NEET 2016 Question Paper with Solutions

A uniform rope of length L and mass \(m_1\) hangs vertically from a rigid support. A block of mass \(m_2\) is attached to the free end of the rope. A transverse pulse of wavelength \(\lambda_1\) is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is \(\lambda_2\). The ratio \(\lambda_2/\lambda_1\) is \(\sqrt{\frac{m_1}{m_2}}\) \(\sqrt{\frac{m_1+m_2}{m_1}}\) \(\sqrt{\frac{m_2}{m_1}}\) \(\sqrt{\frac{m_1+m_2}{m_2}}\)

A car is negotiating a curved road of radius R. The road is banked at an angle \(\theta\). The coefficient of friction between the tyres of the car and the road is \(\mu_s\). The maximum safe velocity on this road is \(\sqrt{Rg\frac{\mu_s+\tan\theta}{1-\mu_s\tan\theta}}\) \(\sqrt{R^2g\frac{\mu_s+\tan\theta}{1-\mu_s\tan\theta}}\) \(\sqrt{gR^2\frac{\mu_s+\tan\theta}{1-\mu_s\tan\theta}}\) \(\sqrt{gR\frac{\mu_s+\tan\theta}{1-\mu_s\tan\theta}}\)

A disc and a sphere of same radius but different masses roll off on two inclined planes of the same altitude and length. Which one of the two objects gets to the bottom of the plane first? Both reach at the same time Depends on their masses Disc Sphere

At what height from the surface of earth the gravitation potential and the value of g are \(-5.4 \times 10^7\ \text{J kg}^{-1}\) and \(6.0\ \text{m s}^{-2}\) respectively? Take the radius of earth as 6400 km. 1400 km 2000 km 2600 km 1600 km

A gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is again reduced to half. Then Compressing the gas isothermally or adiabatically will require the same amount of work. Which of the case (whether compression through isothermal or through adiabatic process) requires more work will depend upon the atomicity of the gas. Compressing the gas isothermally will require more work to be done. Compressing the gas through adiabatic process will require more work to be done.

Two electrons occupying the same orbital are distinguished by azimuthal quantum number spin quantum number principal quantum number magnetic quantum number

Consider the following liquid-vapour equilibrium. Liquid \(\rightleftharpoons\) Vapour Which of the following relations is correct? \(\frac{d\ln P}{dT^2} = \frac{\Delta H_v}{T^2}\) \(\frac{d\ln P}{dT} = \frac{\Delta H_v}{RT^2}\) \(\frac{d\ln G}{dT^2} = \frac{\Delta H_v}{RT^2}\) \(\frac{d\ln P}{dT} = \frac{\Delta H_v}{RT}\)

The correct thermodynamic conditions for the spontaneous reaction at all temperatures is \(\Delta H 0\) \(\Delta H 0\) and \(\Delta S < 0\)

For the following reactions: (A) \(CH_3CH_2CH_2Br + KOH \rightarrow CH_3CH=CH_2 + KBr + H_2O\) Which of the following statements is correct? (A) is elimination (B) and (C) are substitution reactions. (A) is substitution (B) and (C) are addition reactions. (A) and (B) are elimination reactions and (C) is addition reaction. (A) is elimination (B) is substitution and (C) is addition reaction.

Consider the nitration of benzene using mixed conc. \(H_2SO_4\) and \(HNO_3\). If a large amount of \(KHSO_4\) is added to the mixture the rate of nitration will be unchanged doubled faster slower

The intensity at the maximum in a Young's double slit experiment is \(I_0\). Distance between two slits is d = \(5\lambda\) where \(\lambda\) is the wavelength of light used in the experiment. What will be the intensity in front of one of the slits on the screen placed at a distance D = 10d? \(\frac{3}{4}I_0\) \(\frac{I_0}{2}\) \(I_0\) \(\frac{I_0}{4}\)

In a diffraction pattern due to a single slit of width a the first minimum is observed at an angle \(30^\circ\) when light of wavelength 5000 \(\text{\AA}\) is incident on the slit. The first secondary maximum is observed at an angle of \(\sin^{-1}(\frac{1}{2})\) \(\sin^{-1}(\frac{3}{4})\) \(\sin^{-1}(\frac{1}{4})\) \(\sin^{-1}(\frac{2}{3})\)

An inductor 20 mH a capacitor \(50\mu F\) and a resistor \(40\Omega\) are connected in series across a source of emf V = 10 sin 340t. The power loss in A.C. circuit is 0.76 W 0.89 W 0.51 W 0.67 W

Given the value of Rydberg constant is \(10^7\ \text{m}^{-1}\) the wave number of the last line of the Balmer series in hydrogen spectrum will be \(0.25 \times 10^7\ \text{m}^{-1}\) \(2.5 \times 10^7\ \text{m}^{-1}\) \(0.025 \times 10^4\ \text{m}^{-1}\) \(0.5 \times 10^7\ \text{m}^{-1}\)

A npn transistor is connected in common emitter configuration in a given amplifier. A load resistance of \(800\Omega\) is connected in the collector circuit and the voltage drop across it is 0.8 V. If the current amplification factor is 0.96 and the input resistance of the circuit is \(192\Omega\) the voltage gain and the power gain of the amplifier will respectively be 4 4 4 3.69 4 3.84 3.693.84

When copper is heated with conc. \(HNO_3\) it produces \(Cu(NO_3)_2\) NO and \(NO_2\) \(Cu(NO_3)_2\) and \(N_2O\) \(Cu(NO_3)_2\) and \(NO_2\) \(Cu(NO_3)_2\) and NO

Among the following the correct order of acidity is \(HClO_2 < HClO < HClO_3 < HClO_4\) \(HClO_4 < HClO_2 < HClO < HClO_3\) \(HClO_3 < HClO_4 < HClO_2 < HClO\) \(HClO < HClO_2 < HClO_3 < HClO_4\)

The ionic radii of \(A^+\) and \(B^-\) ions are \(0.98 \times 10^{-10}\ \text{m}\) and \(1.81 \times 10^{-10}\ \text{m}\). The coordination number of each ion in AB is 8 2 6 4

The product formed by the reaction of an aldehyde with a primary amine is carboxylic acid aromatic acid Schiff's base ketone

The correct statement regarding the basicity of arylamines is arylamines are generally more basic than alkylamines because of aryl group arylamines are generally more basic than alkylamines because the nitrogen atom in arylamines is sp-hybridised arylamines are generally less basic than alkylamines because the nitrogen lone-pair electrons are delocalised by interaction with the aromatic ring \(\pi\)-electron system arylamines are generally more basic than alkylamines because the nitrogen lone-pair electrons are not delocalised by interaction with the aromatic ring \(\pi\)-electron system.