Question

A particle of mass 1 mg has the same wavelength as an electron moving with a velocity of 3 x 10⁶ ms^-1. The velocity of the particle is.

(mass of electron = 9.1 x 10^-31 kg)

2.7 x 10^-18 ms^-1

9 x 10^-2 ms^-1

3 x 10^-31 ms^-1

2.7 x 10^-21 ms^-1

Solution

2.7 x 10^-18 ms^-1

wavelength of a particle is given by
$straight lambda space equals space straight h over straight p where space straight h space is space Planck apostrophe straight s space constant space and space wave space length space of space electron space is space given space by straight lambda subscript straight e space equals space straight h over straight p subscript straight e straight lambda space equals space straight lambda subscript straight e straight p space equals straight p subscript straight e mv space equals space straight m subscript straight e straight v subscript straight e straight v equals space straight m subscript straight e straight v subscript straight e Putting space the space under space given space data straight m subscript straight e space equals space 9.1 space straight x space 10 to the power of negative 31 end exponent space kg comma space straight v subscript straight e space equals space 3 space straight x space 10 to the power of 6 space straight m divided by straight s end exponent straight m space equals 1 space mg space equals space 1 space straight x space 10 to the power of negative 6 end exponent space kg straight v equals space fraction numerator 9.1 space straight x space 10 to the power of negative 31 end exponent space straight x space 3 space straight x space 10 to the power of 6 over denominator 1 space straight x space 10 to the power of negative 6 end exponent end fraction equals space 2 minus 7 space straight x space 10 to the power of negative 18 end exponent space ms to the power of negative 1 end exponent$

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Wave Optics

A particle of mass 1 mg has the same wavelength as an electron moving with a velocity of 3 x 10⁶ ms^-1. The velocity of the particle is.

(mass of electron = 9.1 x 10^-31 kg)

2.7 x 10^-18 ms^-1

9 x 10^-2 ms^-1

3 x 10^-31 ms^-1

2.7 x 10^-21 ms^-1

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Wave Optics

A particle of mass 1 mg has the same wavelength as an electron moving with a velocity of 3 x 106 ms-1. The velocity of the particle is.(mass of electron = 9.1 x 10-31 kg) 2.7 x 10-18 ms-1 9 x 10-2 ms-1 3 x 10-31 ms-1 2.7 x 10-21 ms-1

Some More Questions From Wave Optics Chapter

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A particle of mass 1 mg has the same wavelength as an electron moving with a velocity of 3 x 10⁶ ms^-1. The velocity of the particle is.

(mass of electron = 9.1 x 10^-31 kg)

2.7 x 10^-18 ms^-1

9 x 10^-2 ms^-1

3 x 10^-31 ms^-1

2.7 x 10^-21 ms^-1