1.

If the energy of a photon of light is given by E=kh^(x)c^(y)lambda^(z), where h= Planck's constant, c = velocity of light and lambda = wavelength then values of x,y,z in order are :

Answer»

`1,2,1`
`1,1,1`
`1,-1,1`
`1,1,-1`

Solution :`E=h^(X)C^(y)lambda^(z)`
Putting the dimensions
`ML^(2)T^(-2)=[ML^(2)T^(-1)]^(x)[L^(1)T^(-1)]^(y)[L^(1)]^(z)`
`[ML^(2)T^(-2)]=M^(x)L^(2x+y+z)T^(-x-y)`
`:.`COMPARING the dimensions
`x=1|{:(2x+y+z=1),(2+1+z=2),(z=-1):}||{:(-x-y=-2),(-1-y=-2),(y=1):}|`
`:.`Correct choice is `(d)`.


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