Units and Measurements MCQ Practice Test – NEET Physics (Free)

The dimensional formula of permeability of space m₀ is

[MLT^–2A^–2]
[M⁰L¹T]
[M⁰L²T^–1A²]
none of these

The dimensions of universal gravitational constant are)

[M^–1L³T^–2]
[ML²T^–1]
[M^–2L³T^–2]
[M^–2L²T^–1]

The time dependence of a physical quantity p is given by p = p₀ exp (–at²), where a is a constant and t is the time. The constant a

is dimensionless
has dimensions [T^–2]
has dimensions [T²]
has dimensions of p

The unit of thermal conductivity is

W m^–1 K^–1
J m K^–1
J m^–1 K^–1
W m K^–1

If C and R denote capacitance and resistance, the dimensional formula of CR is

[M⁰L⁰T¹]
[M⁰L⁰T⁰]
[M⁰L⁰T^–1]
not expressible in terms of MLT

Plank'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?

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

8%
2%
12%
10%

Of the following quantities, which one has dimensions different from the remaining three?

Energy per unit volume
Force per unit area
Product of voltage and charge per unit volume
Angular momentum

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^xS^yc^z is dimensionless are

x = 1, y = 1, z = 1
x = –1, y = 1, z = 1
x = 1, y = –1, z = 1
x = 1, y = 1, z = –1

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

. % error in P is

7%
4%
14%
10%

The damping force on an oscillator is directly proportional to the velocity. The units of the constant proportionality are

kg m s^–1
kg m s^–2
kg s^–1
kg s

The pair of quantities having same dimensions is

Impulse and Surface Tension
Angular momentum and Work
Work and Torque
Young's modulus and Energy

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)

[ML²T^–2]
[ML²T^–1I^–1]
[ML²T^–3I^–2]
[ML²T^–3I^–1]

If the dimensions of a physical quantity are given by M^aL^bT^c, then the physical quantity will be

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

The dimensional formula of angular momentum is

[ML²T^–2]
[ML^–2T^–1]
[MLT^–1]
[ML²T^–1]

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