Q. A plano convex lens is made of material having refractive index $1.5$. The radius of curvature of curved surface is $60$cm. The focal length of the lens is ___________cm.

1. $-60$
2. $120$
3. $60$
4. $-120$

Q. If the energy of photons corresponding to wavelength of $6000\stackrel{o}{A}$ is $3.2\times {10}^{-19}$J. The photon energy for wavelength of $4000\stackrel{o}{A}$ will be ___________.

1. $4.44\times {10}^{-19}$J
2. $1.11\times {10}^{-19}$J
3. $2.22\times {10}^{-19}$J
4. $4.80\times {10}^{-19}$J

Q. Two inductors each of inductance L are connected in parallel. One more inductor of value $5$ mH is connected in series of this configuration then the effective inductance is $15$ mH. The value of L is ___________ mH.

1. $10$
2. $5.0$
3. $2.5$
4. $20$

Q. On decreasing the wavelength of incident light from $8000\stackrel{o}{A}$ to $4000\stackrel{o}{A}$. The intensity of the scattered light in Rayleigh scattering will become ___________ times the initial scattered intensity.

1. $16$
2. $2$
3. $4$
4. $8$

Q. Frequencies of various radiations are given as
$f_v\to$ Visible light
$f_r\to$ Radio waves
$f_{UV}\to$ Ultra Violet waves
Then which of following is true?

1. $f_{UV}<f_r<f_v$
2. $f_v<f_r<f_{UV}$
3. $f_r<f_v<f_{UV}$
4. $f_{UV}<f_v<f_r$

Q. If the uncertainly in the position of an electron is ${10}^{-10}m$, then the value of uncertainty in its momentum will be __________ $kgm{s}^{-1}$. $(h=6.62\times {10}^{-34}J-s)$.

1. $1.05\times {10}^{-24}$
2. $1.03\times {10}^{-24}$
3. $1.06\times {10}^{-24}$
4. $1.08\times {10}^{-24}$

Q. If the half-life of a radioactive element is $10$hr, it average life $=$ __________hr.

1. $0.693$
2. $14.4$
3. $6.93$
4. $1.44$

Q. The value of $\beta$ of a transistor is $19$. The value of $\alpha$ will be ___________.

1. $0.93$
2. $0.98$
3. $0.99$
4. $0.95$

Q. Wavelength of characteristic X-ray depends on which property of target?

1. A
2. Z
3. Melting point
4. All of these

Q. A lamp consumers only $50\%$ of maximum power in an A.C. circuit. What is the phase difference between the applied voltage and the circuit current?

1. $\frac{\pi }{6}$
2. $\frac{\pi }{3}$
3. $\frac{\pi }{2}$
4. $\frac{\pi }{4}$

Q. A ray of light travelling in impure water is incident on a glass plate immersed in it. When the angle of incidence is ${51}^o$, the reflected ray is totally plane polarized. Given that refractive index of impure water if $1.4$. The refractive index of glass should be __________.$(\tan {51}^o=1.235)$.

1. $1.53$
2. $1.73$
3. $1.64$
4. $1.34$

Q. Which of following gates produces output of $1$?

1. 
   
2. 
   
3. 
   
4. 
   

Q. A small angled prism of refractive index $1.6$ gives a deviation of ${3.6}^o$. The angle of prism is _________.

1. $6^o$
2. $5^o$
3. $7^o$
4. $8^o$

Q. A capacitor 'C' is connected across a D.C. source, the reactance of capacitor will be _________.

1. ZERO
2. HIGH
3. LOW
4. INFINITE

Q. When carrier wave of $2.5$ MHz frequency is amplitude modulated, the resulting AM waves has maximum amplitude of $15$V and minimum amplitude of $10$V. The modulation index is ___________.

1. $20\%$
2. $30\%$
3. $10\%$
4. $40\%$

Q. Two parallel very long straight wires carrying current of $5$A each are kept at a separation of $1$m. If the currents are in the same direction, the force per unit length between them is __________ N/m. $({\mu }_o=4\pi \times {10}^{-7}SI)$.

