A current carrying wire kept in a uniform magnetic field will experience a maximum force, when it is

A potential difference of 200 V is maintained across a conductor of resistance 100Ω. The number of electrons passing through it in 1s is 

A bi-convex lens of focal length is cut into two identical plano-convex lenses. The focal length of each part will be

For ionising an exicited hydrogan atom, the energy required (in eV) will be

The forbidden energy band gap in conductors, semiconductors and insulators are EG₁, EG₂ and EG₃ respectively. The relation among them is

Which of the following are not emitted by radioactive substances?

Which of the following spectral series in hydrogen atom gives spectral line of 4860 \(\overset { \circ }{ A } \)?

In photoelectric effect, the number of photoelectrons emitted is proportional to

In Young's double-slit experiment, the intensity is I at a point, where the path difference is \(\frac{\lambda}{6}\) (λ - wavelength of light used). If 10 denotes the maximum intensity then \(\frac{\boldsymbol{I}}{\boldsymbol{I}_{0}}\) is equal to

When compact disk is illuminated by a source of white light, coloured lines are observed. This is due to

A magnifying glass is used, as the object to be viewed can be brought closer to the eye than the normal near point. This results in

Which of the following has maximum penetrating power?

An electromagnetic wave travelling along z-axis is given as: \(\boldsymbol{E}=\boldsymbol{E}_{0} \cos (\boldsymbol{k z}-\omega \boldsymbol{t})\) Choose the incorrect option from the following

Which quantity is increased in a step-down transformer?

Curie law XT = constant, relating magnetic susceptibility (X) and absolute temperature (T) of magnetic substance is obeyed by

The value of emf in the secondary coil of transformer depends on

A 15.0 \(\mu\)F capacitor is connected to a 220 V,50 Hz source. The capacitive reactance is

At a certain place, horizontal component is 1/\(\sqrt{3}\) times the vertical component. The angle of dip at this place is

Figure shows electric field lines in which an electric dipole P is placed as shown. Which of the following statements is correct?

The intensity of magnetic field at a point X on the axis of a small magnet is equal to the field intensity at another point Y on equatorial axis. The ratio of distance of X and Y from the centre of the magnet will be

Number of electrons present in a negative charge of 8 C is ____________

Charge on a body is q1 and it is used to charge another body by induction. Charge on second body is found to be q2 after charging. Then

A lens has focal length 10 cm. An object is placed 15 cm in front of it. Where should a convex mirror be placed, so that image is formed at the object itself, when focal length of convex mirror is 12 cm?

The electric field at a distance R due to charge q is E. If the same charge is placed on the copper sphere Of radius R, the electric field strength at the surface of the conductor will be : 

The equivalent resistance in series combination is:

The smallest resistance that can be obtained by the combination of n resistors, each of resistance R is:

A magnet with moment M is given. If it is bent into a semicircular form, its new magnetic moment will be :

Consider the two idealized systems: (i) a parallel plate capacitor with large and small separation and (ii) a long solenoid of length L>>R, radius of the cross-section. In (i) \(\overset { \rightarrow }{ E } \) is ideally treated as a constant between plates and zero outside. In (ii) magnetic field is constant inside the solenoid and zero outside. These idealized assumptions, however, contradict fundamental law as below:

In Boolean algebra,If A = B = 1, then the value of (A.B+A) is

The input resistance of a silicon transistor is 100 ohm. Base current is changed by 40 \(\mu A\)which results in a change in collector current by 2 mA. This transistor is used as a common emitter amplifier with a load resistance of 4 \(k\Omega \) The voltage gain of the amplifier is:

The value of absolute electrical permittivity of free space is

An X-ray tube operates at 10KV. The ratio of X-ray wavelength to the de-Broglie wavelength is

Electric potential V and electric flux \(\phi\) are

Light described at a place by the equation\(E=(100 \ V/m) \ [\sin { (6\times { 10 }^{ 15 }{ s }^{ -1 })t+\sin { (8\times { 10 }^{ 15 } } } { s }^{ -1 })t]\) falls on a metal surface having work function 2.28eV. The maximum energy of the photoelectrons is: (use h = \(6.63\times { 10 }^{ -34 }Js\))

If \(M\left( A,Z \right) ,\ { M }_{ p }\ and\ { M }_{ n }\) denote the masses of the nucleus \(_{ Z }{ { X }^{ A } },\) proton and neutron respectively in units of U \(\left( where\ 1\ U=931.5\quad MeV/{ c }^{ 2 } \right) \) and B.E. represents its B.E. in MeV, then

Given the value of Rydberg constant is \({ 10 }^{ 7 }{ m }^{ -1 }.\) The wave number of the last line of Balmer series in hydrogen spectrum will be

Choose the quality whose SI unit is not ohm.

