The scientific principle that forms the basis of the tokamak technology is 

Controlled nuclear fission 

Motion of charged particles in electromagnetic fields 

Magnetic confinement of plasma 

Superconductivity

If E and \(E_o\) represent the energies, t and \(t_0\) represent the times , in which of the following is dimensionally correct relation? 

\(E=E_0e^{-t} \)

 \(E=E_0t_0e^{-t/t_0} \)

\(E=E_0t_0e^{{-t}^2} \)

\(E=E_0e^{-t/t_0} \)

A ball is dropped from a bridge that is 45 metre above the water . It falls directly into a boat which is moving with constant velocity. The boat is 12 m away from the point of impact when the ball is dropped . The speed of the boat is

(Take \(g=10\,m/s^2\))

2 m\s

3 m\s 

4 m\s

5 m\s

A ball is dropped from a height H from rest. The ball travels \(\Large\frac{H}{2}\) in last 1.0 s. The total time taken by the ball to hit the ground is 

3.85 s 

3.41 s 

2.55 s 

4.65 s

A planet is moving in a circular orbit. It completes 2 revolutions in 360 days. what is its angular frequency? 

\(1.5\times10^{-2}\,rad/day\)

\(2.5\times10^{-2}\,rad/day\)

\(3.5\times10^{-2}\,rad/day\)

\(4.5\times10^{-2}\,rad/day\)

The vector sum of two forces is perpendicular to their vector differences. In that case, the forces 

cannot be predicted 

always are equal to each other 

are equal to each other in magnitude 

are not equal to each other in magnitude

A mass m is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, then with what acceleration will the mass release? (Assume g = acceleration due to gravity)

\(\Large\frac{2g}{3} \)

 \(\Large\frac{g}{2} \)

\(\Large\frac{5g}{6} \)

g

A particle of mass \(m_1\) collides with a particle of \(m_2\) at rest . After the elastic collision, the two particles moves at an angle of 90° with respect to each other. The ratio \(\Large\frac{m_2}{m_1}\) is

1.0 

1.5 

2.0 

2.5

A block of mass 100 g moving at a speed of 2 m/s compresses a spring through a distance 2 cm before its speed is halved. Find the spring constant of the spring 

1250 N/m 

750N/m

l000N/m 

1500 N/m

A bullet of mass m moving horizontally with speed \(v_0\) hits a wooden block of mass M that is suspended from a massless string. The bullet gets lodged into the block and comes into halt. If the block-bullet combine swings to a maximum height h, then how much of the initial kinetic energy of the bullet is lost in the collision?

\({\Large\frac{1}{2}}mv_0^2\left ( \Large\frac{M}{m+M} \right ) \)

\({\Large\frac{1}{2}}mv_0^2\left ( \Large\frac{M+m}{M} \right ) \)

\({\Large\frac{1}{2}}mv_0^2\left ( \Large\frac{M^2}{(m+M)^2} \right ) \)

\({\Large\frac{1}{2}}mv_0^2\left ( \Large\frac{(M+m)^2}{M^2} \right ) \)

A ball of mass 100 g is dropped at time t = 0. A second ball of mass 200 g is dropped from the same point at t = 0.2 s. The distance between the center of mass of two balls and the release point at t = 0.4 s is: (Assume g = 10 \(m/s^2\))

0.4 m 

0.5 m 

0.6 m 

0.8 m

A ball of mass M moving with a speed of 2 m/s hits another ball of mass 1 kg moving in the same direction with a speed of 1 m/s. If the kinetic energy of center of mass is \(\Large\frac{4}{3}\) Joule then the magnitude of M is 

1kg 

0.25 kg 

0.50 kg 

2 kg 

A simple harmonic oscillator of frequency 1 Hz has a phase of 1 radian. By how much should the origin be shifted in time so as to make the phase of the oscillator vanish. ( time in seconds ( s)). 

\(-{\Large\frac{1}{\pi}}s \)

\(-{\Large\frac{1}{2\pi}}s \)

\(-{\Large\frac{\pi}{2}}s \)

\(-\pi\,s \)

A planet is revolving around the sun in which of the following is correct statement? 

The time taken in travelling DAB is less than that for BCD 

The time taken in travelling DAB is greater than that for BCD 

The time taken in travelling CDA is less than that for ABC 

The time taken in travelling CDA is greater than that for ABC

The wrong statement in the following is 

The bulk modulus for solids is much larger than for liquids 

Gases are least compressible 

The incompressibility of the solids is due to the tight coupling between neighbouring atoms.

