IIT-JEE Exam

Three very large plates of same area are kept parallel and close to each other. They are considered as ideal
black surfaces and have very high thermal conductivity. The first and third plates aremaintained at temperatures
2T and 3T respectively. The temperature of the middle (i.e. second) plate under steady state condition is

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IIT-JEE Other Question

A small block is connected to one end of a massless spring of un-stretched length 4.9 m. The other end of the
spring (see the figure) is fixed. The system lies on a horizontal frictionless surface. The block is stretched by 0.2
m and released from rest at t = 0. It then executes simple harmonicmotion with angular frequency rad/ s
pie/3.
Simultaneously at t = 0, a small pebble is projected with speed v from point P at an angle of 45º as shown in the
figure. Point P is at a horizontal distance of 10 cm from O. If the pebble hits the block at t = 1s, the value of v is Athin uniform rod, pivoted at O, is rotating in the horizontal plane with constant angular speed w,At time, t = 0, a small insect starts from O and moves with constant speed v with respect to the rod
towards the other end. It reaches the end of the rod at t = T and stops. The angular speed of the system remains
throughout. Themagnitude of the torque (| 
|) on the systemaboutO, as a function of time is best represented
by which plot ?