The wavelength of an X-ray beam is $10\stackrel{o}{A}.$ The mass of a fictitious particle having the same energy as that of the X-ray photons is $\frac{x}{3}hkg.$ The value of x is………. (h = Planck’s constant)

<p>Energy corresponding to a particle is mc²</p><p><math><mrow><mfrac><mrow><mi>h</mi><mi>c</mi></mrow><mrow><mi>λ</mi></mrow></mfrac><mo>=</mo><mi>m</mi><msup><mrow><mi>c</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>⇒</mo><mfrac><mrow><mi>h</mi><mi>c</mi></mrow><mrow><mi>λ</mi></mrow></mfrac><mo>=</mo><mrow><mo> (</mo><mrow><mfrac><mrow><mi>x</mi></mrow><mrow><mn>3</mn></mrow></mfrac><mi>h</mi></mrow><mo>)</mo></mrow><msup><mrow><mi>c</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>⇒</mo><mi>x</mi><mo>=</mo><mfrac><mrow><mn>3</mn></mrow><mrow><mi>λ</mi><mi>c</mi></mrow></mfrac><mo>=</mo><mfrac><mrow><mn>3</mn></mrow><mrow><mn>1</mn><mn>0</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>1</mn><mn>0</mn></mrow></msup><mo>×</mo><mn>3</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>8</mn></mrow></msup></mrow></mfrac></mrow></math>&nbsp;=&nbsp;<math><mrow><mfrac><mrow><mn>1</mn></mrow><mrow><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></mrow></mfrac><mo>=</mo><mn>1</mn><mn>0</mn></mrow></math></p>

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