Question

Ratio of wavelengths of waves associated with
two moving particles A & B with kinetic energy
E & E, is 2 : 3 then E /E, is :
(1) 4:9 (2) 9:4 (3) 3:3 (4) 2:3
​

Answer 1

Answer:

Correct option is

A

25:9

From de-Broglie's equation:

λ=

mv

h

⇒λ

2

=

m

2

v

2

h

2

⇒mv

2

=

mλ

2

h

2

∵KE(K)=

2

1

mv

2

∴KE(K)=

2

1

mλ

2

h

2

⇒

K

2

K

1

=(

λ

1

λ

2

)

2

=(

3

5

)

2

∴K

1

:K

2

=25:9.

Hence, option A is correct.