List of top Physics Questions on Dimensional Analysis asked in BITSAT

In the formula X = 3YZ², X and Z have dimensions of capacitance and magnetic induction respectively. The dimensions of Y in MKSA system are
The frequency of vibration of a string is given by ν=(p)/(2l)√((F)/(m)) Here p is number of segments in the string and l is the length. The dimensional formula for ν will be:
If C is the velocity of light, g the acceleration due to gravity and P the atmospheric pressure, then the dimensions of length will be same as that of:
In the formula X = 3YZ², X has dimensions of capacitance and magnetic induction respectively. The dimensional formula of Y in MKSA system is
The frequency of vibration of a string is given by
\( \nu = \dfrac{p}{2l}\left(\dfrac{F}{m}\right)^{1/2} \)
Here, \( p \) is the number of segments in the string and \( l \) is the length. The dimensional formula for \( m \) will be:
For the equation of force \(F = Aa^b d^c\), where \(F\) is the force, \(A\) is the area, \(v\) is the velocity and \(d\) is the density, the values of \(a, b\) and \(c\) are respectively:
Wave pulse can travel along a tense string like a violin spring. A series of experiments showed that the wave velocity \( V \) of a pulse depends on the following quantities, the tension \( T \) of the string, the cross-section area \( A \) of the string and density \( \rho \) of the string. Obtain an expression for \( V \) in terms of \( T \), \( A \), and \( \rho \) using dimensional analysis.
If the unit of force and length be each increased by four times, then the unit of energy is increased by:
If T = 2π √ML³3Yq, then find the dimensions of q. Where T is the time period of a bar of mass M, length L, and Young’s modulus Y.
If P represents radiation pressure, c represents speed of light and Q represents radiation energy striking a unit area per second, the non-zero integers x, y and z such that Pˣ Qʸ cᶻ is dimensionless, are: