IIT-JEE Exam

A mixture of 2 moles of helium gas (atomic mass = 4 amu), and 1 mole of argon gas (atomic mass = 40 amu)
is kept at 300 K in a container. The ratio of the rms speeds is

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IIT-JEE Other Question

Two large vertical and parallelmetal plates having a separation of 1 cm are connected to a DC voltage source of
potential difference X. Aproton is released at rest midway between the two plates. It is found to move at 45° to
the vertical JUST after release. Then X is nearly 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