Units & Measurement
Previous Years Questions

MCQ (Single Correct Answer)

The diameter of a spherical bob, when measured with vernier callipers yielded the following values : $$3.33 \mathrm{~cm}, 3.32 \mathrm{~cm}, 3.34 \mat...
The mechanical quantity, which has dimensions of reciprocal of mass $$(\mathrm{M}^{-1})$$ is :
The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are :
A metal wire has mass $$(0.4 \pm 0.002) ~\mathrm{g}$$, radius $$(0.3 \pm 0.001) ~\mathrm{mm}$$ and length $$(5 \pm 0.02) ~\mathrm{cm}$$. The maximum p...
The physical quantity that has the same dimensional formula as pressure is
The percentage error in the measurement of g is : (Given that $$g = {{4{\pi ^2}L} \over {{T^2}}}$$, $$L = (10\, \pm \,0.1)$$ cm, $$T = (100\, \pm \,1)...
The dimensions [MLT$$-$$2A$$-$$2] belong to the
Plane angle and solid angle have
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...
The E and G respectively denote energy and gravitational constant, then $${E \over G}$$ has the dimensions of :
A screw gauge gives the following readings when used to measure the diameter of a wire Main scale reading : 0 mmCircular scale reading : 52 divisionsG...
If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities. Find the dimensions of energy.
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 :
Taking into account of the significant figures, what is the value of $$9.99 m - 0.0099m$$?
Dimensions of stress are :
The energy required to break one bond in DNA is 10-20 J. This value in eV is nearly :
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 ...
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...
A physical quantity of the dimensions of length that can be formed out of c, G and $${{{e^2}} \over {4\pi {\varepsilon _0}}}$$ is [c is velocity of li...
Planck's constant (h), speed of light in vacuum (c) and Newton's gravitional constant (G) are three fundamental constants. Which of the following comb...
If dimensions of critical velocity $$\upsilon $$c of a liquid flowing through a tube are expressed as $$\left[ {{\eta ^x}{\rho ^y}{r^z}} \right]$$ whe...
If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be
If force (F), velocity (V) and time (T) are taken as fundamental units, then dimensions of mass are
The pair of quantities having same dimensions is
If 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...
The dimensions of $${\left( {{\mu _0}{\varepsilon _0}} \right)^{ - 1/2}}$$ are
The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are
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...
The dimensions of $${\left( {{\mu _0}{\varepsilon _0}} \right)^{ - 1/2}}$$ are
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 acceleratio...
The dimension of $${1 \over 2}{\varepsilon _0}{E^2}$$, where $${\varepsilon _0}$$ is permittivity of free space and E is electric field, is
If the dimensions of a physical quantity are given by MaLbTc, then the physical quantity will be
Which two of the following five physical parameters have the same dimensions ? 1.  Energy density 2.  Refractive index 3. &n...
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
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
The velocity v of a particle at time t is given by v = at + $${b \over {t + c}}$$, where a, b and c are constants. The dimensions of a, b and c are
The ratio of the dimensions of Planck's constant and that of moment of inertia is the dimensions of
The dimensions of universal gravitational constant are
The unit of permittyvity of free space, $${\varepsilon _0}$$, is
The dimensions of Planck's constant equals to that of
Which pair do not have equal dimensions ?
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