Dimensional_Formulas_21

Dimension of Resistance | electric Resistance dimension

Resistance R of the conductor is the ratio of the potential difference to the current. R =V/I. Now, let’s find out the dimension of resistance. (Dimensional formula) Dimension of resistance Using equations or formulas, we are going to find out the dimension of resistance. (dimensional formula) R = V/I = [W/Q]/I =[(F s) / (I […]

Dimensional formula of Gravitational Field Strength

Here, we will find out the dimensional formula of Gravitational Field Strength. Gravitational Field Strength is defined as the gravitational force per unit mass in the gravitational field. The formula of Gravitational Field Strength (I): I = F/m=> I = GM/d2, where d is the distance between mass M and m. The dimensional formula of force = […]

Dimensional formula of Pressure Energy – how to find it?

Here, we will find out the dimensional formula of Pressure Energy. The formula of the Pressure Energy = pressure × volume The dimensional formula of pressure = [ML–1T–2] [see here how to find the dimensional formula of pressure ] The dimension of volume = [L3] Hence, the Dimensional formula of Pressure Energy = The dimension […]

Dimensional formula of Pressure gradient – how to find?

Here, we will find out the dimensional formula of the Pressure gradient. The formula of the Pressure gradient = pressure/distance The dimensional formula of pressure = [ML–1T–2] [see here how to find the dimensional formula of pressure ] The dimension of distance = [L] Hence, the Dimensional formula of Pressure gradient = The dimension of […]

Dimensional formula of Velocity gradient – how to find?

Here, we will find out the dimensional formula of the Velocity gradient. The formula of the Velocity gradient = velocity/distance The dimensional formula of velocity = [M0LT–1] [see here how to find the dimensional formula of velocity ] The dimension of distance = [L] Hence, the Dimensional formula of Velocity gradient = The dimension of […]

Dimensional formula of Surface Tension – how to find it?

Here, we will find out the dimensional formula of Surface Tension. The formula of Surface Tension = force/length The dimensional formula of force = [MLT–2] [see here how to find the dimensional formula of force ] The dimension of length = [L] Hence, the Dimensional formula of Surface Tension = The dimensional formula of force […]

Dimensional formula of Modulus of elasticity – how to find it?

Here, we will find out the dimensional formula of the Modulus of elasticity. This Dimensional formula will be applicable for 3 different sets of elasticity modulus: These are (a) Young’s Modulus (2) Shear Modulus (3) Bulk modulus The Modulus of Elasticity is the ratio of Stress and Strain. The formula of Modulus of Elasticity = […]

Dimensional formula of Strain

Here, we will find out the dimensional formula of Strain. This Dimensional formula will be applicable for all the following types of strain, – (1) Longitudinal Strain (2) Shearing Strain, (3) Volume Strain. Find details about strain & stress in this post: stress, strain, elasticity The generic formula of Strain = Change in dimension/original dimension […]

Dimensional formula of Stress – how to find it?

Here, we will find out the dimensional formula of Stress. This Dimensional formula will be applicable for all the following types of stresses, – (1) Longitudinal stress (Tensile and Compressive stress) (2) Tangential or Shearing Stress, (3) Hydraulic Stress The formula of Stress = force/area The dimensional formula of force = [MLT–2] [see here how […]

Dimensional formula of Pressure – how to find it?

Here, we will find out the dimensional formula of Pressure. The formula of Pressure = force/area The dimensional formula of force = [MLT–2] [see here how to find the dimensional formula of force ] The dimension of area = [L2] Hence, the Dimensional formula of Pressure = The dimensional formula of force / The dimensional […]

Dimensional formula of Momentum – how to find?

Here, we will find out the dimensional formula of Momentum. The formula of Momentum = mass x velocity The dimension of mass = [M] The dimensional formula of velocity = [M0LT–1] [see here how to find the dimensional formula of velocity ] Hence, the Dimensional formula of Momentum = The dimension of mass x The […]

Dimensional formula of Power – how to find?

Here, we will find out the dimensional formula of Power. The formula of Power = Work/time The dimensional formula of work = [ML2T–2] [see here how to find the dimensional formula of work ] The dimension of time = [T] Hence, the Dimensional formula of Power = The dimensional formula of work / The dimension […]

Dimensional formula of Work – how to find?

Here, we will find out the dimensional formula of Work. The formula of Work = force x displacement The dimensional formula of force = [MLT–2] [see here how to find the dimensional formula of force ] The dimension of displacement = [L] Hence, the Dimensional formula of Work = The dimensional formula of force x […]

Dimensional formula of Impulse – how to find?

Here, we will find out the dimensional formula of Impulse. The formula of Impulse = force x time The dimensional formula of Force = [MLT–2] [see here how to find the dimensional formula of force ] The dimension of time = [T] Hence, the Dimensional formula of Impulse = The dimensional formula of force x […]

Dimensional formula of force – how to find?

Here, we will find out the dimensional formula of force. The formula of force = mass x acceleration The dimension of mass = [M] The dimensional formula of acceleration = [M0LT–2] [see here how to find the dimensional formula of acceleration ] Hence, the Dimensional formula of force = The dimension of mass x The […]

Dimensional formula of acceleration – how to find?

Here, we will find out the dimensional formula of acceleration. Formula of acceleration = velocity/time The dimensional formula of velocity = [M0LT–1] [see here how to find the dimensional formula of velocity ] The dimension of time = [T] Hence, Dimensional formula of acceleration = The dimension of velocity / The dimension of time = […]

Dimensional formula of velocity – how to find?

Here, we will find out the dimensional formula of velocity. The formula of velocity = displacement/time The dimension of displacement = [L] The dimension of time = [T] Hence, Dimensional formula of velocity = The dimension of displacement / The dimension of time = [L] / [T] = [LT–1] = [M0L1T-1] = [M0LT–1] Dimensional formula […]

Dimensional formula of Frequency – how to find?

Here, we will find out the dimensional formula of Frequency. The formula of Frequency = 1/time period The dimension of time period = [T] Hence, Dimensional formula of Frequency = 1 / The dimension of time period = 1 /[T] = [T-1] = [M0L0T-1] Dimensional formula of Frequency = [M0L0T-1]

Dimensional formula of density – how to find?

Here, we will find out the dimensional formula of density. Formula of density = mass/volume The dimension of mass = [M] The dimension of volume = [L3] Hence, Dimensional formula of density = The dimension of mass / The dimension of volume = [M] / [L3] = [ML–3] = [ML–3T0] Dimensional formula of density = […]

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