The reciprocal of the bulk modulus is called compressibility

The speed of the water in a river is 'V' near the surface. If the coefficient of viscosity of water is '\( η\) ' and the depth of the river is 'H', then the shearing stress between the horizontal layers of water is 

\(\eta {\Large\frac{H}{V}} \)

\(\eta {\Large\frac{V}{H}} \)

\( {\Large\frac{V}{\eta H}} \)

\(\eta\,VH \)

A steel rod at 25 °C is observed to be 1m long when measured by another metal scale which is correct at 0 °C. The exact length of steel rod at 0 °C is (\(∝_{steel}\) = \(12 ×10^{-6}\) / °C, \(∝_{metal} = 20 × 10^{-6} \)/ °C) 

1.00002 m 

1.0002 m 

0.998 m 

0.9998 m

Latent heat of vaporisation of water is \(22.6×10^5\) J/kg. The amount of heat needed to convert 100 kg of water into vapor at 100 °C is 

\(11.3\times 10^5\,J \)

\(11.3\times 10^6\,J \)

\(22.6\times 10^6\,J \)

\(22.6\times 10^7\,J \)

The P-V diagram shown below indicates two paths along which a sample of gas can be taken from state A to state B. The energy equal to 5 PV in the from of heat is required to be transferred if the Path -1 is chosen. How much energy in the from of heat should be transferred if Path-2 is chosen?

\({ \Large\frac{11}{2}}PV\)

6 PV

\( { \Large\frac{9}{2}}PV \)

7 PV

The Nobel laureate ABDUS SALAM is Known for discovery of 

Wave nature of matter 

Cyclotron 

Unification of weak and electromagnetic interactions 

Cosmic radiation

The dimension of light year 

\(LT ^{-1}\) 

\(T \)

\(ML^2T^{-2}\)

\(L\)

The position of an object moving along x-axis is given as \(x =a+ bt^2\) , where a, b are constants and t is time in seconds. The object covers a distance of 16 m in 2 secs. If the average velocity of the object between t = 3 s and t = 5 s is 28 m/s , the values of a and b are :

\(2\,m,3.5\,m/s^2 \)

\(4\,m,3\,m/s^2 \)

\(6\,m,2.5\,m/s^2 \)

\(0\,m,4\,m/s^2 \)

The following figure shows the speed-time graph of a particle moving along a fixed direction. The distance travelled by the particle between time t = 0 s to t = 6 s is 

50.2 m 

60.8 m 

30.6 m 

40.8 m

vector \(\vec{a}=\hat{i}+2\hat{j}+2\hat{k} \) and \(\vec{b}=\hat{i}-\hat{j}+\hat{k} \) . What is the unit vector along \(\vec{a}+\vec{b} \)?

\({\Large\frac{2\hat{i}+\hat{j}+3\hat{k}}{\sqrt{14}}} \)

\({\Large\frac{2\hat{i}-\hat{j}+4\hat{k}}{\sqrt{20}}} \)

\({\Large\frac{2\hat{i}+\hat{j}+3\hat{k}}{\sqrt{13}}} \)

\({\Large\frac{2\hat{i}+\hat{j}-3\hat{k}}{\sqrt{10}}} \)

A particle aimed at a target, projected at an angle 15° with the horizontal is short of the target by 10 m. If the same particle projected at an angle of 45° with the horizontal then it is away from the target by 15 meters. The angle of projection to hit the target is

\({\Large\frac{1}{2}}Sin^{-1}\left ( {\Large\frac{1}{10}} \right ) \)

\({\Large\frac{1}{2}}Sin^{-1}\left ( {\Large\frac{3}{10}} \right ) \)

\({\Large\frac{1}{2}}Sin^{-1}\left ( {\Large\frac{9}{10}} \right ) \)

\({\Large\frac{1}{2}}Sin^{-1}\left ( {\Large\frac{7}{10}} \right ) \)

Two balls A and B of masses 50 kg and 20 kg are moving in a straight line in the same direction at speed of 9 km/h and 18 km/h respectively. Ball B hits A and reverses its direction at a speed of 27 km/h. The speed of the ball A after the collision is 

27 km/h 

18 km/h 

22.5 km/h

15 km/h

A simple pendulum is suspended from the ceiling of a car taking a turn of radius 10 m at a speed of 10 m/s. Find the angle made by the string of the pendulum with the vertical if this angle does not change during the turm. (Assume g = 10 m/\(s^2\) ) 

\(30^o\) 

\(45^o \)

\(60^o\) 

\(75^o\)

In the diagram below the spring has a force constant of K, the block has a mass of m, and the height of hill is h. Determine the compression of the spring x such that the block just reaches to the  top of the hill. (Assume that there are no non-conservative forces involved.)

