The wavalenght `(lambda)` of matter waves may depends upon Planck's constant (h) mass (m) and velocity `(upsilon)` of the particle. Use the method of dimensions to derive the formula

The velocity upsilon of sound waves in a medium may depend upon modulus of elasticity (E ), density (d) and wavelength (lambda) of of the waves. Use method of dimensions to deerive the formula for upsilon.

The frequency of vibration (v) of a string may depend upon length (I) of the string, tension (T) in the string and mass per unit length (m) of the string. Using the method of dimensions, derive the formula for v.

The velocity of sound (upsilon) in a gas depends upon coefficint of volume elesticity E of the gas and density d of the gas. Use method of dimensions to derive the formula for upsilon.

The velocity of water wave v may depend on their wavelength lambda , the density of water rho and the acceleration due to gravity g . The method of dimensions gives the relation between these quantities as

The velocity of water wave v may depend on their wavelength lambda , the density of water rho and the acceleration due to gravity g . The method of dimensions gives the relation between these quantities as

The wavelength lambda associated with a moving particle depends upon its mass (m) velocity (v) and Planck's constant 'h'. Show dimensionally that lambda prop (h)/(mv) .

The wavelength lambda associated with a moving particle depends upon its mass m, its velocity v and Planck’s constant h Show dimensionally the relationship between them

Dual nature of matter was proposed by de Broglie in 1923, it was experimentally verified by Davisson and Germer by diffraction experiment. Wave haracter of matter has significance only for microscopic particles. De Broglie wavelength (lambda) can be calculated using the relation, (lambda) = (h)/(m v) where 'm' and 'v' are the mass and velocity of the particle. Planck's constant has same dimension as that of

Dual nature of matter was proposed by de Broglie in 1923, it was experimentally verified by Davisson and Germer by diffraction experiment. Wave haracter of matter has significance only for microscopic particles. De Broglie wavelength (lambda) can be calculated using the relation, (lambda) = (h)/(m v) where 'm' and 'v' are the mass and velocity of the particle. Planck's constant has same dimension as that of