List of top Questions asked in MET- 2014

Temperature constant, pressure changes. Find bulk modulus.
Area ratio hole:beaker = 0.1, height = 3 m, hole at 52.5 cm from bottom. Find \(v^2\).
A cylindrical conducting rod is kept along z-axis with magnetic field parallel to z-axis. Find induced current.
A circular disc of radius \(R/3\) is cut from a disc of radius \(R\). Find MOI of remaining part about \(O\).
Three infinite charged sheets are placed parallel. Find electric field at point \(P\).
Block pressed against wall by force \(F\). Find incorrect statement.
Simple pendulum lifted upward with acceleration \(a=1m/s^2\). Find ratio \(T_1^2/T_2^2\).
Which process does not occur through convection?
Open organ pipe becomes closed. Find harmonic relation.
2 L water heated from \(27^\circ C\) to \(77^\circ C\), power = 160 J/s. Find time.
Ideal gas insulated, heated by current through resistance \(100\Omega\), current \(1A\) for 5 min. Find change in internal energy.
Cylinder with varying radius. Choose correct statement.
Circular divisions = 50, pitch = 0.5 mm. Find diameter.
In measuring \(g = \frac{4\pi^2 l}{T^2}\), errors in \(l\) and \(T\) are given. Which gives most accurate result?
A solid sphere (radius \(R\)) recast into disc. MOI about edge remains same. Find disc radius.
Binary stars \(m_A, m_B\) move in circular orbits. Compare their time periods.
A massless rod is suspended by two identical strings. A mass is hung at distance \(x\) from left. Fundamental frequency in AB equals 2nd harmonic in CD. Find \(BO\).
Graph of image position \(v\) vs object position \(u\) for convex lens is given. Find focal length.
Given a sample of radium-226 having half-life of 4 days. Find probability that a nucleus disintegrates after 2 half-lives.
Object at 20 cm from plano-convex lens (f = 15 cm), plane surface silvered. Find image position.
Two blocks \(A(2m)\) and \(B(m)\) are connected and suspended by a spring. Find accelerations just after cutting the string.
Given \(R_1=1\Omega,\ R_2=2\Omega,\ C_1=2\mu F,\ C_2=4\mu F\). Find time constants for circuits I, II, III.
A square loop of side \(a\) carries current \(i\). Find magnetic field at centre.
Coercivity \(=4\times10^3 A/m\). Solenoid: 500 turns, length 1 m. Find current needed to demagnetise.
A magnet makes 40 oscillations per minute at a place with \(B_H = 0.1\times10^{-5}T\). At another place, time period is 2.5 s. Find \(B_H\) there.