BITSAT 2024 Shift 1 Paper

To find the value of the de Broglie wavelength in terms of its mass m and Planck's constant h, we start by letting the wavelength of the given particle be x. According to the problem, the velocity v is given by:
v=‌

x

100

Using the de Broglie wavelength formula, we have:
λ=‌

h

mv

Substituting the given velocity into the formula:
x=‌

h

m(‌ x 100 )

Simplifying this expression:
x=‌

100h

mx

Rearranging gives:
x2=100‌

h

m

Solving for x, we find:
x=10√‌

h

m