1. $5\times {10}^{-5}$, attractive
2. $5\times {10}^{-5}$, repulsive
3. $5\times {10}^{-6}$, attractive
4. $5\times {10}^{-6}$, repulsive

Q. Match Column I and Column II.

Column I	Column II
(i) Interference	(P) Coherent sources
(ii) Brewster's Law	(Q) $\mu =\frac{1}{\sin C}$
(iii) Malus Law	(R) $\mu =\tan {\theta }_p$
(iv) Total Internal reflection	(S) $I=I_0{\cos }^2\theta$

1. i $\to$P, ii$\to$ S, iii$\to$ R, iv$\to$ Q
2. i$\to$ P, ii$\to$R, iii$\to$S, iv$\to$ Q
3. i$\to$Q, ii$\to$S, iii$\to$R, iv$\to$ P
4. ii$\to$ R, ii$\to$ R, iii$\to$S, iv$\to$ P

Q. __________ is the wavelength of photon of energy $35$KeV.
$h=6.625\times {10}^{-34}$J-s, $c=3\times {10}^8$m/s, $1$eV$=1.6\times {10}^{-19}$J.

1. $35\times {10}^{-12}$m
2. $3.5$nm
3. $35\stackrel{o}{A}$
4. $3.5\stackrel{o}{A}$

Q. A sinusoidal A.C. current flows through a resistor of resistance $10\Omega$. If the peak current is $2$ A flowing through the resistor then the power dissipated in __________W.

1. $10$
2. $40$
3. $20$
4. $30$

Q. The band gaps of an insulator, conductor and semi conductor are respectively $E_{g1}$, $E_{g2}$ and $E_{g3}$. The relationship between them is given as ____________.

1. $E_{g1}>E_{g2}<E_{g3}$
2. $E_{g1}>E_{g2}>E_{g3}$
3. $E_{g1}<E_{g2}>E_{g3}$
4. $E_{g1}<E_{g2}<E_{g3}$

Q. Two thin lenses of focal length $f_1$ and $f_2$ are in contact and coaxial. The power of the combination is __________.

1. $\frac{1}{\sqrt{f_1{f}_2}}$
2. $\frac{f_1{f}_2}{f_1+f_2}$
3. $\frac{f_1+f_2}{2}$
4. $\frac{f_1+f_2}{f_1{f}_2}$

Q. A very long straight wire of radius r carries current I. Intensity of magnetic field B at a point, lying at a perpendicular distance 'a' from the axis is $\propto$ ___________.

1. $a^2$
2. $1_{/a^2}$
3. $1_{/a}$
4. a

Q. Which of the following is wrong for interference fringes?

1. All bright fringes are equally bright
2. Fringes are due to limited portion of wave front
3. Distance between two consecutive fringes is constant
4. Fringes are due to the use of coherent sources

Q. The energy of the fast neutrons emitted in a nuclear fission reactor is approximately __________.

1. $2$MeV
2. $10$MeV
3. $20$MeV
4. $2$KeV

Q. In CE transistor amplifier, the collector junction has _________ bias and emitter junction has __________ bias.

1. Forward, forward
2. Reverse, forward
3. Reverse, reverse
4. Forward, reverse

Q. In radioactive reaction ${}_Z^{A}X{\to }_{Z+1}^A{X}_1{\to }_{Z+2}^A{X}_2{\to }_Z^{A-4}{X}_3{\to }_{Z+1}^{A-4}{X}_4$. Successive emission of particles is?

1. ${\beta }^{-},{\beta }^{-},{\beta }^{-},\alpha$
2. ${\beta }^{-},{\beta }^{-},{\beta }^{+},\alpha$
3. ${\beta }^{-},{\beta }^{-},\alpha ,\alpha$
4. ${\beta }^{-},{\beta }^{-},\alpha ,{\beta }^{-}$

Q. A coil having $200$ turns has a surface area of $0.15m^2$. A magnetic field of strength $0.2$T applied perpendicular to this changes to $0.6$T in $0.4$s, then the induced emf in the coil is ________V.

1. $45$
2. $30$
3. $15$
4. $60$

Q. The dimensional formula of ${\mu }_0{\in }_0$ is ________.

1. $M^0{L}^{-2}{T}^2$
2. $M^0{L}^2{T}^{-2}$
3. $M^0{L}^1{T}^{-1}$
4. $M^0{L}^{-1}{T}^1$

Q. The relation between $B_v,B_h$ and B is _________.

1. $B=\sqrt{B_h^2+B_v^2}$
2. $B=B_h\cdot B_v$
3. $B=\frac{B_v}{B_h}$
4. $B=\frac{B_h}{B_v}$

Q. A substance is placed in a non uniform magnetic field. It experiences weak force towards the strong field. The substance is _________ type.

1. Ferromagnetic
2. Paramagnetic
3. None of these
4. Diamagnetic