In SI units, the dimension of is
In the formula have diamension of capacitance and magnetic field, respectively .What are the diamension of in units?
If surface tension(S), Momentent of Inertia (I) and Plank's constant (h), were to be taken as the fundamental units, the dimensional formula for linear momentum would be:
In a simple pendulum experiment for determination of acceleration due to gravity (g), time taken for 20 oscillation is measured by using a watch of 1 second least count. The mean value of time taken comes out to be 30 s. The length of pendulum is measured by using a meter scale of least count 1 mm and the value obtained is 55.0 cm. The percentage error in the determination of g is close to:
The area of a square is . The area of such squares taking into account the significant figures is :
In SI units, the dimensions of is :
In the density measurement of a cube, the mass and edge length are measured as and respectively. The error in the measurement of density is :
The percentage errors in quantities P, Q, R and S are 0.5%, 1%, 3% and 1.5% respectively in the measurement of a physical quantity
A physical quantity p depends on otehr two physical quantities Q and R , as follows P = Where a is constant . In an experiment , the quantity Q is determined by measuring P and R and using The above expression . If the percentage of error in measurment of P and R are 10 % and 12 % respectively , Then the % age of error in determines value of Q is
Magnetic Field Due to a Straight Wire
you can use any relation that includes permeability of free space to obtain dimensional formula
A,B,C and D are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation AD = Cln(BD) holds true. Then which of the combination is not a meaningful quantity?
If speed (V), accerleration (A) and force (F) are considered as fundamental units, the dimension of Young's modulus will be:
The force of interaction between two atoms is given by ; where x is the distance , k is the Boltzmann constant and T is temperature and and are two constants. The dimensions of is:
Let l, r, c and v represent inductance, resistance, capacitance and voltage, respectively. The dimension of in SI units will be :
The diameter and height of a cylinder are measured by a meter scale to be and , respectively. What will be the value of its volume of its volume in appropriate significant figure ?
The density of material in SI unit is 128kg m-3. In certain units in which the unit of length is 25 cm and the unit of mass is 50g, the numerical value of density of the material is: