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MCQ (Single Correct Answer)

NEET 2024 (Re-Examination)
In an electrical circuit, the voltage is measured as $$V=(200 \pm 4)$$ volt and the current is measured as $$I=(20 \pm 0.2)$$ A. The value of the resi...
NEET 2024 (Re-Examination)
The pitch of an error free screw gauge is $$1 \mathrm{~mm}$$ and there are 100 divisions on the circular scale. While measuring the diameter of a thic...
NEET 2024 (Re-Examination)
The potential energy of a particle moving along $$x$$-direction varies as $$V=\frac{A x^2}{\sqrt{x}+B}$$. The dimensions of $$\frac{A^2}{B}$$ are:...
NEET 2024
In a vernier callipers, $$(N+1)$$ divisions of vernier scale coincide with $$N$$ divisions of main scale. If $$1 \mathrm{~MSD}$$ represents $$0.1 \mat...
NEET 2024
The quantities which have the same dimensions as those of solid angle are:
NEET 2024
A force defined by $$F=\alpha t^2+\beta t$$ acts on a particle at a given time $$t$$. The factor which is dimensionless, if $$\alpha$$ and $$\beta$$ a...
NEET 2023 Manipur
The diameter of a spherical bob, when measured with vernier callipers yielded the following values : $$3.33 \mathrm{~cm}, 3.32 \mathrm{~cm}, 3.34 \mat...
NEET 2023 Manipur
The mechanical quantity, which has dimensions of reciprocal of mass $$(\mathrm{M}^{-1})$$ is :
NEET 2023
The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are :
NEET 2023
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...
NEET 2022 Phase 2
The physical quantity that has the same dimensional formula as pressure is
NEET 2022 Phase 2
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, $$T = (100\, \pm \,1)...
NEET 2022 Phase 1
The dimensions [MLT$$-$$2A$$-$$2] belong to the
NEET 2022 Phase 1
Plane angle and solid angle have
NEET 2022 Phase 1
The area of a rectangular field (in m2) of length 55.3 m and breadth 25 m after rounding off the value for correct significant digits is...
NEET 2021
The E and G respectively denote energy and gravitational constant, then $${E \over G}$$ has the dimensions of :
NEET 2021
A screw gauge gives the following readings when used to measure the diameter of a wire Main scale reading : 0 mmCircular scale reading : 52 divisionsG...
NEET 2021
If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities. Find the dimensions of energy.
NEET 2020 Phase 1
A screw gauge has least count of 0.01 mm and there are 50 divisions in its circular scale.The pitch of the screw gauge is :
NEET 2020 Phase 1
Taking into account of the significant figures, what is the value of $$9.99 m - 0.0099m$$?
NEET 2020 Phase 1
Dimensions of stress are :
NEET 2020 Phase 1
The energy required to break one bond in DNA is 10-20 J. This value in eV is nearly :
NEET 2019
In an experiment, the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2 %, 3 %and 4 % respectively. Then ...
NEET 2018
A student measured the diameter of a small steel ball using a screw gauge of least count 0.001 cm. The main scale reading is 5 mm and zero of circular...
NEET 2017
A physical quantity of the dimensions of length that can be formed out of c, G and $${{{e^2}} \over {4\pi {\varepsilon _0}}}$$ is [c is velocity of li...
NEET 2016 Phase 2
Planck's constant (h), speed of light in vacuum (c) and Newton's gravitional constant (G) are three fundamental constants. Which of the following comb...
AIPMT 2015
If dimensions of critical velocity $$\upsilon $$c of a liquid flowing through a tube are expressed as $$\left[ {{\eta ^x}{\rho ^y}{r^z}} \right]$$ whe...
AIPMT 2015 Cancelled Paper
If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be
AIPMT 2014
If force (F), velocity (V) and time (T) are taken as fundamental units, then dimensions of mass are
NEET 2013 (Karnataka)
The pair of quantities having same dimensions is
NEET 2013
If an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows...
AIPMT 2012 Mains
The dimensions of $${\left( {{\mu _0}{\varepsilon _0}} \right)^{ - 1/2}}$$ are
AIPMT 2012 Prelims
The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are
AIPMT 2011 Mains
The density of a material in CGS system of units is 4 g cm$$-$$3. In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the...
AIPMT 2011 Prelims
The dimensions of $${\left( {{\mu _0}{\varepsilon _0}} \right)^{ - 1/2}}$$ are
AIPMT 2010 Mains
A student measures the distance traversed in free fall of a body, initially at rest, in a given time. He uses this data to estimate g, the acceleratio...
AIPMT 2010 Prelims
The dimension of $${1 \over 2}{\varepsilon _0}{E^2}$$, where $${\varepsilon _0}$$ is permittivity of free space and E is electric field, is
AIPMT 2009
If the dimensions of a physical quantity are given by MaLbTc, then the physical quantity will be
AIPMT 2008
Which two of the following five physical parameters have the same dimensions ? 1.  Energy density 2.  Refractive index 3. &n...
AIPMT 2008
If the error in the measurement of radius of a sphere is 2%, then the error in the determination of volume of the sphere will be
AIPMT 2007
Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I, would be
AIPMT 2006
The velocity v of a particle at time t is given by v = at + $${b \over {t + c}}$$, where a, b and c are constants. The dimensions of a, b and c are
AIPMT 2005
The ratio of the dimensions of Planck's constant and that of moment of inertia is the dimensions of
AIPMT 2004
The dimensions of universal gravitational constant are
AIPMT 2004
The unit of permittyvity of free space, $${\varepsilon _0}$$, is
AIPMT 2001
The dimensions of Planck's constant equals to that of
AIPMT 2000
Which pair do not have equal dimensions ?
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