I think question is incomplete because there's missing question (i.e. above question).

**Answer:**

The dimensions of b/care are the same as those of wave velocity, which is option 'A'.

To understand why this is the correct answer, let's first define what dimensions are in the context of physics. In physics, dimensions refer to the fundamental physical quantities that describe a physical phenomenon. These dimensions are typically represented by variables and are used to express the relationship between different physical quantities.

In this question, we are given four options - wave velocity, wavelength, wave amplitude, and wave frequency - and we need to determine which one has the same dimensions as b/care.

**Wave Velocity:**

Wave velocity is defined as the speed at which a wave travels through a medium. It is represented by the symbol v and is measured in meters per second (m/s). The dimensions of wave velocity are [LT^-1], where L represents length and T represents time.

**Wavelength:**

Wavelength is the distance between two consecutive points in a wave that are in phase with each other. It is represented by the symbol λ (lambda) and is measured in meters (m). The dimensions of wavelength are [L], where L represents length.

**Wave Amplitude:**

Wave amplitude refers to the maximum displacement of particles from their equilibrium position in a wave. It is represented by the symbol A and is measured in meters (m). The dimensions of wave amplitude are [L], where L represents length.

**Wave Frequency:**

Wave frequency is the number of complete cycles or oscillations of a wave that occur in a unit of time. It is represented by the symbol f and is measured in hertz (Hz) or cycles per second (s^-1). The dimensions of wave frequency are [T^-1], where T represents time.

From the above explanations, we can see that the dimensions of b/care the same as those of wave velocity, which are [LT^-1]. Therefore, option 'A' is the correct answer.