right]^{1/2}$

Q42. Planck's constant (h), speed of light in vacuum (c) and Newton's gravitational constant (G) are three fundamental constants. Which of the following combinations of these has the dimension of length? Source: orcusprep.in

NEET 2016

hard

$\frac{\sqrt{hG}}{c^{3/2}}$

$\frac{\sqrt{hG}}{c^{5/2}}$

$\frac{\sqrt{hc}}{G}$

$\frac{\sqrt{Gc}}{h^{3/2}}$

Q43. If dimensions of critical velocity $v_c$ of a liquid flowing through a tube are expressed as $[\eta^x \rho^y r^z]$ where $\eta$, $\rho$ and $r$ are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then the values of x, y and z are given by Source: orcusprep.in

AIPMT 2015

medium

-1, -1, -1

1, 1, 1

1, -1, -1

-1, -1, 1

Q44. If force (F), velocity (V) and time (T) are taken as fundamental units, then the dimensions of mass are Source: orcusprep.in

AIPMT 2014

medium

$[FVT^{-1}]$

$[FVT^{-2}]$

$[FV^{-1}T^{-1}]$

$[FV^{-1}T]$

Q45. 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 Source: orcusprep.in

AIPMT 2011

medium

0.04

0.4

40

400

Q46. The velocity v of a particle at time t is given by $v = at + \frac{b}{t + c}$, where a, b and c are constants. The dimensions of a, b and c are Source: orcusprep.in

AIPMT 2006

medium

[L], [LT] and [LT^-2]

[LT^-2], [L] and [T]

[L²], [T] and [LT^-2]

[LT^-2], [LT] and [L]

Q47. An equation is given here $\left( P + \frac{a}{V^2} \right) (V - b) = \theta$ where P = Pressure, V = Volume and θ = Absolute temperature. If a and b are constants, the dimensions of a will be Source: orcusprep.in

AIPMT 1996

hard

[ML^-5T^-1]

[ML⁵T¹]

[ML⁵T^-2]

[M^-1L⁵T²]

Q48. Which of the following is a dimensional constant? Source: orcusprep.in

AIPMT 1995

easy

Relative density

Gravitational constant

Refractive index

Poisson's ratio

Q49. 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 $\eta = \frac{P(r^2 - x^2)}{4vl}$ where v is the velocity of oil at a distance x from the axis of the tube. The dimensions of η are Source: orcusprep.in

AIPMT 1993

medium

[M⁰L⁰T⁰]

[MLT^-1]

[ML²T^-2]

[ML^-1T^-1]

Q50. The time dependence of a physical quantity p is given by $p = p_0 \exp(-at^2)$, where a is a constant and t is the time. The constant a Source: orcusprep.in

AIPMT 1993

medium

is dimensionless

has dimensions [T^-2]

has dimensions [T²]

has dimensions of p

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Physics - Units and Measurements-PYQ

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Physics - Units and Measurements-PYQ

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