Single Choice

A body of mass 10g is moving with a velocity of 100 $$ms^{-1}$$. The wavelength associated with it is :

A$$6.626\times 10^{-7}m$$
B$$6.626\times 10^{-34}m$$
Correct Answer
C$$6.626\times 10^{-4}m$$
D$$6.626\times 10^{-35}m$$

Solution

According to de Broglie's equation
$$\lambda =\frac{h}{mv}$$
where, $$\lambda =$$ de-Broglie wavelength
$$h=6.626 \times 10^{−34}Js$$=Planck's constant
$$m=$$mass of object=10 g= 0.01 kg and $$v=$$ velocity$$= 100$$ m/s
upon substitution we get:
$$\lambda =\frac{6.626 \times 10^{−34}}{0.01 \times 100}$$
$$\lambda=6.626 \times 10^{−34}$$m

SIMILAR QUESTIONS

Atomic Structure

For given energy of photon, $$E=3.03\times 10^{-19}J$$ corresponding wavelength will be: $$(h=6.6\times { 10 }^{ -34} sec$$, $$C=3\times { 10 }^{ 8 }m/sec.)$$

Atomic Structure

Calculate the wavelength associated with an electron moving with a velocity of $${ 10 }^{ 10 } cm$$ per sec.

Atomic Structure

What should be the mass of the photon of sodium if its wavelength is $$5894 \mathring { A }$$. The velocity of light is $$3\times { 10 }^{ 8 }\ { metre }/{ second }$$ and the value of h is $$6.6252 \times { 10 }^{ -34 } kg\ { { m }^{ 2 } }/{ s\ }?$$

Atomic Structure

The wavelength of third line of the Balmer series for a H atom is:

Atomic Structure

A near UV photon of $$300\ nm$$ is absorbed by a gas and then re-emitted as two photons. One photon is red light with wavelength $$760\ nm$$, then the wavelength of the second photon is:

Atomic Structure

The energy of a photon is given as $$3.03\times 10^{-19}$$ J/atom. The wavelength of the photon is :

Atomic Structure

The energy difference between the ground state of an atom and its excited state is $$3\times 10^{-19}J$$. What is the wavelength of the photon required for this transition?

Atomic Structure

The wavelength of an electron moving with velocity of $$10^7ms^{-1}$$ is:

Atomic Structure

What will be the wavelength of an electron moving with $$\frac{1}{10}th$$ of velocity of light?

Atomic Structure

If travelling at same speeds, which of the following matter waves have the shortest wavelength?

Contact Details