Which of the following pair of quantities have the same dimensional formula?
(a) Frequency, Time
(b) Force, linear momentum
(c) Work, energy
(d) Acceleration, velocity
Answers
Answer:
d is correct
mark barinliest plzz
Let's check out each and every option.
(a) Frequency and Time.
Dimension of Time = [T]
Dimension of Frequency = 1/[T] = [T^-1]
=> Clearly, they ain't same.
(b) Force and Linear Momentum.
Unit of Force = Kg.m/s^2
=> Dimension(Force) = [MLT^-2]
Unit of Momentum = Kg.m/s
=> Dimension(Momentum) = [MLT^-1]
=> Clearly, they ain't same, too.
(c) Work and Energy.
Unit of Work = Kg.m^2/s^2
=> Dimension(Work) = [ML^2T^-2]
Unit of Energy = Kg.m^2/s^2
=> Dimension(Energy) = [ML^2T^-2]
=> Clearly, dimensions of both the quantities are same.
(d) Acceleration and Velocity.
Unit of Acceleration = m/s^2
=> Dimension(Acceleration) = [MLT^-2]
Unit of Velocity = m/s
=> Dimension(Velocity) = [MLT^-1]
=> Clearly, their dimensions aren't same.
Hence, correct answer is: (c) Work & Energy.