When number of turns of a soleniod is doubled, its self inductance becomes k times, where k =

Choose the wrong statement:

If \(\overset { \rightarrow }{ E } \) and \(\overset { \rightarrow }{ B } \) represent electric and magnetic field vectors of the electromagnetic wave the direction of propagation of electromagnetic wave is along

Huygens’s principle explains the wave nature of light and helps in understanding phenomena like reflection and refraction. According to sHuygen’s, every point on a wavefront acts as a source of secondary wavelets that spread out in all directions with the speed of light in the medium. The new wavefront is the envelops of these secondary wavelets. When light strikes a boundary between two media (e.g., air and glass), sit undergoes reflection or refraction. Consider a light wave traveling from air (refractive index n1 = 1) into glass (refractive index n2 = 1.5) at an angle of incidence 300 , Use Huygen’s principle to analyze the behavior of the wavefronts.
1.What is the angle of refraction when light passes from air to glass at an angle of incidence 300 ?
(a) 19.470
(b) 450
(c) 300
(d) 600
2.According to Huygen’s principle, what happens to the speed of light as it passes from air into glass?
(a) Increases
(b) Decreases
(c) Remains the same
(d) Oscilltes 
3.What will be the wavelength of light inside the glass if the wavelength of light in air is 600nm?
(a) 400 nm
(b) 600 nm
(c) 900 nm
(d) 300 nm
4.How does Huygen’s principle explain the law of reflection
(a) Secondary wavelets converge towards the normal
(b) The angle of incidence is equal to the angle of reflection
(c) The speed of light changes during reflection
(d) The refracted wave front forms at an angle less then the angle of incidence
(or)
If the refractive index of glass was increased to 2, what would happen to the angle of refraction for the same angle of incidence (300 )
(a) The angle of refraction increases
(b) The angle of refraction decreases
(c) The angle of refraction remains the same
(d) Total internal reflection occurs

The emf induced across the ends of a conductor due to its motion in a magnetic field is called motional emf. It is produced due to the magnetic Lorentz force acting on the free electrons of the conductor. For a circuit shown in figure, if a conductor of length I moves with velocity v in a magnetic field B perpendicular to both its length and the direction of the magnetic field, then all the induced parametres are possible in the circuit

1.Direction of current induced in a wire moving in a magnetic field is found using
a) Fleming left hand rule
b) Fleming right hand rule
c) Amperes law
d) Right hand thumb rule 
2.The magnitude of induce emf when the conductor of length l is moved with velocity v does not depends on- on
a) magnetic field
b) velocity
c) resistance
d) length of conductor
3.The current in the primary coil of pair of coils changes from 7 A to 3 A in 0.04s. The mutual inductance between the two coils is 0.5 H. the induced emf in the secondary coil is
a) 50 V
b) 75 V
c) 100 V
c) 220 V

A heavy nucleus breaks into comparatively lighter nuclei which are more stable compared to the original heavy nucleus. When a heavy nucleus like uranium is bombarded by slow moving neutrons, it splits into two parts releasing large amount of energy. The typical fission reaction of \({ }_{92} \mathrm{U}^{235}\).
\({ }_{92} \mathrm{U}^{235}+{ }_{0} n^{1} \rightarrow{ }_{56} \mathrm{Ba}^{141}+{ }_{36} \mathrm{Kr}^{92}+3{ }_{0} n^{1}+200 \mathrm{MeV}\)
The fission of ₉₂U²³⁵approximately released 200 MeV of energy.
(i) If 200 MeV energy is released in the fission of a single nucleus of \({ }_{92}^{235} \mathrm{U}\),the fissions which are required to produce a power of 1kW is

(a) 3.125 x 1013

(b) 1.52 x 106

(c) 3.125 x 1012

(d) 3.125 x 1014

(ii) The release in energy in nuclear fission is consistent with the fact that uranium has

(a) more mass per nucleon than either ofthe two fragments

(b) more mass per nucleon as the two fragment

(c) exactly the same mass per nucleon as the two fragments

(d) less mass per nucleon than either of two fragments.

(iii) When ₉₂U²³⁵undergoes fission, about 0.1% of the original mass is converted into energy. The energy released when 1 kg of ₉₂U²³⁵undergoes fission is

(a) 9 x 1011J

(b) 9 x 1013J

(c) 9 x 1015J

(d) 9 x 1018J

(iv) A nuclear fission is said to be critical when multiplication factor or K

(a) K= 1

(b) K> 1

(c) K< 1

(d) K=0

(v) Einstein's mass-energy conversion relation E = mc² is illustrated by

(a) nuclear fission

(b) \(\beta\)-decay

(c) rocket propulsion

(d) steam engine

Moving coil galvanometer operates on Permanent Magnet Moving Coil (PMMC) mechanism and was designed by the scientist D'arsonval.
Moving coil galvanometers are of two types
(i) Suspended coil
(ii) Pivoted coil type or tangent galvanometer.
Its working is based on the fact that when a current carrying coil is placed in a magnetic field, it experiences a torque. This torque tends to rotate the coil about its axis of suspension in such a way that the magnetic flux passing through the coil is maximum.

