MereTeacher

JEE • NEET • FOUNDATION

JEE · NEET Previous Year Question

$If G be the gravitational constant and u be the energy density then which of the following quantity have the dimensions as that of the uG :$

Topic: JEE PYQ

Answer: D. Full step-by-step solution below.

A $pressure gradient per unit mass$
B $Gravitational potential$
C $Energy per unit mass$
D $Force per unit mass$

Correct answer: D

Solution

(d) [uG] = ((M^{1} L^{- 1} T^{- 2}) (M^{- 1} L^{3} T^{- 2})) [uG] = (M^{0} L^{2} T^{- 4}) [uG] = (L^{1} T^{- 2})

More Vectors & Basic Mathematics PYQs

$A force is represented by F = a x^{2} + b t^{1/2} Where x = distance and t = time. The dimensions of b^{2} / a are :$
$A = 3 i^+ 4 j^Find a vector perpendicular to A in the plane of A$
$Given below are two statements : Statement (I) : Planck's constant and angular momentum have same dimensions. Statement (II) : Lin\dots$
$If A = 3 i + j + 2 k and B = 2 i - 2 j + 4 k then value of | A \times B | will be-$
$The position of a particle is given by r = (i + 2 j - k) and momentum p = (3 i + 4 j - 2 k) . The angular momentu\dots$