Table of Contents
- 1 What is the dimensional formula for force constant?
- 2 Which of the quantities have same dimensions?
- 3 What is the force constant?
- 4 Which of the following pairs has the same dimension?
- 5 Does force and work have same dimensions?
- 6 Which of the following sets of quantities has the same dimensional formula?
- 7 What is the physical quantity with dimensions A B and C?
- 8 What is the difference between the formula of work torque and tension?
What is the dimensional formula for force constant?
= [M1 L1 T-2] × [M0 L1 T0]-1 = [M1 L0 T-2]. Therefore, the force constant is dimensionally represented as [M1 L0 T-2].
Which has the same dimensional formula as force?
Complete step by step answer: Therefore, impulse and momentum have the same dimensional formula.
Which of the quantities have same dimensions?
dimension of energy =[ML²T⁻²]dimension of power =[ML²T⁻³]dimension of torque =[ML²T⁻²]Therefore, the dimension of energy and dimension of torque are equal.
Does force and weight have same dimensional formula?
Weight is a force. It is the product of mass and acceleration. The dimensional formula for acceleration is . That’s mass (kg) times length (m) divided by time (t) squared, or simply the SI units for the newton unit.
What is the force constant?
In physics, a force constant is another term for a spring constant, as defined by Hooke’s law. It is a proportionality constant, more precisely. The strength constant k is related to a system’s rigidity (or stiffness), the greater the constant of force, the greater the restored force, and the stiffer the system.
What is the dimension of the constant?
Those constant which have dimension but have constant value are called dimensional constants. For example gravitational constant, electric field constant , efsonal(€) ,etc there are many dimension constants . Those constant which have not dimension but constant value are called dimensionless constant.
Which of the following pairs has the same dimension?
Light year and wavelength have the same dimension[L].
Which of the following is dimensional constant?
Relative density, refractive index and Poisson ratio all the three are ratios, therefore they are dimensionless constants.
Does force and work have same dimensions?
Hence dimension of force and work are different .
Which of the following pairs have same dimensional formula?
Which of the following sets of quantities has the same dimensional formula?
When we see above all the dimensional formulas, we find out that the (B) option is correct because torque and energy have same dimensional formula.
What is the dimensional formula of gravitational constant and force?
The dimensional formula of gravitational constant is given by, Gravitational Constant (G) = F × r 2 × [Mm] -1 . . . . (1) ∴ The dimensional formula of force = M 1 L 1 T -2 . . . . (2) Or, G = [M 1 L 1 T -2 ] × [L] 2 × [M] -2 = [M -1 L 3 T -2 ].
What is the physical quantity with dimensions A B and C?
A physical quantity Q has dimensions a, b and c in length (L), mass (M) and time (T), respectively and n 1 is its numerical value in a system in which the fundamental units are L 1, M 1 and T 1 and n 2 is the numerical value in another system in which the fundamental units are L 2, M 2 and T 2, respectively then
What is the dimensional formula of a derived quantity?
The expression showing the powers to which the fundamental units are to be raised to obtain one unit of a derived quantity is called the dimensional formula of that quantity. If Q is the unit of a derived quantity represented by Q = M aL bT c, then M aL bT c is called dimensional formula and the exponents a, b and, c are called the dimensions.
What is the difference between the formula of work torque and tension?
Work and torque both are represented as force multiplied by distance therefore must have the same dimensional formula. and it is same as that of plank’s constant. However tension which is defined as force and surface tension which is defined as force per unit length must have different dimensional formulas.