List of top Questions asked in MET- 2013

The temperature of the black body increases from \(T\) to \(2T\). The factor by which the rate of emission will increase is
A police jeep is chasing with velocity of 45 km/h a thief in another jeep moving with velocity 153 km/h. Police fires a bullet with muzzle velocity of 180 m/s. The velocity with which it will strike the car of the thief is
If the energy of a hydrogen atom in \(n^{\text{th}}\) orbit is \(E_n\) then energy in the \(n^{\text{th}}\) orbit of a singly ionized helium atom will be
If the work function of a metal is 6.875 eV, its threshold wavelength will be (Take \(c = 3 \times 10^8\) m/s)
Which of the following is unipolar transistor?
If the length of a pendulum is made 9 times and mass of bob is made 4 times, then the value of time period becomes
Two weights \(w_1\) and \(w_2\) are suspended to the two strings on a frictionless pulley. When the pulley is pulled up with an acceleration \(g\) then the tension in the string is
An observer looks at a tree of height 15 m with a telescope of magnifying power 10. To him the tree appears
An inductor is connected to a battery through a switch. Induced emf is \(e_1\) when the switch is pressed and \(e_2\) when the switch is opened. Then
The speed of a wave on a string is 150 m/s when the tension is 120 N. The percentage increase in the tension in order to raise the wave speed by 20% is
The energy supplied to Kolkata by the state electricity board during an average November week day was 40 GWh. If this energy could be obtained by the conservation of matter, how much mass would have to be annihilated?
A simple pendulum has time period \(T_1\). The point of suspension is now moved upward according to the relation \(y = kt^2\) where \(k = 1\) ms\(^{-2}\). The time period now becomes \(T_2\). The ratio \(\frac{T_1^2}{T_2^2}\) is \((g = 10\) m/s\(^2)\)
An electron is moving round the nucleus of a hydrogen atom in a circular orbit of radius r. The Coulomb force F between the two is
A charge q is located at the centre of a cube. The electric flux through any face is
In the Boolean Algebra \(\overline{A \cdot B}\) is same as
Calculate the electronegativity of chlorine from bond energy of Cl-F bond (61 kcal mol\(^{-1}\)), F-F (38 kcal mol\(^{-1}\)) and Cl-Cl bond (58 kcal mol\(^{-1}\)) and electronegativity of fluorine 4.0 eV
A sample of ammonium phosphate (NH\(_4\))\(_3\)PO\(_4\) contains 3.18 moles of H-atom. The number of moles of O-atom in the sample is
In the following compound keto group is at position
In the following reaction sequence:
I. Formation of A has proceeded with racemisation.
II. Formation of B has proceeded with inversion.
Select the correct statement.
In this reaction, we get types of substituted alcohols (stereoisomers not considered)
Electrophile NO\(_2^+\) attacks the following compounds. In which cases, NO\(_2\) will be at meta position?
The reaction of 1-bromo-3-chlorocyclobutane with metallic sodium in dioxane gives
Find X
End product of following sequence of reaction is
If the sum of two of the roots of \(x^3 + px^2 + qx + r = 0\) is zero, then \(pq =\)