IIT-JEE Exam

Asmall block of mass of 0.1 kg lies on a fixed inclined plane PQ which makes an angle  with the horizontal. A
horizontal force of 1 N on the block through its center of mass as shown in the figure. The block remains
stationary if (take g = 10 m/s^2)

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IIT-JEE Other Question
A person blows into open-end of a long pipe. As a result, a high-pressure pulse of air travels down the pipe.
When this pulse reaches the other end of the pipe.
(A) a high-pressure pulse starts traveling up the pipe, if the other end of the pipe is open.
(B) a low-pressure pulse starts traveling up the pipe, if the other end of the pipe is open.
(C) a low-pressure pulse starts traveling up the pipe, if the other end of the pipe is closed.
(D) a high-pressure pulse starts traveling up the pipe, if the other end of the pipe is closed. Consider the motion of a positive point charge in a region where there are simultaneous uniform electric and
magnetic fields j ˆ E  E0

and j ˆ B  B0

. At time t = 0, this charge has velocity v
 in the x-y plane, making an
angle  with x-axis. Which of the following option(s) is(are) correct for time t > 0 ?
(A) If  = 0°, the charge moves in a circular path in the x-z plane.
(B) If  = 0°, the charge undergoes helical motion with constant pitch along the y-axis.
(C) If  = 10°, the charge undergoes helical motion with its pitch increasing with time, along the y-axis.
(D) If  = 90°, the charge undergoes linear but accelerated motion along the y-axis.