The correct option is
A [E]4[J]3[c]3The unit of pressure is N/m
2 and its dimension in terms of mass, length and time is [M L
−1 T
−2]
In the above mentioned dimension the entities M, L and T are defined in terms of energy, speed and angular momentum as follows.
Mass = 1 GeVc2 = 1.782 × 10−27 kg
Length = 1hc/GeV = 1.973 × 10−16 m
Time = 1h/GeV = 6.582 × 10−26 s
In terms of Energy and linear momentum it is defined as,
Energy = 1GeV = 1.602 × 10−10 J
Linear momentum = 1GeV/c = 5.344 × 10−19 kg m s−1
The formula of pressure is P = FA and in terms of G,e and V are i.e energy, speed and angular momentum is (GeV)4(ch)3
i.e the entity force is defined as (GeV)4 and area as (ch)3.
Hence representing the above dimension in terms of Energy, Angular momentum and velocity we get [E4 J−3 C−3]