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Question

The dimensions [ML−1T−2] may be of

A
pressure
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B
energy per unit volume
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C
force
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D
linear momentum
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Solution

The correct options are
A pressure
D energy per unit volume
Pressure P= force/ area =F/A
[P]=[MLT2]/[L2]=[ML1T2]

Energy per unit volume , E= work done/volume =(force ×displement)/volume
[E]=[MLT2][L][L3]=[ML1T2]

The dimension of force, [F]=[MLT2] and linear momentum, [p]=[mv]=[MLT1]

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