Electro Magnetic Induction And Alternating Currents Question 467

Question: A conducting rod of mass m and $ \ell $ is placed on a smooth horizontal surface in a region where transverse uniform magnetic field B exists in the region. At t=0, constant force .F starts acting on the rod at its mid-point as shown. Potential difference between ends of the rod, $ V_{p}-V_{Q} $ at any time t is

Options:

A) $ \frac{BF\ell t}{2m} $

B) $ \frac{BF\ell t}{4m} $

C) $ \frac{5BF\ell t}{8m} $

D) $ \frac{7BF\ell t}{8m} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • Velocity at any time t,

    $ v=a $

    $ t=\frac{F}{m}t $

    Now, $ e=V_{P}-V_{Q}=Bv\ell ,\sin ,30^{o}=B( \frac{Ft}{m} )\ell \times \frac{1}{2} $

    $ =\frac{BF\ell t}{2m} $



जेईई के लिए मॉक टेस्ट

एनसीईआरटी अध्याय वीडियो समाधान

दोहरा फलक