If the dimensional formula of a quantity is MaLbTc then choose the option which indicates the correct quantity corresponding to the accompanying values of variables.
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a
Surface tension if a = 1, b = 2, c = −2
b
force if a = 1, b = 1, c = 2
c
angular frequency if a = 0, b = 0, c = −1
d
spring constant if a = 1, b=−1, c = −2
answer is C.
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Detailed Solution
Angular frequency =2π× Frequency =T−1=M0L0T−1∴a=0,b=0,c=−1
If the dimensional formula of a quantity is MaLbTc then choose the option which indicates the correct quantity corresponding to the accompanying values of variables.