1. Which of the following will have the dimensions of time?
a) LC
b) $\frac{R}{L}$
c) $\frac{L}{R}$
d) $\frac{C}{L}$

---

2. The value of Plancks constant is
a) 6.63 x 10^-31 J-s
b) 6.63 x 10^-30 Kg-m/s
c) 6.63 x 10^-32 Kg-m2
d) 6.63 x 10^-34  J-s

---

1. A car moves from X to Y with a uniform speed v_u and returns to Y with a uniform speed v_d. The average speed for this round trip is
a) $\frac{2v_{d}v_{u}}{v_{d} + v_{u}}$
b) $\sqrt{v_{u}v_{d}}$
c) $\frac{v_{d}v_{u}}{v_{d} + v_{u}}$
d) $\frac{v_{u} + v_{d}}{2}$

---

2. A stone is thrown vertically upwards, When stone is at a height half on its maximum height, its speed is 10m/s, then the maximum height attained by the stone is (g = 10 m/s²)
a) 8m
b) 10m
c) 15m
d) 20m

---

1. The angle between the two vectors $\overrightarrow{A} = 3\hat{i} + 4\hat{j} + 5\hat{k} \ and \ \overrightarrow{B} = 3\hat{i} + 4\hat{j} - 5\hat{k}$ will be
a) 0⁰
b) 45⁰
c) 90⁰
d) 180⁰

---

2. The resultant of $\overrightarrow{A}$ × 0 will equal to
a) zero
b) A
c) zero vactor
d) unit vector

---

1. A particle of mass 1kg is thrown vertically upwards with speed 100 m/s. After 5 s it explodes into two parts. One part of mass 400 g comes back with speed 25m/s, what is the speed of other part just after explosion?
a) 100 m/s upwards
b) 600 m/s upwards
c) 100 m/s downwards
d) 300 m/s upwards

---

2. A shell is fired from a cannon, it explodes in mid air, its total
a) momentum increases
b) momentum decreases
c) KE increases
d) KE decreases

---

1. Two identical balls A and B moving with velocities +0.5m/s and -0.3 m/s respectively collide head on elastically. The velocity of the balls A and B after collision will be respectively
a) +0.5 m/s amd +0.3 m/s
b) -0.3 m/s and +0.5 m/s
c) +0.3 m/s and 0.5 m/s
d) -0.5 m/s and +0.3 m/s

---

2. An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are, 1kg first part moving with a velocity of 12ms^-1 and 2kg second part moving with a velocity of 8ms^-1. If the third part flies off with a veloicty of 4ms^-1 , its mass would be
a) 5kg
b) 7 kg
c) 17 kg
d) 3 kg

---

1. Consider a system of two particle having masses m₁ and m₂. If the particle of mass m₁ is pushed towards the mass centre of particles through a distance d, by what distance would the particle of mass m₂ move so as to keep the mass centre of particles at the original position?
a) $\frac{m_{1}}{m_{1} + m_{2}}d$
b) $\frac{m_{1}}{m_{2}}d$
c) d
d) $\frac{m_{2}}{m_{1}}d$

---

2. Three particles , each of mass m grams situated at the vertices of an equilateral triangle ABC of side l cm ( as shown in figure). The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC in g-cm² units will be

a) $\left (\frac{3}{4}  \right )ml^{2}$
b) 2 ml²
c) $\left (\frac{5}{4}  \right )ml^{2}$
d) $\left (\frac{3}{2}  \right )ml^{2}$

---

1. What will be the formula of the mass in terms of g,R and G ? (R = radius of earth)
a) $g^{2} \frac{R}{G}$
b) $G\frac{R^{2}}{g}$
c) $G\frac{R}{g}$
d) $g\frac{R^{2}}{G}$

---

2. The distance of two planets from the sun are 10¹³ and 10¹² m respectively. The ratio of time periods of these are two planets is
a) $\frac{1}{\sqrt{10}}$
b) 100
c) $10 \sqrt{10}$
d) $\sqrt{10}$

---

1. We consider the radiative emitted by the human body. Which of the following statements is true?
a) The radiation is emitted during the summers and absorbed during the winters.
b) The radiations emitted lies in the ultraviolet region and hence is not visible.
c) The radiation emitted is in the infrared region.
d) The radiation is emitted only during the day.

