Question Bank for Physics in Engineering Entrance standard : Just Exam

1. Measurements - Quiz

1. A body of mass m= 3.513 kg is moving along the x-axis with a speed of 5.00 ms^-1. The magnitude of its momentum is recorded as
a) 17.6 kg ms^-1
b) 17.565 kg ms^-1
c) 17.56 kg ms^-1
d) 17.57 kg ms^-1

2. The dimensions of magnetic field in M, L, T and C (coulomb) is given as
a) [MLT^-1C^-1]
b) [MT²C^-2]
c) [MT^-1C^-1]
d) [MT²C^-1]

2. Kinematics - Quiz

1. A particle is moving eastwards with a velocity of 5 ms^-1. In 10 s the velocity changes to 5 ms^-1 northwards. The average acceleration in this time is
a) $\frac{1}{\sqrt{2}}ms^{-2}$ towards north-east
b) $\frac{1}{2}ms^{-2}$ towards north
c) Zero
d) $\frac{1}{2}ms^{-2}$ towards north-west

2. A projectile can have the same range R for two angles of projection. If t₁ and t₂ be the times of flights in the two cases, then the product of the two times of flights is proportional to
a) R²
b) $\frac{1}{R^{2}}$
c) $\frac{1}{R}$
d) R

3. Laws of Motion - Quiz

1. A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. If a force P is applied at the free end of the rope, the force exerted by the rope on the block is
a) $\frac{Pm}{M+m}$
b) $\frac{Pm}{M-m}$
c) P
d) $\frac{PM}{M+m}$

2. When forces F₁, F₂ , F₃ are acting on a particle o mass m such that F₂ and F₃ are mutually perpendicular perpendicular, then the particle remains stationary. If the force F₁ is now removed, then the acceleration of the particle is
a) $\frac{F_{1}}{m}$
b) $\frac{F_{2}F_{3}}{mF_{1}}$
c) $\frac{(F_{2}-F_{3})}{m}$
d) $\frac{F_{2}}{m}$

4. Work, Energy and Power - Quiz

1. A spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It rools down a smooth surface to the ground, then climbs up another hill of height 30 m and finally rolls down to a horizontal base at a height of 20 m above the ground. The velocity attained by the ball is
a) 40 m/s
b) 20 m/s
c) 10 m/s
d) 10√30 m/s

2. A spring of force constant 800 N/m has an extension of 5 cm. The work done in extending it from 5 cm to 15 cm is
a) 16 J
b) 8 J
c) 32 J
d) 24 J

5. Rotational Motion - Quiz

1. Initial angular velocity of a circular disc of mass M is ω₁. Then two small spheres of mass m are attached gently to two diametrically opposite points on the edge of the disc. What is the final angular velocity of the disc?
a) $\left (\frac{M + \omega}{M} \right )\omega_{1}$
b) $\left (\frac{M + m}{m} \right )\omega_{1}$
c) $\left (\frac{M}{M + 4m} \right )\omega_{1}$
d) $\left (\frac{M}{M + 2m} \right )\omega_{1}$

2. A T shaped object with dimensions shown in the figure, is lying on a smooth floor. A force $\vec{F}$ is applied at the point P parallel to AB, such that the object has only the translational motion without rotation. Find the location of P with respect to C.

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

6. Gravitation - Quiz

1. The escape velocity of a body depends upon mass as
a) m⁰
b) m¹
c) m²
d) m³

2. Suppose the gravitational force varies inversely as the nth power of distance. Then the time period of a planet in circular orbit of radius R around the sun will be proportional to
a) $R^{\left (\frac{n + 1}{2} \right )}$
b) $R^{\left (\frac{n - 1}{2} \right )}$
c) Rⁿ
d) $R^{\left (\frac{n - 2}{2} \right )}$

