Math, asked by nishu8687, 3 months ago

plzzzzz help me....​

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Answers

Answered by BrainlyEmpire
8

Given:-

Wavelength of A = 4 \times  {10}^{ - 5}

Mass of B= 25% of mass of A

Velocity of B = 50% of velocity of A

━━━━━━━━━━━━━━━━

Need to find:-

Wavelength of B=?

━━━━━━━━━━━━━━━━

Solution:-

We know,

 \lambda \:  =  \dfrac{h}{mv}

 {\lambda}_{A} =  \dfrac{h}{{m}_{A} \times {v}_{A}}

\bold{\purple{\boxed{4 \times  {10}^{ - 5}  =  \dfrac{h}{{m}_{A} \times {v}_{A}}}}}

━━━━━━━━━━━

Now let's find mass of B,

{m}_{B} = 25 \: {m}_{A}

\purple{\bold{\boxed{{m}_{B} =  \dfrac{25}{100} {m}_{A}}}}

━━━━━━━━━━━

Velocity of B,

{v}_{B} = 50 \: {v}_{A}

\boxed{\purple{\bold{ {v}_{B} =  \dfrac{50}{100} {v}_{A}}}}

━━━━━━━━━━━

Now,

 {\lambda}_{B} =  \dfrac{h}{{m}_{B} \times {v}_{B}}

 =  \dfrac{h}{ \dfrac{25}{100}{m}_{A} \times  \dfrac{50}{100}{v}_{A} }

 =  \dfrac{h}{ \dfrac{{m}_{A}}{4} \times  \dfrac{{v}_{A}}{2}  }

 =  \dfrac{8h}{{m}_{A}  \times {v}_{A}}

 = 8 \times (4 \times  {10}^{ - 5} )

 \red{\bold{\boxed{\boxed{\large{= 32 \times  {10}^{ - 5} m}}}}}

Answered by Anonymous
26

Given:-

Wavelength of A = 4 \times  {10}^{ - 5}

Mass of B= 25% of mass of A

Velocity of B = 50% of velocity of A

━━━━━━━━━━━━━━━━

Need to find:-

Wavelength of B=?

━━━━━━━━━━━━━━━━

Solution:-

We know,

 \lambda \:  =  \dfrac{h}{mv}

 {\lambda}_{A} =  \dfrac{h}{{m}_{A} \times {v}_{A}}

\bold{\red{\boxed{4 \times  {10}^{ - 5}  =  \dfrac{h}{{m}_{A} \times {v}_{A}}}}}

━━━━━━━━━━━

Now let's find mass of B,

{m}_{B} = 25 \: {m}_{A}

\orange{\bold{\boxed{{m}_{B} =  \dfrac{25}{100} {m}_{A}}}}

━━━━━━━━━━━

Velocity of B,

{v}_{B} = 50 \: {v}_{A}

\boxed{\blue{\bold{ {v}_{B} =  \dfrac{50}{100} {v}_{A}}}}

━━━━━━━━━━━

Now,

 {\lambda}_{B} =  \dfrac{h}{{m}_{B} \times {v}_{B}}

 =  \dfrac{h}{ \dfrac{25}{100}{m}_{A} \times  \dfrac{50}{100}{v}_{A} }

 =  \dfrac{h}{ \dfrac{{m}_{A}}{4} \times  \dfrac{{v}_{A}}{2}  }

 =  \dfrac{8h}{{m}_{A}  \times {v}_{A}}

 = 8 \times (4 \times  {10}^{ - 5} )

 \green{\bold{\boxed{\boxed{\large{= 32 \times  {10}^{ - 5} m}}}}}

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