---

2. Thermal capacity of 40g of aluminium (s = 0.2 cal/g-K) is
a) 168 J/⁰C
b) 672 J/⁰C
c) 840 J/⁰C
d) 336 J/⁰C

---

1. Two simple pendulums of length 0.5m and 2.0 m respectively are given small linear displacement in one direction at the same time. They will again be in the same phase when the pendulum of shorter length has completed oscillations
a) 5
b) 1
c) 2
d) 3

---

2. A mass m is suspended from the two coupled spring are connected in series. The force constant for springs are k₁ and k₂. The time period of the suspend mass will be
a) T = $2\pi \sqrt{\frac{m}{k_{1} - k_{2}}}$
b) T = $2\pi\sqrt{\frac{mk_{1}k_{2}}{k_{1} + k_{2}}}$
c) T = $2\pi \sqrt{\frac{m}{k_{1} + k_{2}}}$
d) T = $\sqrt{\frac{m\left ( k_{1} + k_{2} \right )}{k_{1}k_{2}}}$

---

1. For production of beats the two sources must have
a) different frequencies and same amplitude
b) different frequencies
c) different frequencies , same amplitude and same phase
d) different frequencies and same phase

---

2. A standing wave having 3 nodes and 2 antinodes is formed between them. The wavelength of the standing wave is
a) 1.21 Å
b) 1.42 Å
c) 6.05Å
d) 3.63 Å

---

1. A 4μF conductor is charged to 400V and then its plate are joined through a resistance of 1kΩ . The heat produced in the resistance is
a) 0.16J
b) 1.28J
c) 0.64J
d) 0.32J

---

2. Identical charges (-q) are placed at each corners of a cube of side b, then the electrostatic potential energy of charge (+q) placed at the centre of the cube will be
a) $-\frac{4\sqrt{2}q^{2}}{\pi\varepsilon _{0}}$
b) $\frac{8\sqrt{2}q^{2}}{\pi\varepsilon _{0}b}$
c) $-\frac{4q^{2}}{\sqrt{3}\pi\varepsilon _{0}b}$
d) $\frac{8\sqrt{2}q^{2}}{4\pi\varepsilon _{0}b}$

---

1. Potentiometer measures the potential difference more accurately than a voltmeter because
a) it has a wire of high resistance
b) it has a wire of low resistance
c) it does not draw current from external circuit
d) it draws a heavy current from external circuit

---

2. The electric resistance of a certain wire of iron is R. If its length and radius are both doubled, then
a) the resistance will be doubled and the specific resistance will be halved
b) the resistance will be halved and the specific resistance will remain unchanged
c) the resistance will be halved and the specific resistance will bedoubled
d) the resistance and the specific resistance, will both remained unchanged

---

1. In electrolysis the mass deposited on an electrode is directly proportional to
a) current
b) square of current
c) concentration of solution
d) inverse of current

---

2. An electric kettle takes 4 A current at 220V . How much time will it take to boil 1 kg of water from temperature 20⁰C ? [The temperature of boiling water is 100⁰C]
a) 6.3 min
b) 8.4 min
c) 12.6 min
d) 4.2 min

---

1. A 10eV electron is circulating in a plane at right angles to a uniform field of magnetic induction 10^-4Wb/m² (-1.0 gauss). The orbital radius of the electron is
a) 12 cm
b) 16 cm
c) 11 cm
d) 18 cm

---

2. A straight wire of diameter 0.5 mm carrying a current of 1A is replaced by another wire of 1mm diameter carrying same current. The strength of magnetic field far away is
a) twice the earlier value
b) same as the earlier value
c) one-half of the earlier value
d) one-quarter of the earlier value

---

1. Two bar magnets having same geometery with magnetic moments M and 2M, are firstly placed in such a way that their similar poles are on the same side, then its period of oscillation is t₁ . Now the polarity of one of the megnets is reversed the time period of oscillations becomes T₂ , Then
a) $T_{1} < T_{2}$
b) $T_{1} > T_{2}$
c) $T_{1} = T_{2}$
d) $T_{2} = \infty$

---

2. According to Curies law, the magnetic susceptibilty of a paramagnetic substance at an absolute temperature T is proportional to 
a) $\frac{1}{T^{2}}$
b) T²
c) $\frac{1}{T}$
d) T