7. Properties of Solids and Liquids - Quiz

1. One end of a thermally insulated rod is kept at a temperature T₁ and the other at T₂. The rod is composed of two sections of lengths l₁ and l₂ and thermal conductivities K₁ and K₂ respectively. The temperature at the interface of two section is

a) (K₂l₂T₁ + K₁l₁T₂) /(K₁l₁ + K₂l₂)
b) (K₂l₁T₁ + Kl₂T₂ ) / (K₂l₁ + K₁l₂)
c) (K₁l₂T₁ + K₂l₁T₂) / (K₁l₁ + K₂l₁)
d) (K₁l₁T₁ + K₂l₂T₂) / (K₁l₁ + K₂l₂)

2. Two mercury drops (each of radius r) merge to form a bigger drop. The surface energy of the bigger drop, If T is the surface tension, is
a) 2^5/3 πr²T
b) 4πr²T
c) 2πr²T
d) 2^8/3πr²T

8. Thermodynamics - Quiz

1. Assume the gas to be ideal the work done on the gas in taking it form A to B is
a) 200 R
b) 300 R
c) 400 R
d) 500 R

2. A thermally insulated vessel contains an ideal gas of molecular mass M and ration of specific heats ϒ. It is moving with speed v and its suddebly brought to rest. Assuming no heat is lost to the surroundings, its temperature increases by
a) $\frac{\left (\gamma - 1 \right )}{2\gamma R}Mv^{2}K$
b) $\frac{\gamma Mv^{2}}{2R}K$
c) $\frac{\left (\gamma - 1 \right )}{2 R}Mv^{2}K$
d) $\frac{\left (\gamma - 1 \right )}{2\left (\gamma + 1 \right )R} Mv^{2}K$

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. Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature T₀, while box B contains one mole of helium at temperature (7/3) T₀. The boxes are then put into thermal contact with each other, and heat flows between then until the gases reach a common final temperature (Ignore the heat capacity of boxes). Then, the final temperature of the gases, T_f, in terms of T₀ is
a) T_f = $\frac{3}{7}T_{0}$
b) $\frac{7}{3}T_{0}$
c) $\frac{3}{2}T_{0}$
d) $\frac{5}{2}T_{0}$

10. Oscillations and Waves - Quiz

1. The displacement of an object attached to a spring and executing simple harmonic motion is given by x = 2 x 10^-2 cosπt metre. The time at which the maximum speed first occurs is
a) 0.5 s
b) 0.75 s
c) 0.125 s
d) 0.25 s

2. A point mass oscillates along the x-axis according to the law x = x₀ cos(ωt - π/4). If the acceleration of the particle is written as a = A cos(ωt + δ), then
a) A = x₀ , δ = $-\frac{\pi}{4}$
b) A = x₀ω², δ = $\frac{\pi}{4}$
c) A = x₀ω² δ = -$\frac{\pi}{4}$
d) A = x₀ω², δ = $\frac{3\pi}{4}$

11. Electrostatics - Quiz

1. If there are n capacitors in parallel connected to V volt, then the energy stored is equal to
a) CV
b) $\frac{1}{2}nCV^{2}$
c) CV²
d) $\frac{1}{2n}CV^{2}$

2. Combination of two identical capacitors, a resistor R and a DC voltage source of voltage 6V is used in an experiment on C-R circuit. It is found that for a parallel combination of the capacitor the time in which the voltage of the fully charged combination reduces to half its original voltage is 10s. For series combination the time needed for reducing the voltage of the fully charged series combination by half is
a) 20 s
b) 10 s
c) 5 s
d) 2.5 s

12. Current Electricity - Quiz

1. If 400Ω of resistance is made by adding four Ω resistance of tolerance 5% , then the tolerance of the combination is
a) 20%
b) 5%
c) 10%
d) 15%

2. A wire when connected to 220V mains supply has power dissipation P₁. Now the wire is cut into two equal pieces which are connected in parallel to the same supply. Power disipation in this case is P₂. Then P₂ : P₁ is
a) 1
b) 4
c) 2
d) 3

