IIT JAM Biotechnology Previous Year Question paper Topic Physics Archives - CSIR NET LIFE SCIENCE COACHING | NTA NET LIFE SCIENCE

97. For a particle executing SHM: v(t) = −100 sin (20t + π/3) a(t) = −2000 cos (20t + π/3) Find the amplitude of oscillation.

Amplitude of SHM from Velocity and Acceleration Equations

96. The energy of an electron in the ground state of hydrogen is 13.6 eV. The energy required to excite it to the first excited state is ________.

Energy Required to Excite Hydrogen Electron

95. Charges are placed at x=0, x=2nm, and x=6nm. The force between two charges separated by 2 nm is 2 pN. Find the magnitude of the force on the middle charge.

Force on the Middle Charge Using Coulomb’s Law

94. A microscope objective has a linear magnification of 10. To achieve a final magnification of 100, the angular magnification of the eyepiece should be ________.

Compound Microscope Magnification Numerical

93. Two particles each of mass 20 g are involved in a one-dimensional elastic collision. The first particle moves at 10 m s⁻¹ while the second is initially at rest. Find the speed of the first particle after collision.

One-Dimensional Elastic Collision Between Two Equal Masses

92. The truth table of a logic gate is: Input A Input B Output 0 0 1 0 1 1 1 1 0 Find the output for input (1,0).

Gravitational Potential Energy Between Two Masses

90. Which of the following is(are) CORRECT? (A) Light has wave nature only (B) Light can have both wave and particle nature (C) Photoelectric effect shows that light can behave like particles (D)Interference experiments show that light behaves like particles

Wave Nature and Particle Nature of Light

89. Consider monoatomic ideal gas molecules of mass min thermal equilibrium at temperature T. Which one of the following equations is correct? (the angular brackets denote average, 𝑘𝐵 is Boltzmann constant, 𝑣 is velocity, and vx is the x-component of velocity)

Dimensions of X in Exponential Velocity Equation

87. For an ideal gas at room temperature, choose the CORRECT representation(s) of Boyle’s Law. (P = Pressure, V = Volume, T = Temperature) (A) only (i) (B) both (ii) and (iii) (C) only (iii) (D) both (iii) and (iv)

Photon Wavelength from Energy Numerical

85. A ball is thrown vertically upward with a speed of 19.6 m/s. The value of acceleration due to gravity at that place is 9.8 m/s². The maximum height (in cm) that the ball reaches is _______. (in integer)

Maximum Height Reached by a Vertically Thrown Ball

84. Consider that M, L and T indicate mass, length and time, respectively. If is the dimensional formula for the physical quantity Torque, then the value of is ________. (in integer)

$83. If a light beam (solid arrow in the shown figure) is entering from Air medium to Glass medium (having refractive index of 1.5), then while entering (A) speed of light will decrease (B) speed of light will increase (C) light will bend (deviate from original path) if θ ≠ 0 (D) light will undergo total internal reflection$

Light Entering from Air to Glass

Capacitance of a Parallel Plate Capacitor

81. If a simple pendulum has length and time period , then a pendulum of length will have a time period of

Time Period of a Simple Pendulum

80. Consider a block of mass ‘m’ hanging using a string and pulley arrangement, as shown in the figure. The weight ‘mg’ and tension ‘T’ are working on the block in such a way that the block is not moving and the string is parallel to the perfectly vertical wall. If the block is just in contact (but not attached/fixed) with the wall and the coefficient of static friction is ‘μ’, then the static frictional force acting on the block is (A) 0 (B) μmg (C) μT (D) μ(mg + T)/2

Static Friction on a Block Just Touching a Vertical Wall

79. A bat emitting ultrasound at 50 kHz is flying directly towards a solid wall with a speed of 3 ms–1. If the speed of sound in air is 330 ms–1, the frequency of the reflected signal (in kHz) heard by the bat will be

Bat and Wall Doppler Effect Problem

78. A nuclear power plant generates 1000 Megawatts (MW) of electrical power and used half of its fuel supply in 5 years. The reactor uses 235U with 33% efficiency for the conversion of heat released by nuclear fission to electrical power. Each atom of 235U releases 200 MeV of energy. How many tons of 235U did the reactor start with? (1 ton = 1000 kg; Avogadro number = 6.023 × 1023 mol–1)

Nuclear Power Plant Fuel Consumption Numerical

77. The axis of rotation of the earth makes an angle of 66.5o with the plane containing the Earth’s orbit around the Sun (called the plane of the ecliptic). If this angle were 50o, then the area of the Earth’s surface from which a “midnight Sun” (24 hour daylight) can be observed would change. The ratio of the new area to the previous area is

Midnight Sun Area Ratio When Earth’s Axial Tilt Changes

76. A 50-metre tall antenna transmits at 107 MHz (one of the FM radio broadcast frequencies). Calculate the maximum distance from the antenna at which the transmitted signal can be heard. Ignore atmospheric attenuation and give your answer correct to the nearest kilometer only. You are given that the radius of the earth is 6400 km.

