NEET 2014 Question Paper with Solutions

If \(n_1 n_2\) and \(n_3\) are the fundamental frequencies of three segments into which a string is divided then the original fundamental frequency n of the string is given by \(\frac{1}{n} = \frac{1}{n_1} + \frac{1}{n_2} + \frac{1}{n_3}\) \(\frac{1}{\sqrt{n}} = \frac{1}{\sqrt{n_1}} + \frac{1}{\sqrt{n_2}} + \frac{1}{\sqrt{n_3}}\) \(\sqrt{n} = \sqrt{n_1} + \sqrt{n_2} + \sqrt{n_3}\) \(n = n_1 + n_2 + n_3\)

The number of possible natural oscillations of air column in a pipe closed at one end length 85 cm whose frequencies lie below 1250 Hz are (Velocity of sound = \(340\ \text{m s}^{-1}\)) 4 5 7 6

Steam at \(100^\circ C\) is passed into 20 g of water at \(10^\circ C\). When water acquires a temperature of \(80^\circ C\) the mass of water present will be [Take specific heat of water = 1 cal \(g^{-1}\ ^\circ C^{-1}\) and latent heat of steam = 540 cal \(g^{-1}\)] 24 g 31.5 g 42.5 g 22.5 g

The ratio of the accelerations for a solid sphere (mass m and radius R) rolling down an incline of angle \(\theta\) without slipping and slipping down the incline without rolling is 5:7 2:3 2:5 7:5

Copper of fixed volume V is drawn into wire of length l. When this wire is subjected to a constant force F the extension produced in the wire is \(\Delta l\). Which of the following graphs is a straight line? \(\Delta l\) versus \(1/l\) \(\Delta l\) versus \(l^2\) \(\Delta l\) versus \(1/l^2\) \(\Delta l\) versus \(l\)

In the Kjeldahl's method for estimation of nitrogen present in a soil sample ammonia evolved from 0.75 g of sample neutralized 10 mL of 1 M \(H_2SO_4\). The percentage of nitrogen in the soil is 37.33 45.33 35.33 43.33

\(Be^{2+}\) is isoelectronic with which of the following ions? \(H^+\) \(Li^+\) \(Na^+\) \(Mg^{2+}\)

The pair of compounds that can exist together is \(FeCl_3 SnCl_2\) \(HgCl_2 SnCl_2\) \(FeCl_2 SnCl_2\) \(FeCl_3 KI\)

Calculate the energy in joule corresponding to light of wavelength 45 nm. (Planck's constant h = \(6.63 \times 10^{-34}\ \text{J s}\) speed of light c = \(3 \times 10^8\ \text{m s}^{-1}\)) \(6.67 \times 10^{15}\) \(6.67 \times 10^{11}\) \(4.42 \times 10^{-15}\) \(4.42 \times 10^{-18}\)

Using the Gibb's energy change \(\Delta G^\circ = +63.3\ \text{kJ}\) for the following reaction \(Ag_2CO_3(s) \rightleftharpoons 2Ag^+(aq) + CO_3^{2-}(aq)\) the \(K_{sp}\) of \(Ag_2CO_3(s)\) in water at \(25^\circ C\) is (R = 8.314 J \(K^{-1} mol^{-1}\)) \(3.2 \times 10^{-26}\) \(8.0 \times 10^{-12}\) \(2.9 \times 10^{-3}\) \(7.9 \times 10^{-2}\)

The angle of a prism is A. One of its refracting surfaces is silvered. Light rays falling at an angle of incidence 2A on the first surface returns back through the same path after suffering reflection at the silvered surface. The refractive index \(\mu\) of the prism is \(2\sin A\) \(2\cos A\) \(\frac{1}{2}\cos A\) \(\tan A\)

In a region the potential is represented by \(V(x y z) = 6x - 8xy - 8y + 6yz\) where V is in volts and x y z are in metres. The electric force experienced by a charge of 2 coulomb situated at point (11 1) is \(6\sqrt{5}\ \text{N}\) 30 N 24 N \(4\sqrt{35}\ \text{N}\)

Two identical long conducting wires AOB and COD are placed at right angle to each other with one above other such that O is their common point for the two. The wires carry \(I_1\) and \(I_2\) currents respectively. Point P is lying at distance d from O along a direction perpendicular to the plane containing the wires. The magnetic field at the point P will be \(\frac{\mu_0}{2\pi d}(I_2-I_1)\) \(\frac{\mu_0}{2\pi d}(I_1+I_2)\) \(\frac{\mu_0}{2\pi d}(I_1^2-I_2^2)\) \(\frac{\mu_0}{2\pi d}(I_1^2+I_2^2)^{1/2}\)

Light with an energy flux of \(25 \times 10^4\ \text{W m}^{-2}\) falls on a perfectly reflecting surface at normal incidence. If the surface area is \(15\ \text{cm}^2\) the average force exerted on the surface is \(1.25 \times 10^{-6}\ \text{N}\) \(2.50 \times 10^{-6}\ \text{N}\) \(1.20 \times 10^{-6}\ \text{N}\) \(3.0 \times 10^{-6}\ \text{N}\)

Two thin dielectric slabs of dielectric constants \(K_1\) and \(K_2\) (\(K_1 < K_2\)) are inserted between plates of a parallel plate capacitor as shown in the figure. The variation of electric field E between the plates with distance d as measured from plate P is correctly shown by

The weight of silver (at. wt. = 108) displaced by a quantity of electricity which displaces 5600 mL of \(O_2\) at STP will be 5.4 g 10.8 g 54.0 g 108.0 g

Which one is most reactive towards nucleophilic addition reaction?

In the following reaction the product (A) is

Which of the following will be most stable diazonium salt \(RN_2^+X^-\)? \(CH_3N_2^+X^-\) \(C_6H_5N_2^+X^-\) \(CH_3CH_2N_2^+X^-\) \(C_6H_5CH_2N_2^+X^-\)

If a is the length of the side of a cube the distance between the body centered atom and one corner atom in the cube will be \(\frac{2}{\sqrt{3}}a\) \(\frac{4}{\sqrt{3}}a\) \(\frac{\sqrt{3}}{4}a\) \(\frac{\sqrt{3}}{2}a\)