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PhysicsModern PhysicsDe Broglie & Matter WavesMedium2 minPYQ_2010

PhysicsMediumnumerical

An $α$ -particle and a proton are accelerated from rest by a potential difference of $100 V$ . After this, their de Broglie wavelengths are $λ_{α}$ and $λ_{p}$ respectively. The ratio $\frac{λ _{p}}{λ _{α}}$ , to the nearest integer, is

Answer:

3.00

Solution:

$λ \frac{λ _{p}}{λ _{α}} = \frac{h}{P} = \frac{h}{2 qq Vm} or λ \propto \frac{1}{q m} = \frac{q _{α}}{q _{p}} \cdot \frac{m _{\propto}}{m _{p}} = \frac{( 2 ) ( 4 )}{( 1 ) ( 1 )} = 2.828$ The nearest integer is 3 . $∴$ answer is 3 .

Stream:JEE_ADVSubject:PhysicsTopic:Modern PhysicsSubtopic:De Broglie & Matter Waves

⏱ 2mℹ️ Source: PYQ_2010

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