## Class/Course - Engineering Entrance

### Subject - Physics

#### Total Number of Question/s - 3094

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• 1. Measurements - Quiz

1. Identify the pair whose dimensions are equal.
a) Torque and work
b) Stress and energy
c) Force and stress
d) Force and work

2. Dimensions of $\frac{1}{\mu_{0} \epsilon_{0}}$, where symbols have their usual meaning, are
a) [L-1T]
b) [L2T2]
c) [L2T-2]
d) [LT-1]

• 2. Kinematics - Quiz

1. The relation between time t and distance x is t = ax2 + bx, where a and b are constants. The acceleration is
a) -2 abv2
b) 2 bv3
c) - 2av3
d) 2 av2

2. An object, moving with a speed of 6.25 m/s, is decelerated at a rate given by $\frac{dv}{dt}$ = $-2.5\sqrt{v}$ where v is the instantaneous speed. The time taken by the object, to come to rest, would be
a) 2 s
b) 4 s
c) 8 s
d) 1 s

• 3. Laws of Motion - Quiz

1. Three identical blocks of masses m = 2 kg are drawn by a force F = 10.2 N with an acceleration 0f 0.6 ms-2 on a frictionless surface, then what is the tension (in N) in the string between the blocks B and C?

a) 9.2
b) 7.8
c) 4
d) 9.8

2. Three forces start acting simultaneously on a particle moving with velocity $\vec{v}$. These forces are represented in magnitude and direction by the three sides of a triangle ABC (as shown). The particle will now move with velocity

a) Less than $\vec{v}$
b) Greater than $\vec{v}$
c) |v| in the direction of largest force BC
d) $\vec{v}$m, remaining unchanged

• 4. Work, Energy and Power - Quiz

1. A block of mass 0.50 kg is moving with a speed of 2.00 ms-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is
a) 0.16 J
b) 1.00 J
c) 0.67 J
d) 0.34 J

2. A body of mass m is accelerated uniformly from rest to a speed v in a time T. The instantaneous power delivered to the body as a function of time, is given by
a) $\frac{mv^{2}}{T^{2}}t$
b) $\frac{mv^{2}}{T^{2}}t^{2}$
c) $\frac{1}{2}\frac{mv^{2}}{T^{2}}t$
d) $\frac{1}{2}\frac{mv^{2}}{T^{2}}t^{2}$

• 5. Rotational Motion - Quiz

1. A round uniform body of radius R, mass M and moment of interia I, rolls down ( without slipping) an inclined plane making an angle θ with the horizontal. Then its acceleration is
a) $\frac{g sin\theta}{1 + I/MR^{2}}$
b) $\frac{g sin\theta}{1 + MR^{2}/I}$
c) $\frac{R sin\theta}{1 - I/MR^{2}}$
d) $\frac{g sin\theta}{1 - MR^{2}/I}$

2. A circular disc X of radius R is made from an iron plate of thickness t, and another disc Y of radius 4R is made from an iron plate of thickness t/4. Then the relation between the moment of interia Ix and IY is
a) IY = 32 Ix
b) IY = 16 IX
c) IY = IX
d) IY = 64 IX

• 6. Gravitation - Quiz

1. A satellite of mass m revolves around the earth of radius R at a height x from its surface. If g is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is
a) gx
b) $\frac{gR}{R - x}$
c) $\frac{gR^{2}}{R + x}$
d) $\left (\frac{gR^{2}}{R + x} \right )^{1/2}$

2. A planet in a distant solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the earth is 11 kms-1, the escape velocity from the surface of the planet would be
a) 1.1 km s-1
b) 11 km s-1
c) 110 km s-1
d) 0.11 km s-1

• 7. Properties of Solids and Liquids - Quiz

1. Spherical balls of radius R are falling in a viscous fluid of viscosity η with a velocity v. The retarding viscous force acting on the spherical ball is
a) Directly proportional to R but inversely proportional to v
b) Directly proportional to both radius R and velocity v
c) Inversely proportional to both radius R and velocity v
d) Inversely proportional to R but directly proportional to velocity v

2. Infrared radiations are detected by
a) Spectrometer
b) Pyrometer
c) Nanometer
d) Photometer

• 8. Thermodynamics - Quiz

1. A Carnot engine takes 3 x 106 cal of heat from a reservior at 6270 C and gives it to a sink at 270C. The work done by the engine is
a) 4.2 x 106 J
b) 8.4 x 106 J
c) 16.8 x 10 6 J
d) Zero

2. The temperature-entropy diagram of a reversible engine is given in the figure. Its efficiency is

a) $\frac{1}{10}$
b) $\frac{1}{4}$
c) $\frac{1}{3}$
d) $\frac{2}{3}$

• 9. Kinetic Theory of Gases - Quiz

1. 1 mole of a gas with γ = $\frac{7}{5}$ is mixed with 1 mole of a gas with γ = $\frac{5}{3}$, then the value of γ for the resulting mixture is
a) $\frac{7}{5}$
b) $\frac{2}{5}$
c) $\frac{24}{16}$
d) $\frac{12}{7}$

2. A gaseous mixture consists of 16g of helium and 16g of oxygen . The ratio $\frac{C_{p}}{C_{V}}$ of the mixture
a) 1.59
b) 1.62
c) 1.4
d) 1.54

• 10. Oscillations and Waves - Quiz

1. Statement I Two longitudinal waves given by equations -y1 (x,t) = 2a sin(ω - kx) and y2(x,t) = asin(2ωt - 2kx) will have equal intensity.
Statement II Intensity of waves of given frequency in same medium is proportional to square of amplitude only.
a) Statement I is false, Statement II is true
b) Statement I is true, Statement II is false
c) Statement I is true, Statement II true; Statement II is the correct explanation of Statement I
d) Statement I is true, Statement II is true; Statement II is not correct explanation of Statement I

2. If a spring of stiffness k is cut into parts A and B of length lA : lB = 2:3 , then the stifness of spring A is given by
a) $\frac{5}{2}k$
b) $\frac{3k}{5}$
c) $\frac{2k}{5}$
d) k

• 11. Electrostatics - Quiz

1. A fullly charges capacitor has a capacitance C. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity s and mass m. If the temperature of the block is raised by ΔT, the temperature difference V across the capacitance is
a) $\sqrt{\frac{2mC\Delta T}{s}}$
b) $\frac{mC\Delta T}{s}$
c) $\frac{Ms \Delta T}{C}$
d) $\sqrt{\frac{2ms\Delta T}{C}}$

2. On moving a charge of 20 C by 2 cm, 2J of work is done, then the potential difference between the points is
a) 0.1 V
b) 8V
c) 2V
d) 0.5V

• 12. Current Electricity - Quiz

1. Shown in the figure adjacent is a meter-bridge set up with null deflection in the galvanometer. The value of the unknown resistor R is

a) 13.75Ω
b) 220Ω
c) 110Ω
d) 55Ω

2. If in the circuit, power dissipation is 150W, then R is

a) 2Ω
b) 6Ω
c) 5Ω
d) 4Ω

• 13. Magnetic Effects of Current and Magnetism - Quiz

1. Two identical conducting wires AOB and COD are placed at right angle to each other. The wire AOB carries an electric current I1 and COD carries a current I2. The magnetic field on a point lying at a distance d from O, in a direction perpendicular to the plane of the wires AOB and COD, will be given by
a) $\frac{\mu_{0}}{2\pi}\left (\frac{I_{1} + T_{2}}{d} \right )^{1/2}$
b) $\frac{\mu_{0}}{2\pi d}\left (I_{1}^{2} + I_{2}^{2} \right )^{1/2}$
c) $\frac{\mu_{0}}{2\pi d}\left (I_{1} + I_{2} \right )$
d) $\frac{\mu_{0}}{2\pi d}\left (I_{1}^{2} + I_{2}^{2} \right )$

