Dimensions & Dimensional Analysis: JEE Questions & Solutions

Consider a modified Bernoulli equation. P + ABt^2 + g(h + Bt) + 12 v^2 = constant If t has the dimension of time then the dimensions of A…

Match the LIST-I with LIST-II array|c|l||c|l| List-I & & List-II & A. & Spring constant & I. & ML^2T^-2K^-1 B. & Thermal conductivity & II.…

A ball of radius r and density dropped through a viscous liquid of density and viscosity attains its terminal velocity at time t, given by…

Match the LIST-I with LIST-II: array|c|l|c|l| List-I & & List-II & A. & Magnetic induction & I. & M L T^-2 A^-2 B. & Magnetic flux & II. &…

Match List–I with List–II. List–I & List–II A. Coefficient of viscosity & I. [ML^-1T^-2] B. Surface tension & II. [ML^-2T^-2] C. Pressure &…

If B is magnetic field and 0 is permeability of free space, then the dimensions of B 0 is:

Which one of the following is the correct dimensional formula for the capacitance in F? M, L, T, and C stand for unit of mass, length,…

The position of a particle moving on x-axis is given by x(t) = A t + B ^2 t + Ct^2 + D, where t is time. The dimension of ABCD is:

The electric flux is = + where and are linear and surface charge density, respectively, and () represents

Match List-I with List-II. array|c|c| List-I & List-II (A) Permeability of free space & (I) [M L^2 T^-2] (B) Magnetic field & (II) [M T^-2…

In a measurement, it is asked to find the modulus of elasticity per unit torque applied on the system. The measured quantity has the…

Match List - I with List - II. array|c|c| List - I & List - II Choose the correct answer from the options given below:

The pair of physical quantities not having same dimensions is:

Match List-I with List-II. Choose the correct answer from the options given below:

Match List-I with List-II. Choose the correct answer from the options given below:

Match List-I with List-II: Choose the correct answer from the options given below:

Match List-I with List-II. List-I (A) Coefficient of viscosity (B) Intensity of wave (C) Pressure gradient (D) Compressibility List-II (I)…

If 0 and 0 are the permeability and permittivity of free space, respectively, then the dimension of ( 1 0 0) is:

Match the LIST-I with LIST-II LIST-I LIST-II A. Gravitational constant I. [LT^-2] B. Gravitational potential energy II. [L^2T^-2] C.…

Match the LIST-I with LIST-II LIST-I LIST-II A. Boltzmann constant I. ML^2T^-1 B. Coefficient of viscosity II. MLT^-3K^-1 C. Planck's…

In an electromagnetic system, the quantity representing the ratio of electric flux and magnetic flux has dimension of M^Q L^R T^S A^P,…

In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimensions of [M^P…

The dimension of 0 0 is equal to that of: (Where 0 is the vacuum permeability and 0 is the vacuum permittivity)

Match List-I with List-II. Choose the correct answer from the options given below:

The equation of state of a real gas is given by ( P + aV^2)(V - b) = RT, where P, V, and T are pressure, volume, and temperature. The…

Match List-I with List-II. List-I | List-II A. Coefficient of viscosity | I. [ML^-1T^-1] B. Surface Tension | II. [ML^0T^-2] C. Angular…

If mass is written as m = k c^p G^-1/2 h^1/2, then the value of p will be:

A force is represented by F = ax^2 + bt^1/2 where x = distance and t = time. The dimensions of b^2a are:

The de-Broglie wavelength associated with a particle of mass m and energy E is: = h 2mE The dimensional formula for Planck’s constant is:

Match List I with List II: List I A. Planck's constant h B. Stopping potential Vs C. Work function D. Momentum p List II I. M^1L^2T^-2 II.…

The frequency () of an oscillating liquid drop may depend upon radius (r) of the drop, density () of liquid and the surface tension (s) of…

Match List I with List II: Choose the correct answer from the options given below:

Match List I with List II and choose the correct answer from the options given below:

Match List I with List II: Choose the correct answer from the options given below:

Match List-I with List-II: Choose the correct answer from the options given below:

Match List I with List II: Answer: (1) (A) – III, (B) – I, (C) – II, (D) – IV

The equation of a circle is given by x^2 + y^2 = a^2, where a is the radius. If the equation is modified to change the origin other than…

Match List – I with List – II Choose the correct answer from the options given below:

Match List I with List II. Choose the correct answer from the options given below:

If R, XL, and XC represent resistance, inductive reactance, and capacitive reactance, then which of the following is dimensionless:

Match List-I with List-II. List-I List-II A. Angular momentum I. [ML^2T^-2] B. Torque II. [ML^2T^-2] C. Stress III. [ML^-2T^-2] D. Pressure…

The equation of state for some gases is given by: ( P + aV^2) (V - b) = RT The physical quantity, which has the same dimensional formula as…

If the velocity of light c, universal gravitational constant G and Planck's constant h are chosen as fundamental quantities. The dimensions…

Dimension of 1 0 0 should be equal to:

If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of density will be:-

Match List I with List II: Choose the correct answer from the options given below:

The speed of a wave produced in water is given by v= ^a g^b ^c, where, g and are the wavelength of the wave, acceleration due to gravity…