Question 150: 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 = EL2M$$-$$5G$$-$$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

[M0 L1 T0]

Answer

[M$$-$$1 L$$-$$1 T2]

Answer

[M1 L1 T$$-$$2]

Answer

[M0 L0 T0]

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 = EL2M$-5G-$2 are :

Choose the correct answer: