Question 137: Units , Dimensions and Error Analysis

Question

If E, L, M and G denote the quantities as energy, angular momentum, mass and constant of gravitation respectively, then the dimensions of P in the formula P = EL
2
M
$$-$$5
G
$$-$$2
are :

Accepted Answer

E = ML
2
T
$$-$$2
L = ML
2
T
$$-$$1
m = M
G = M
$$-$$1
L
+3
T
$$-$$2
P = $${{E{L^2}} \over {{M^5}{G^2}}}$$
[P] = $${{(M{L^2}{T^{ - 2}})({M^2}{L^4}{T^{ - 2}})} \over {{M^5}({M^{ - 2}}{L^6}{T^{ - 4}})}} = {M^0}{L^0}{T^0}$$

Answer

[M
0
L
1
T
0
]

Answer

[M
$$-$$1
L
$$-$$1
T
2
]

Answer

[M
1
L
1
T
$$-$$2
]

Answer

[M
0
L
0
T
0
]

Units , Dimensions and Error Analysis

If E, L, M and G denote the quantities as energy, angular momentum, mass and constant of gravitation respectively, then the dimensions of P in the formula P = EL 2 M $-5 G -$2 are :

Choose the correct answer: