IIT-JEE Exam

A projectile is given an initial velocity of
) jˆ 2 iˆ( + m/s, where iˆ is along the ground and jˆ is
along the vertical. If g = 10 m/s2, the equation of
its trajectory is

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IIT-JEE Other Question

A sonometer wire of length 1.5 m is made of steel.
The tension in it produces an elastic strain of 1%.
What is the fundamental frequency of steel if
density and elasticity of steel are 7.7 × 10^3 kg/m3
and 2.2 × 10^11 N/m2 respectively ?
(1) 200.5 Hz (2) 770 Hz
(3) 188.5 Hz (4) 178.2 Hz
A uniform cylinder of length L and mass M
having cross-sectional area A is suspended, with
its length vertical, from a fixed point by a
massless spring, such that it is half submerged in a
liquid of density σ at equilibrium position. The
extension x0 of the spring when it is in equilibrium
is - (Here k is spring constant)