Verified Solution • 2025–26 Session moderate

QJEEM21Ph740d: JEE Main 2021 Physics - Class 12 JEEM21Ph740d Solution: The force is given in terms of time t and displacement x by the …

The force is given in terms of time t and displacement x by the equation

F = A cos Bx + C sin Dt

The dimensional formula of ADB{{AD} \over B} is :

Multiple Choice Options

  • A [M0LT−1][{M^0}L{T^{ - 1}}]
  • B [ML2T−3][M{L^2}{T^{ - 3}}]
  • C [M1L1T−2][{M^1}{L^1}{T^{ - 2}}]
  • D [M2L2T−3][{M^2}{L^2}{T^{ - 3}}]

Step-by-Step Verified Solution

[A]=[MLT−2][A] = [ML{T^{ - 2}}]

[B]=[L−1][B] = [{L^{ - 1}}]

[D]=[T−1][D] = [{T^{ - 1}}]

[ADB]=[MLT−2][T−1][L−1]\left[ {{{AD} \over B}} \right] = {{[ML{T^{ - 2}}][{T^{ - 1}}]} \over {[{L^{ - 1}}]}}

[ADB]=[ML2T−3]\left[ {{{AD} \over B}} \right] = [M{L^2}{T^{ - 3}}]

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