Practice portal › Dual Nature of Matter and Radiation › de Broglie Wavelength and Accelerating Potential

A particle A of mass m and charge q is accelerated by a potential difference of 50 V. Another particle B of mass 4m and charge q is accelerated by a potential difference of 2500 V. The ratio of de Broglie wavelength (λ_A)/(λ_B) is close to

Asked in JEE Main 12th Jan 1st Shift 2019 · Accelerated through a potential difference

• (1) 14.14
• (2) 0.07
• (3) 4.47
• (4) 10.00

Step-by-step solution

Why the other options are wrong

• (2) comes from is the reciprocal, from inverting the ratio
• (3) comes from dropping the mass factor and taking √50 only
• (4) comes from stopping at √100 and losing the factor 2

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