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Q.

The force is given in terms of time ‘t’ and displacement ‘x’ by the equation F=AcosBt+C sin Dx then the dimensions of ABCD is

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a

[M2L3T-5]

b

[MLT-5]

c

[M2LT-5]

d

[M2L2T-5]

answer is A.

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Detailed Solution

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Bt=1⇒B=1T=T-1

Dx=1⇒D=1x=1L=L-1

F=A⇒MLT-2=A

F=C⇒MLT-2=C

∴ABCD=MLT-2(MLT-2)T-1L-1=M2LT-5

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The force is given in terms of time ‘t’ and displacement ‘x’ by the equation F=AcosBt+C sin Dx then the dimensions of ABCD is