\(x=\sqrt{{\Large\frac{2mgh}{K}}} \)

\(x=\sqrt{{\Large\frac{2m}{Kg}}} \)

\(x=\sqrt{{\Large\frac{K}{2mg}}} \)

\(x=\sqrt{{\Large\frac{mgh}{2K}}} \)

Two masses of 1 g and 4 g are moving with equal kinetic energy. The ratio of the magnitudes of their linear momentum is 

4 : 1 

1 : 2  

\(\sqrt2\) : 1 

1 : 16

A solid body rotates with angular velocity \(\omega=at\,\hat{i} +bt^2\,\hat{i} \) where \(a=1\,rad/s^2 \) and \(b=0.5\,rad/ s^3 \) and t is in seconds. Calculate the angle between the vectors of the angular velocity and the angular acceleration at t = 1 sec.

\(Cos^{-1}\left ( \Large\frac{5}{\sqrt{10}} \right ) \)

\(Cos^{-1}\left ( \Large\frac{4}{\sqrt{10}} \right ) \)

\(Cos^{-1}\left ( \Large\frac{2}{\sqrt{10}} \right ) \)

\(Cos^{-1}\left ( \Large\frac{3}{\sqrt{10}} \right ) \)

A uniform wire of length ‘L’ with centre of mass at the origin is lying along the x - axis. The wire is bent in the form of a circle such that its lowest point is at the origin. Then the shift of centre of mass is

\(\Large\frac{L}{\pi} \)

\(\Large\frac{2L}{\pi} \)

\(\Large\frac{L}{2\pi} \)

\(\Large\frac{L}{3\pi} \)

The function ( \(sin\omega t-cos\omega\,t\) ) represents the S. H. M having a time period T 

\(\Large\frac{\pi}{\omega} \)

\(\Large\frac{2\pi}{\omega} \)

π 

2π

In an earth satellite moving in a circular orbit, a piece of metal (weighing 0.016 kg on the earth) is weighed by a spring balance while the metal is suspended in water. If the density of metal is 8 times of water density, then the recorded weight will be (g is acceleration due to gravity) 

14 g 

-2 g 

Zero  

2g

Consider a metallic. wire of length 10 m. An external force applied results in an elongation of 5 mm. What is the potential energy stored per unit volume [Young's modulus of wire \(Y=16\times 10^{10}\,N/m^2 \) ]

\(2.00\times 10^4\,J/m^3 \)

\(2.58\times 10^3\,J/m^3 \)

\(2.12\times 10^3\,J/m^3 \)

\(2.72\times 10^4\,J/m^3 \)

A cylindrical block of wood of mass 10 kg and radius 10 cm is floating in water with its axis vertical. when it is depressed a little and then released it starts executing simple hormonic motion (SHM). The frequency of the SHM executed by the block 1s: (Assume \(g=10\,m/s^2 \) and let \(\rho \) is the density of the water)

\({\Large\frac{1}{20}}\sqrt{\Large\frac{\rho}{\pi}} Hz \)

  \({\Large\frac{1}{2\pi}}\sqrt{\Large\frac{\rho}{10}} Hz \)

\({\Large\frac{1}{\pi}}\sqrt{\Large\frac{\rho}{10}} Hz \)

\({\Large\frac{1}{10}}\sqrt{\Large\frac{\rho}{2\pi}} Hz\)

50 g of ice at 0 °C is mixed with 50 g of water at 80 °C. If the latent heat of ice is 80 cal/g and specific heat of water is 1 cal/g °C, then the final temperature of mixture is 

0 °C 

40 °C 

60 °C 

4 °C

In the case of black body for energy distribution, energy radiated by a blackbody which is given by, Planck's formula reduces to Rayleigh Jean's formula for 

long wavelength region 

short wavelength region 

equal wavelength of radiation 

long frequency region

An air conditioner (AC) removes heat at a rate of 1.2 kJ/sec from a room. A power of 400W is required to run the AC. The coefficient of performance (α ) of the AC is 10% of that of the refrigerator operating between outside and room temperature. If outside temperate is 3 7 °C, what will be room temperature?

