Q.
Force F is given in terms of time t and distance x by F = A sinCt + B cosDx. Then the dimensions of A/B and C/D are
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a
M0L0T0,M0L0T−1
b
MLT−2,M0L−1T0
c
M0L0T0,M0LT−1
d
M0L1T−1,M0L0T0
answer is C.
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Detailed Solution
AB= Force Force =M0L0T0Ct= angle ⇒C= Angle Time =1T=T−1Dx= angle ⇒D= Angle Distance =1L=L−1∴ CD=T−1L−1=M0LT−1
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