Question

If E,M,L and G denote energy,mass angular momentum and gravitational constant respectively,then the quantity (E^2L^2/M^5G^2) has the dimensions of

Answer 1

Explanation:

E]=[ML

2

T

−2

],[m]

=[M][l]=[ML

2

T

−1

],[G]=[M

−1

L

3

T

−2

]

∴[

m

5

G

2

El

2

]=

[M

5

][M

−2

L

6

T

−4

]

[ML

2

T

−2

][M

2

L

4

T

−2

]

=[M

0

L

0

T

0

]

As angle has no dimensions, therefore

m

5

G

2

El

5

has the same dimensions as that of angle.

Answer 2

See the attachment mate

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