Important questions on Dimensions And Dimensional Analysis
HARD
The potential energy of a particle varies the distance x from a fixed origin as U=x2+BAx, where A and B are dimensional constants, then find the dimensional formula for AB.
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HARD
Out of the following the only pair that does not have identical dimensions is
A
angular momentum and Planck's constant
B
moment of inertia and moment of a force
C
work and torque
D
impulse and momentum
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HARD
Find the dimensions of work.
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HARD
Find the dimensional formula for μo and εo:
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HARD
Which of the following does not have the same dimension?
A
Electric flux, Electric field, Electric dipole moment
B
Pressure, stress, Youngs modulus
C
Electromotive force, Potential difference, Electric voltage
D
Heat, Potential energy, Work done
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HARD
Find the dimensions of refractive index.
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HARD
Two forces P and Q act at a point and have resultant R. If Q is replaced by Q(R2−P2) acting in the direction opposite to that of Q, the resultant:
A
remains same
B
becomes half
C
becomes twice
D
none of these
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HARD
Multiple Correct Answers Type Which of the following pairs have the same dimensions? (L = inductance, C = capacitance, R = Resistance)
This question has multiple correct options
A
RL and CR
B
LR and CR
C
RL and LC
D
RC and LC1
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HARD
Planck's constant (h), speed of light in vacuum (c) and Newton's gravitational constant (G) are three fundamental constants. Which of the following combinations of these has the dimension of length?
A
h3/2Gc
B
c3/2hG
C
c5/2hG
D
Ghc
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HARD
Which of the following pairs of physical quantities does not have same dimensional formula?