13. Magnetic Effects of Current and Magnetism - Quiz

1. A charged particle moves through a magnetic field perpendicular to its direction. Then
a) the momentum changes but the kinetic energy is constant
b) both momentum and kinetic energy of the particle are not constant
c) both momentum and kinetic energy of the particle are constant
d) kinetic energy changes but the momentum is constant

2. A particle of mass M and charge Q moving with velocity $\vec{v}$ describe a circular path of radius R when subjected to a uniform transverse magnetic field of induction B. The work done by the field when the particle completes one full circle is
a) $\left (\frac{Mv^{2}}{R} \right )2\pi R$
b) zero
c) BQ 2πR
d) BQc2πR

14. Electromagnetic Induction and Alternating Current - Quiz

1. In an oscillating LC circuit the maximum charge on the capacitor is Q. The charge on the capacitor when the energy is stored equally between the electrcic and magnetic fields is
a) $\frac{Q}{2}$
b) $\frac{Q}{\sqrt{3}}$
c) $\frac{Q}{\sqrt{2}}$
d) Q

2. The flux linked with a coil at any instant t is given by
φ = 10t² - 50t + 250
The induced emf at t = 3s is
a) -190V
b) -10V
c) 10V
d) 190V

15. Electromagnetic Waves - Quiz

1. An electromagnetic wave of frequency v = 3.0 MHz passes from vacuum into a dielectric medium and permittivity ε = 4.0. Then
a) wavelength is doubled and the frequency remains unchanged
b) wavelength is doubled and frequency becomes half
c) wavelength is halved and frequency remains unchanged
d) wavelength and frequency both remain unchanged

2. 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

16. Optics - Quiz

1. At two points P and Q on screen in Youngs double slit experiment , waves from slits S₁ and S₂ have a path difference of 0 and $\frac{\lambda}{4}$ respectively. The ratio of intensities at P and Q will be
a) 3:2
b) 2:1
c) $\sqrt{2}$ : 1
d) 4:1

2. A mixture of light, consisting of wavelength 590 nm and an unknown wavelength, illuminates Young's double slit and gives rise to two overlapping interference patterns on the screen. The central maximum of both lights coincide . Further, is is observed that the third bright fridge of known light coincides with the 4^th bright of the unknown light. From this data, the wavelength of the unknown light is
a) 393.4 nm
b) 995.0 nm
c) 442.5 nm
d) 776.8 nm

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. Sodium and copper have work functions 2.3 eV and 4.5 eV respectively. Then the ratio of the wavelengths is nearest to
a) 1:2
b) 4:1
c) 2:1
d) 1:4

18. Atoms and Nuclei - Quiz

1. If N₀ is the original mass of the substance of half-life period t_1/2 = 5 yr. then the amount of substance left after 15 yr, is
a) $\frac{n_{0}}{8}$
b) $\frac{n_{0}}{16}$
c) $\frac{n_{0}}{2}$
d) $\frac{n_{0}}{4}$

2. The half-life period of a radioactive element x is same as the mean life time of enother radioactive element Y. Initially they have the same number of atoms. Then
a) X will decay faster than Y
b) Y will decay faster than X
c) Y and X have same decay rate initally
d) X and Y decay at same rate always

19. Electronic Devices - Quiz

1. The ouput of an OR gate is connected to both the inputs of a NAND gate. The combination will serve as a
a) OR gate
b) NOT gate
c) NOR gate
d) AND gate

2. In the following , which one of the diodes is reverse biased?
a)

b)

c)

d)

20. Communication Systems - Quiz

1. 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

2. The logic circuit shown below has the input waveforms A and B as shown. Pick out the correct output wavefrom.

a)

b)

c)

d)

Color

Physics [Engineering Entrance]

Class/Course - Engineering Entrance

Subject - Physics

Total Number of Question/s - 3094