2. The magnitude of the magnetic field (B) due to loop ABCD at the origin (O) is
a) zero
b) $\frac{\mu_{0}\left (b - a \right )}{24ab}$
c) $\frac{\mu_{0}I}{4\pi} \left [\frac{b - a}{ab} \right ]$
d) $\frac{\mu_{0}I}{4\pi}\left [2\left (b - a \right ) + \frac{\pi}{3}\left (a + b \right ) \right ]$

• 14. Electromagnetic Induction and Alternating Current - Quiz

1. In an AC generator, a coil with N turns, all of all same area A and total total resistance R, rotates with frequency ω in a magnetic field B. The maximum value of emf generated in the coil is
a) N A B R ω
b) N A B
c) N A B R
d) N A B ω

2. A circuit has a resistance of 12Ω and an impedance of 15Ω. The power factor of the circuit will be
a) 0.8
b) 0.4
c) 1.25
d) 0.125

• 15. Electromagnetic Waves - Quiz

1. The rms value of the electric field of the light coming from the sum is 720 NC-1. The average total energy density of the electromagnetic wave is
a) 4.58 x 10-6 Jm-3
b) 6.37 x 10-19 Jm-3
c) 81.35 x 10-12 Jm-3
d) 3.3 x 10-3 Jm-3

2. Which of the following radiations has the least wavelength?
a) γ-rays
b) β-rays
c) α-rays
d) X-rays

• 16. Optics - Quiz

1. If I0 is the intensity of the principal maximum in the single slite diffraction pattern, then what will be its intensity when the slite width is double ?
a) 2I0
b) 4I0
c) I0
d) $\frac{I_{0}}{2}$

2. A car is fitted with a convex side-view mirror of focal length 20 cm. A second car 2.8 m behind the first car is overtaking the first car at a relative speed of 15m/s. The speed of the image of the second car as seen in the mirror of the first one is
a) $\frac{1}{15}$m/s
b) 10 m/s
c) 15 m/s
d) $\frac{1}{10}$m/s

• 17. Dual Nature of Matter and Radiation - Quiz

1. Photon of frequency v has a momentum associated with it. If c is the velocity of light , the momentum is
a) $\frac{v}{c}$
b) hvc
c) $\frac{hv}{c^{2}}$
d) $\frac{hv}{c}$

2. A photocell is illuminated by a small bright source placed 1 m away . When the same source of light is placed $\frac{1}{2}$ away, the number of electrons emitted by photocathode would
a) decrease by a factor of 4
b) increase by a factor of 4
c) decrease by a factor of 2
d) increase by a factor of 2

• 18. Atoms and Nuclei - Quiz

1. For a transistor amplifier in common emitter configuration for load impedence of 1 kΩ
(hfe = 50 and hoe = 25μA/V, the current gain is
a) -5.2
b) -15.7
c) -24.8
d) -48.78

2. If the binding energy of the electron in a hydrogen atom is 13.6 eV, the energy required to remove the electron from the first excited state of Li2+ is
a) 30.6 eV
b) 13.6 eV
c) 3.4 eV
d) 122.4 eV

• 19. Electronic Devices - Quiz

1. The energy band gap is maximum in
a) metals
b) superconductors
c) insulators
d) semiconductors

2. A piece of copper and another of germanium are cooled from room temperature to 77K, the resistance of
a) each of them increases
b) each of them decreases
c) copper decreases and germanium increases
d) copper increases and germanium decreases

• 20. Communication Systems - Quiz

1. Which of the following four alternatives is not correct?
a) to increase the sensitivity
b) to reduce the time lag between transmission and reception of the information signal
c) to reduce the size of antenna
d) to reduce the fractional band width, that is the ratio of the signal band width to the centre frequency

2. Consider telecommunication through optical fibres. Which of the following statements is not true?
a) Optical fibres can be graded refractive index
b) Optical fibres are subjected to electromagnetic interference from outside
c) Optical fibres have extremely low transmission loss
d) Optical fibres may have homogeneous core with a suitable cladding