(i) A moving coil galvanometer is an instrument which

(a) is used to measure emf

(b) is used to measure potential difference

(c) is used to measure resistance

(d) is a deflection instrument which gives a deflection when a current flows through its coil

(ii) To make the field radial in a moving coil galvanometer

(a) number of turns of coil is kept small	(b) magnet is taken in the form of horse-shoe
(c) poles are of very strong magnets	(d) poles are cylindrically cut

(iii) The deflection in a moving coil galvanometer is

(a) directly proportional to torsional constant of spring

(b) directly proportional to the number of turns in the coil

(c) inversely proportional to the area of the coil

(d) inversely proportional to the current in the coil

(iv) In a moving coil galvanometer, having a coil of N-turns of area A and carrying current I is placed in a radial field of strength B.
The torque acting on the coil is

\(\text { (a) } N A^{2} B^{2} I\)

\(\text { (b) } N A B I^{2}\)

\(\text { (c) } N^{2} A B I\)

(d) NABI

(v) To increase the current sensitivity of a moving coil galvanometer, we should decrease

(a) strength of magnet	(b) torsional constant of spring
(c) number ofturns in coil	(d) area of coil

Assertion (A): The ground state of an atom is the state of lowest energy, with all electrons in their lowest possible energy levels.
Reason (R): In the ground state, electrons occupy the lowest energy orbitals available.
Codes:
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false and R is also false.

Assertion : _ZX^A undergoes 2α, 2β- particles and 2γ-rays, the daughter product is _Z-2Y^{A – 8}.
Reason : In α- decay the mass number decreases by 4 and atomic number decreases by 2. In β-decay the mass number remains unchanged, but atomic number increases by 1.
Codes:
(a) If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
(b) If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
(c) If the Assertion is correct but Reason is incorrect.
(d) If both the Assertion and Reason are incorrect.

Assertion : Two sources of equal intensity always emit equal number of photons in any time interval.
Reason : Two sources of equal intensity may emit equal number of photons in any time interval.
Codes:
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false and R is also false.

Assertion (A): The critical angle is the minimum angle of incidence at which total internal reflection occurs.
Reason (R): Total internal reflection occurs when light travels from a denser medium to a rarer medium at an angle greater than the critical angle.
Codes:
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false and R is also false

Assertion : An electron and a proton moving with same velocity enters a magnetic field. The force experienced by the proton is more than the force experienced by the electron.
Reason: The mass of proton is more than the mass of the electron.
Codes:
A) Both A and R are true and R is the correct explanation of A
B) Both A and R are true but R is NOT the correct explanation of A
C) A is true but R is false
D) A is false and R is true

Assertion : The electric lines of forces diverges from a positive charge and converge at a negative charge.
Reason : A charged particle free to move in an electric field always move along an electric line of force.
Codes:
(a) Both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
(b) Both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
(c) Assertion is correct, Reason is incorrect
(d) Both Assertion and Reason are correct.

Assertion : Two adjacent conductors of unequal dimensions, carrying the same positive charge have a
potential difference between them.
Reason : The potential of a conductor depends upon the charge given to it.
Codes:
(a) If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
(b) If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
(c) If the Assertion is correct but Reason is incorrect.
(d) If both the Assertion and Reason are incorrect.

Assertion : An electric bulb becomes dim, when the electric heater in parallel circuit is switched on.
Reason : Dimness decreases after sometime.
Codes:
(a) If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
(b) If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
(c) If the Assertion is correct but Reason is incorrect.
(d) If both the Assertion and Reason are incorrect.

Assertion (A) : In the field of geometrical optics, light can in assumed to approximately travel in straight line.
Reason (R) : The wavelength of visible light is very small in comparison to the dimensions of typical mirrors and lenses, then light can be assumed to approximately travel in straight line.
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.

Assertion (A) : If X_C > X_L, φ is positive and the circuit is predominantly capacitive. The current in the circuit leads the source voltage.
Reason (R) : If X_C < X_L, φ is negative and the circuit is predominantly inductive, the current in the circuit lags the source voltage.
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
(c) Assertion is true but Reason is false.
(d) Assertion is false but Reason is true.

Assertion (A) : Inductance coil are made of copper.
Reason (R) : Induced current is more in wire having less resistance.
(a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
(c) Assertion is true but Reason is false.
(d) Assertion is false but Reason is true.

Assertion (A) : When a charged particle moves in a circular path. It produces electromagnetic wave.
Reason (R) : Charged particle has acceleration.
Codes:
(a) Both A and R are true and R is the correct explanation of A
(b) Both A and R are true but R is NOT the correct explanation of A
(c) A is true but R is false
(d) A is false and R is also false

Assertion (A) : V - I characteristic of p-n diode is same as that of any other conductor.
Reason (R) : p-n diode behave as conductor at room temperature.
Codes:
(a) Both A and R are true and R is the correct explanation of A
(b) Both A and R are true but R is NOT the correct explanation of A
(c) A is true but R is false
(d) A is false and R is also false

Assertion (A) : Magnetic moment is measured in joule/tesla or amp m².
Reason (R) : Joule/tesla is equivalent to amp m².
(a) Both A and R are true and R is the correct explanation of A
(b) Both A and R are true but Ris NOT the correct explanation of A
(c) A is true but R is false
(d) A is false and R is also false