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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M0L0T0,M0L0T−1

MLT−2,M0L−1T0

M0L0T0,M0LT−1

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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