A) pressure if \[a=1,\,b=-1,\,c=-2\]
B) velocity if \[a=1,\,b=0,\,c=-1\]
C) acceleration if \[a=1,\,b=1,\,c=-2\]
D) None of these
Correct Answer: D
Solution :
| (i) Dimensions of velocity\[n=3,l=2,m=-2,s=-1/2\] |
| Here, \[a=0,\,\,b=1,\text{ }c=-1\] |
| (ii) Dimensions of acceleration\[C{{H}_{2}}Br-CHBr-COOH\] |
| Here, \[a=0,\,\,b=1,\text{ }c=-2\] |
| (iii) Dimensions of force \[H-\underset{\begin{smallmatrix} | \\ Br \end{smallmatrix}}{\overset{\begin{smallmatrix} Br \\ | \end{smallmatrix}}{\mathop{C}}}\,-C{{H}_{2}}COOH\] |
| Here, \[a=1,\,\,b=1,\text{ }c=-2\] |
| (iv) Dimensions of pressure \[C{{H}_{2}}Br-C{{H}_{2}}-COBr\] |
| \[C{{H}_{3}}-\underset{\begin{smallmatrix} | \\ Br \end{smallmatrix}}{\overset{\begin{smallmatrix} Br \\ | \end{smallmatrix}}{\mathop{C}}}\,-COOH\] Here, \[a=1,\,\,b=-1,\text{ }c=-2\] |
| \[\to \] The physical quantity is pressure. |
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