question_answer

A bus is moving with a speed of 10 \[E=hv=h\frac{c}{\lambda }\] on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist, with what speed should the scooterist chase the bus ?

A) \[\Rightarrow \]      

B) \[\lambda =\frac{hc}{E}\]

C) \[\lambda =\frac{6.6\times {{10}^{-34}}\times 3\times {{10}^{8}}}{2.5\times 1.6\times {{10}^{-19}}}=5000{AA}\]          

D) \[4000{AA}<5000{AA}\]

Correct Answer: A

Solution :

Let v be the relative velocity of scooter(s) w.r.t. bus (B), then \[\to \]\[\to \]                                                   ?(i) Relative velocity = displacement/time \[\text{N}{{\text{a}}^{\text{+}}}\] Now, substituting the value of v in Eq. (i), we Get \[C{{O}_{2}}\]