1
NEET 2017
+4
-1
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 light, G is the universal constant of gravitation and e is charge]
A
$${c^2}{\left[ {G - {{{e^2}} \over {4\pi {\varepsilon _0}}}} \right]^{1/2}}$$
B
$${1 \over {{c^2}}}{\left[ {{{{e^2}} \over {G\,4\pi {\varepsilon _0}}}} \right]^{1/2}}$$
C
$${1 \over c}G{{{e^2}} \over {\,4\pi {\varepsilon _0}}}$$
D
$${1 \over {{c^2}}}{\left[ {G{{{e^2}} \over {\,4\pi {\varepsilon _0}}}} \right]^{1/2}}$$
2
NEET 2016 Phase 2
+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
$$\sqrt {{{Gc} \over {{h^{3/2}}}}}$$
3
AIPMT 2015
+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
4
AIPMT 2015 Cancelled Paper
+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
$$\left[ {E{V^{ - 1}}{T^{ - 2}}} \right]$$
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