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If the Planck's constant h=6.6×10^(-34) ...

If the Planck's constant h=6.6×`10^(-34)` Js, the de Broglie wave length of a particle having momentum of 6.6×`10^(-24) kg m s^(-1)` will be

A

1`A^0`

B

2`A^0`

C

3`A^0`

D

4`A^0`

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The correct Answer is:
To find the de Broglie wavelength of a particle given its momentum, we can use the de Broglie wavelength formula: \[ \lambda = \frac{h}{p} \] where: - \(\lambda\) is the de Broglie wavelength, - \(h\) is Planck's constant, - \(p\) is the momentum of the particle. ### Step 1: Identify the given values - Planck's constant \(h = 6.6 \times 10^{-34} \, \text{Js}\) - Momentum \(p = 6.6 \times 10^{-24} \, \text{kg m/s}\) ### Step 2: Substitute the values into the formula Now we substitute the values of \(h\) and \(p\) into the de Broglie wavelength formula: \[ \lambda = \frac{6.6 \times 10^{-34} \, \text{Js}}{6.6 \times 10^{-24} \, \text{kg m/s}} \] ### Step 3: Simplify the equation When we divide the two values, we can simplify: \[ \lambda = \frac{6.6}{6.6} \times \frac{10^{-34}}{10^{-24}} = 1 \times 10^{-10} \, \text{m} \] ### Step 4: Convert to Angstroms Since \(1 \, \text{Angstrom} = 10^{-10} \, \text{m}\), we can express the wavelength in Angstroms: \[ \lambda = 1 \, \text{Angstrom} \] ### Final Answer Thus, the de Broglie wavelength of the particle is: \[ \lambda = 1 \, \text{Angstrom} \]

To find the de Broglie wavelength of a particle given its momentum, we can use the de Broglie wavelength formula: \[ \lambda = \frac{h}{p} \] where: - \(\lambda\) is the de Broglie wavelength, ...
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