31°C

27°C 

24°C 

25°C

Two vessels separately contain two ideal gases A and B at the same temperature. The pressure of gas A is three times the pressure of gas B. Under these conditions, the density of gas A is found to be two times the density of B. The ratio of molecular weights of gas A and B, i.e. \(\Large\frac{M_A}{M_B} \) is 

\(\Large\frac{2}{3} \)

\( \Large\frac{3}{2} \)

\( \Large\frac{3}{4} \)

\( \Large\frac{4}{3} \)

Two coherent plane waves of identical frequency, polarization and intensity

(\(I\)) interfere at a point where they differ in phase by 60°. What is the resulting intensity? 

\(I\)

2\(I\)

3\(I\)

4\(I\)

The position of final image formed by the given lens combination from the third lens will be at a distance of (\(f_1 =+ 10\), \(f_2=-10\,cm\) and \(f_3= +30 cm\)) 

15 cm 

Infinity 

45 cm 

30cm

An object is placed at a distance of 40 cm in front of a concave minor of focal length 20 cm. The image produced is 

real, inverted and smaller in size 

real, inverted and of same size 

real and erect 

virtual and inverted

Two beams of monochromatic light with intensities 64 mW and 4 mW interfere constructively to produce an intensity of 100 mW. If one of the beams is shifted by an angle θ, the intensity is reduced to 84 mW. The magnitude of θ is 

\(30^\circ\)

\(60^\circ\)

\(45^\circ\)

\(Cos^{-1}\left (\Large\frac{1}{3} \right )\)

A particle of mass \(2 × 10^{-6}\, kg\) with a charge \(5 × 10^{- 6}\, C\) is hanging in air above a similarly charged conducting surface. The charge density of the smface is (Assume \({\Large\epsilon _o} = 8.85 × 10^{-12}\, C^2 N^{-1} M^{-2}\) and g = 10 m/s2 ) 

\(35.4 × 10^{-12} C/m^2 \)

\(23.6 × 10^{-12} C/m^2 \)

\(53.1 × 10^{-12} C/m^2 \)

\(17.7 × 10^{-12 }C/m^2\)

Find the equivalent capacitance between point A & B. 

4C 

3C 

2C 

1C

A circular wire has current density \(J=\left ( 2\times\,10^{10}{\Large\frac{A}{m^2}} \right )r^2\) where r is the radial distance, out of the wire radius is 2 mm. The end-to-end potential applied to the wire is 50 V. How much energy (in joule) is converted to thermal energy in 100 s? 

1200π 

800π 

3200π 

600π

The resistance in following circuit are \(R_1= R_2= R_3 =6.0 \,Ω\). The emf of the battery is 12 volts. When switch S is closed, the potential across resistance \(R_1\) is changed by an amount. 

-2V 

+2V 

-4V 

+4V

Figure below shows three circuits consisting of concentric circular arcs and straight radial lines. The center of the circle is shown by the dot. Saine current flows through each of the circuits. If \(B_1, B_2, B_3\) are the magnitudes of the magnetic field at the center. Which of the following is true?

\(B_1>B_2>B_3 \)

\(B_1>B_3>B_2\)

\(B_3>B_1>B_2\)

\(B_3>B_2>B_1\)

A charged particle moves through a magnetic field perpendicular to its direction. Then 

kinetic energy changes but the momentum is constant 

the momentum changes but the kinetic energy is constant 

both momentum and kinetic energy of the particle are not constant 

both momentum and kinetic energy of the particle are constant

The length \(l\) of a magnet is large compared to its width and breadth. The time period of its oscillation in a vibration magnetometer is 2s. The magnet is cut into three equal parts of length \(\Large\frac{l}{3}\) each. If these parts are placed on each other with their like poles together, then the time period of this combination is 

\(2\sqrt{3}\,s \)

\({\Large\frac{2}{3}} \,s\)

\(2\,s \)

\({\Large\frac{2}{\sqrt3}}\,s\)

Two straight conducting rails form a right angle as shown below. A conducting bar in contact with the rails starts at the vertex at time t = 0 and moves with constant velocity of v = 5 m/s along them. A magnetic field with B = 0.1 T is directed out of the page. The absolute value of the emf around the triangle at the time t = 4 swill be? 

