1
NEET 2016 Phase 2
MCQ (Single Correct Answer)
+4
-1
Planck's constant (h), speed of light in vacuum (c) and Newton's gravitional constant (G) are three fundamental constants. Which of the following combinations of these has the dimension of length ?
A
$${{\sqrt {hG} } \over {{c^{3/2}}}}$$
B
$${{\sqrt {hG} } \over {{c^{5/2}}}}$$
C
$$\sqrt {{{hc} \over G}} $$
D
$$\sqrt {{{Gc} \over {{h^{3/2}}}}} $$
2
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
If dimensions of critical velocity $$\upsilon $$c of a liquid flowing through a tube are expressed as $$\left[ {{\eta ^x}{\rho ^y}{r^z}} \right]$$ 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
A
$$-$$1, $$-$$1, $$-$$1
B
1, 1, 1
C
1, $$-$$1, $$-$$1
D
$$-$$1, $$-$$1, 1
3
AIPMT 2015 Cancelled Paper
MCQ (Single Correct Answer)
+4
-1
If energy (E), velocity (V) and time (T) are chosen as the fundamental quantities, the dimensional formula of surface tension will be
A
$$\left[ {E{V^{ - 2}}{T^{ - 2}}} \right]$$
B
$$\left[ {{E^{ - 2}}{V^{ - 1}}{T^{ - 3}}} \right]$$
C
$$\left[ {E{V^{ - 2}}{T^{ - 1}}} \right]$$
D
$$\left[ {E{V^{ - 1}}{T^{ - 2}}} \right]$$
4
AIPMT 2014
MCQ (Single Correct Answer)
+4
-1
If force (F), velocity (V) and time (T) are taken as fundamental units, then dimensions of mass are
A
$$\left[ {FV{T^{ - 1}}} \right]$$
B
$$\left[ {FV{T^{ - 2}}} \right]$$
C
$$\left[ {F{V^{ - 1}}{T^{ - 1}}} \right]$$
D
$$\left[ {F{V^{ - 1}}T} \right]$$
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Class 12