---

1. Two coils have a mutual inductance of 0.005 H. The current changes in the first coil according to equation I - i₀ sin ωt, i₀ = 10 A and ω = 100 π rad/s. The maximum value of emf in the second coil is
a) 2π
b) 5π
c) π
d) 4π

---

2. In an inductor of self - inductance L=2 mH, current changes with time according to relation I = t²e^-t . At which time emf is zero?
a) 4s
b) 3s
c) 2s
d) 1s

---

1. The electric field part of an electromagnetic wave in a medium is represented by
E_X = 0,
E_y = $2.5\frac{N}{C}cos\left [\left (2\pi \times 10^{6 \frac{rad}{m}} \right )t  - \left (\pi \times 10^{-2} \frac{rad}{s} \right )x\right ]$
E_z = 0. The wave is
a) moving along y direction with frequency 2π × 10⁶ Hz and wavelength 200m.
b) moving along x direction with frequency 10⁶ Hz and wavelength 100m
c) moving along x direction with frequency 10⁶ Hz and wavelength 200 m
d) moving along -x direction with frequency 10⁶ Hz and wavelength 200 m

---

2. In a circuit , L, C and R are connected in series with an alternating voltage source of frequency f. The current leads the voltage by 45⁰ . The value of C is
a) $\frac{1}{2\pi f\left (2\pi fL + R \right )}$
b) $\frac{1}{\pi f\left (2\pi fL + R \right )}$
c) $\frac{1}{2\pi f\left (2\pi fL - R \right )}$
d) $\frac{1}{\pi f\left (2\pi fL + R \right )}$

---

1. If two mirrors are kept inclined at 60⁰ to each other and a body is placed at the middle, then total number of images formed , is
a) six
b) five
c) four
d) three

---

2. A lens is placed between a source of light and a wall. It forms images of area A₁ and A₂ on the wall, for its two different positions, the area of the source of light is
a) $\sqrt{A_{1}A_{2}}$
b) $\frac{A_{1} + A_{2}}{2}$
c) $\frac{A_{1} - A_{2}}{2}$
d) $\frac{1}{A_{1}} + \frac{1}{A_{2}}$

---

1. Monochromatic light of frequency 6.0 x 10¹⁴ Hz is produced by a laser. The power emitted is 2 x 10^-3 W. The number of photons emitted, on the average, by the source per second is
a) 5 x 10¹⁵
b) 5 x 10¹⁶
c) 5 x 10¹⁷
d) 5 x 10¹⁴

---

2. Kinetic energy of an electron which is accelerated in a potential difference of 100 V is
a) 1.6 × 10^-17 J
b) 1.6 × 10^-19 J
c) 1.6 × 10^-21 J
d) 1.6 × 10^-25 J

---

1. In terms of Bohr energy of hydrogen atom is 13.6 eV. Following Bohrs theory, the energy corresponding to a transition between 3rd and 4th orbit is
a) 4a₀
b) 8a₀
c) $\sqrt{2}a_{0}$
d) 2a₀

---

2. In the Bohrs model of a hyydrogen atom , the centripetal force is furnished by the coulomb attraction between the proton and the electron. If a₀ is the radius of the ground state orbit, m is the mass and e is the charge on the electron,  ε₀ is the vacuum permittivity , the speed of the electron is
a) zero
b) $\frac{e}{\sqrt{\varepsilon_{0}a_{0} m}}$
c) $\frac{e}{\sqrt{4\pi \varepsilon_{0}a_{o}m}}$
d) $\frac{\sqrt{4\pi \varepsilon_{0}a_{o}m}}{e}$

---

1. Half-life of a radioactive substance is 12.5h and it mass is 256 g. After what time, the amount of remaining substance is 1g?
a) 75h
b) 100h
c) 125h
d) 150h

---

2. The half-life of radium is 1600 yr. The fraction of a sample of radium that would remain after 6400 yr
a) $\frac{1}{4}$
b) $\frac{1}{2}$
c) $\frac{1}{8}$
d) $\frac{1}{16}$

---

1. In semiconductors at a room temperature
a) the valence band is partially empty and the condition band is partially filled
b) the valence band is completely filled and the conduction band is partially
c) the valence band is completely filled
d) the conduction band is completely empty

---

2. In p-type semiconductor, the majority charge carriers are
a) holes
b) electrons
c) protons
d) neutrons

---