10V 

15V 

20V 

30V

A current of 6 A is flowing at 220 V in the primary coil of a transformer. If the voltage produced in the secondary coil is 1100 V and 40 % of power is lost, then the current in the secondary coil will be: 

0.28A 

0.36A 

0.48A 

0.42A

The phase difference between the following two waves \(y_2\) and \(y_1\) is: \(y_1=s\,sin(\omega t-kx) \)

\(y_2=b\,cos\left ( wt-kx+{\Large\frac{\pi}{3} }\right ) \)

\({\Large\frac{\pi}{6} } \)

\({\Large\frac{5\pi}{6} } \)

\({\Large\frac{\pi}{3} } \)

\(\pi\)

A beam of photons with an energy of 10.5 eV strike a metal plate. The photoelectrons are emitted with maximum velocity of \(1.6 \times10^6\) m /s. The work function of the metal is (Assume mass of electron = \(9 × 10^{-31}\) kg and Charge of electron = \(1.6 × 10^{-19}\) C) 

3.0 eV 

3.1 eV 

3.3 eV 

3.5 eV

In the hydrogen atom spectrum , let \(E_1\) and \(E_2\) are energies for the transition \(n = 2 \rightarrow n = 1\) and \(n = 3\rightarrow n = 2\) respectively. The ratio \(E_2\)/\(E_1\) is 

\( \Large\frac{2}{3}\)

\(\Large\frac{3}{2}\)

\( \Large\frac{2}{9} \)

\(\Large\frac{5}{27}\)

What is the binding energy of \(_{14}^{29}\textrm{Si}\) whose atomic mass is 28.976495 u

Mass of proton = 1.007276 u

Mass of neutron = 1.008664 u

(Neglect the electron mass) (Assume 1 u = 931.5 Me V) 

237.84 MeV 

421.72 MeV 

387.21 MeV 

116.35 MeV

Which of the following statements is incorrect? 

The resistance of intrinsic semiconductors decrease with increase of temperature 

Doping pure Si with trivalent impurities give ptype semiconductors 

The majority carriers in n-type semiconductors are holes 

A p-n junction can act as a semiconductor device

A piece of copper and another of germanium are cooled from room temperature to 77 °K. The resistance of 

copper increases and germanium decreases 

both decreases 

both increases 

copper decreases and germanium increases

A carrier signal of frequency \(\nu_1\) and peak voltage of \(V_1\) is modulated by a message signal of frequency \(\nu_2\) and peak voltage of \(V_2\) . Let m be the modulation index and \(\nu_+,\nu_-\)  be side bands produced. The correct statement is

\(m=\Large\frac{V_1}{V_2} \)

\(\nu _1=\Large\frac{\nu _++\nu _-}{2} \)

\( \nu _2=\Large\frac{\nu _++\nu _-}{2} \)

\( m>\Large\frac{V_2}{V_1}\)

Pressure versus temperature graph of an ideal gas at constant volume V is shown by the straight-line A. Now mass of the gas is doubled and the volume is halved then the corresponding pressure versus temperature graph will be shown by the line

A 

B 

C 

D

A standing wave can be produced by combining 

Two longitudinal travelling waves 

Two transverse travelling waves 

Two sinusoidal travelling waves of identical frequency travelling in opposite directions 

Two sinusoidal travelling waves of identical frequency travelling in same direction

In which colour have maximum dispersion 

Violet colour 

Red colour 

Yellow colour 

Blue colour

A convex lens is in contact with a concave lens. The magnitude of the ratio of their focal length is \(\Large\frac{5}{3} \) . If their equivalent focal length is 45 cm, the  individual focal lengths of concave and convex lens are respectively.

-10 cm,15 cm 

-25 cm,10 cm 

-85 cm,10 cm 

-30 cm,18 cm

A thin transparent sheet of thickness 't' is placed in front of a Young's double slit. The fringe width will be (µ >1) 

Increase 

remain same 

become non-uniform 

decrease

Four point charges \(q_A = 2μC, q_B = -5µC, q_C = 2µC, q_D = -5µ\)C are located at the corners of a square ABCD of side 10 cm. The force acting on a charge of 1μC placed at centre of the square is  

Zero 

1N 

2N 

3N

N number of charges, +Q each, are placed maintaining equal distance on the circumference of a circle of radius R. The net electrostatic potential at the centre of the circle is 

zero only if N is odd 

zero only if N is even 

\(\Large\frac{1}{4\pi\varepsilon _0}\frac{NQ}{R}\) only if N is even

\(\Large\frac{1}{4\pi\varepsilon _0}\frac{NQ}{R}\) irrespective of N is even or odd

Resistivity of the material of a conductor having uniform area of cross-section varies along its length on x , according to the relation \(\rho=\rho _0(a+bx) \); if L is length and A is cross-section area of conductor, then resistance of the conductor given by ( \( \rho _0 \) ,a,b are constants)

\({\Large\frac{\rho _0}{A}} \left [ L+{\Large\frac{bL^2}{2}} \right ] \)

\({\Large\frac{\rho _0}{A}} \left [ aL+{\Large\frac{bL^3}{2}} \right ] \)

\({\Large\frac{\rho _0}{A}} \left [ aL^2+{\Large\frac{bL^3}{2}} \right ] \)

\({\Large\frac{\rho _0}{A}} \left [ aL+{\Large\frac{bL^2}{2}} \right ] \)

Thirteen resistors each of resistance 'R are connected in the circuit as shown in the following figure. Net resistance between A and B is 

2R

\(\Large\frac{4R}{3} \)

\(\Large\frac{2R}{3} \) 

R

A conducting circular loop of radius r carries a constant current i. It is placed in an uniform magnetic field \(\vec{B_0} \) such that \(\vec{B_0} \) is perpendicular to the plane of the loop. The magnetic force acting on the loop is .

\(ir {B_0} \)

\(2\pi i r{B_0} \) 

Zero

\(\pi i r{B_0} \)

Let \(\vec{B_1} \) is the magnetic field at the centre of the current carrying coil of radius R and \(\vec{B_2} \) is the magnetic field on the axis of same circular coil at the distance of 3R. Then the ratio \({\Large\frac{\left|\vec{B_1} \right|}{\left|\vec{B_2} \right|}} \)

\(10\sqrt{10} \)

\(20\sqrt{10} \)

\(2\sqrt{10} \)

\(\sqrt{10}\)

A magnetic needle kept in a non-uniform magnetic field experiences 

force but not a torque 

neither a force nor torque 

both force and torque 

a torque but not force

A coil of wire of area \( 0.2\,m^2 \) containing 1000 turns is placed in a magnetic field of induction \(\sqrt2\,T \) . At time t = 0, the axis of the coil and the direction of magnetic field are along z-direction. The coil is rotated by an angle 45° in 2s about y-axis. Assuming the constant angular speed, the average e.m.f induced in the coil is approximately  

100V 

41.4V 

58.6V 

72.8V

Three identical emf sources are attached to a single circuit element: a resistor, a capacitor, or an inductor. The current amplitude is then measured as a function of frequency. Which one of the following curve corresponds to inductive circuit? 

a 

b 

c 

d

A plane electromagnetic wave of frequency 30 MHz is travelling along \(\hat{k} \) - direction. At a particular point of space and time of propagation,  if the electric field is given by \( \vec{E}=30\,Volts/meter(-\hat{i}) \) , then the corresponding magnetic field is 

\(10^{-7}T\,\,\,\) along \(\hat{j} \) direction 

\(10^{-7}T\,\,\,\) along negative \(\hat{j} \) direction 

\(10^{7}T\,\,\,\) along \(\hat{i} \) direction 

\(10^{7}T\,\,\,\) along negative \(\hat{i} \) direction

In the experimental study of photoelectric effect, if \(V_o\) is the stopping potential and \(\nu\) is the frequency of the incident light on the metal the slope of graph plotted for \(V_o\) versus \(\nu\) is (where h, e and \(\phi_0\) are Planck's constant, charge of electron and work function of the metal respectively.) 

h

\( \Large\frac{h}{e} \)

\( \Large\frac{\phi _0}{e}\)

\(\phi_0\)

The series corresponding to lowest wavelength transition in H - atom. 

Balmer Series  

Lyman Series 

Paschen Series 

Brackett Series

The equation \(4_{1}^{1}\textrm{H^+}\rightarrow _{2}^{4}\textrm{He}^{2+}+2e^{+1}+26\,MeV \) represents. 

β- decay 

γ − decay 

fusion 

fission

The universal gates are 

OR and AND 

NOR and NAND 

OR and NOT 

NOT and AND

What is the output of given logic circuit below if A = 0 , B = 1 and A = 1, B = 0 

0 and 0 

1 and 0 

0 and 1 

1 and 1

 A message signal 15 sin(100πt) is used to modulate a carrier signal \( 45\,sin(3\times10^6\pi t) \). The modulation index is

3

\(\Large \frac{1}{3}\) 

30 

60