Maximum Distance of FM Radio Signal from an Antenna

75. A man weighing 70 kg stands on a weighing scale which is placed in an elevator. The elevator is moving up towards its destination floor with a velocity of 1.0 ms–1. As it approaches the destination floor it starts slowing down, such that it comes to rest in 2 seconds. Assuming the acceleration due to gravity, g = 9.8 ms–2, the reading of the weighing scale just before the elevator comes to rest is

Weighing Scale Reading in a Decelerating Elevator

74. The “strong nuclear force” holds the protons and neutrons (nucleons) together in the nucleus of an atom. It is found that the binding energy per nucleon (for the nucleus of an element) when plotted against the mass number (A) of that element changes very little for 30 < A < 150. The binding energy is lower for A > 150. This leads us to conclude that (A) the strong nuclear force must oscillate with distance with a periodicity approximately same as the size of a proton or neutron (B) the fusion of two elements, both with A > 150 may release energy (C) the strong nuclear force changes very slowly with distance (i.e. It is long ranged on the scale of the size of nucleus) (D) the strong nuclear force goes to zero very rapidly with distance (i.e. It is short ranged on the scale of the size of nucleus)

Binding Energy Per Nucleon and Strong Nuclear Force

73. Three NOT gates are connected in series and the output of the last gate is fed back to the input of the first one as shown in the figure. Each gate has a propagation delay of Td =1 nano second, which means that the gate requires 1 nano second to change the output after the signal arrives at the input. What is the expected output at point A? (A)Sine wave with a frequency of 666 MHz (B)Square wave with a frequency of 666 MHz (C) Random white noise (D) Square wave with a frequency of 333 MHz

Ring Oscillator Using Three NOT Gates

72. The minimum light intensity that the human eye can perceive is 10–10 Wm–2. The area of the opening of our eye (the pupil) is approximately 0.4 cm–2. Consider yellow light with wavelength l=600 nm. The number of photons incident on the retina per second at the minimum intensity for the eye to respond is (A)1.5×103 (B) 5×103 (C) 8×103 (D) 1.2×104

Number of Photons Incident on the Human Eye

71. If a projectile lifts off from the surface of the Earth with a speed of 11.2 km.s–1, then it can escape from the Earth’s gravitational field completely. This is called the escape velocity. If the radius of the Earth were 2 times larger and the mass 8 times larger, then the escape velocity (in km.s–1) would be (A) 5.6 (B) 11.2 (C) 22.4 (D) 44.8

Escape Velocity When Earth’s Mass and Radius Change

70. A copper wire having a cross sectional area of 6.62 × 10-6 m2 carries a current of 20 A. Assuming that each atom contributes one free electron to the current, the time required by electrons to travel a distance of 1 m is min. Given data: Density of copper = 8.92 g/cm3 and molar mass = 63.5 g/mol, Avogadro number = 6.02 × 1023

Drift Velocity of Electrons in a Copper Wire

69. A jet plane lands on an aircraft carrier at 70 m/s and stops in 3 seconds. Assuming that the acceleration is constant, the jet plane travels a distance of ____ m before it stops.

Distance Travelled by a Jet Plane Before Stopping

68. In Young’s double slit experiment, the slits are separated by a distance of 0.05 mm and the source emits light of two wavelengths 450 and 520 nm. If the distance between the slit and viewing screen is 2 m, the separation between 2nd order bright fringes for the two wavelengths is _____cm.

Separation Between Second Order Bright Fringes

67. The magnetic field in the interior of a long current-carrying solenoid can be increased by (A) increasing the length of solenoid while keeping the number of turns per unit length as constant (B) increasing the number of turns per unit length (C) increasing the current in the solenoid (D) decreasing the length of solenoid while keeping the number of turns per unit length as constant

Magnetic Field Inside a Long Solenoid

66. An electron is accelerated from rest through a potential difference of 400 V. The electron then enters a uniform magnetic field that is perpendicular to the direction of electrons. The radius of the circular path experienced by the electron is 10 cm. The angular speed of electrons, in radians/sec, is Given data: Charge of electron = 1.6 × 10-19 C; Mass of electron = 9.1 × 10-31 Kg (A) 1.18 × 107 (B) 1.18 × 108 (C) 2.18 × 107 (D) 2.18 × 108

Electron Angular Speed in a Magnetic Field

65. An alpha particle and a proton have the same de Broglie wavelength. Which of the following is also the same for the two particles if they are moving at non-relativistic speeds? (A) Frequency (B) Kinetic energy (C) Momentum (D) Speed

Alpha Particle and Proton with Same de Broglie Wavelength

64. In a p-n junction, the depletion region has a width of 3 × 10-7 m and the intensity of electric field in the depletion region is 106 V/m. An electron approaches the junction from the n-side with velocity v1 and enters the p-side with velocity v2. If v2 = 4 × 105 m/s, the value of v1 is Given data: Charge of electron = 1.6 × 10-19 C; Mass of electron = 9.1 × 10-31 kg (A) 3.2 × 105 m/s (B) 4.2 × 105 m/s (C) 5.2 × 105 m/s (D) 6.2 × 105 m/s

Electron Velocity in a p-n Junction

63. The time period and the amplitude of an object executing simple harmonic motion, under the restoring force of a spring, are 3.14 seconds and 0.2 m, respectively. If the mass of the object is 2 kg, the maximum force (in Newton) exerted by the spring on the object is (A) 1.6 (B) 3.2 (C) 4.6 (D) 5.2

Maximum Restoring Force in Simple Harmonic Motion

62. Consider two nuclei with the same mass number A. For which of the following values of A, the fusion reaction is NOT possible? (A) 15 (B) 22 (C) 29 (D) 36

Fusion Reaction and Mass Number

61. In a mass spectrometer, a deuteron with kinetic energy 17 MeV enters a uniform magnetic field of 2.4 T with its velocity perpendicular to the field. The deuteron moves in a circular path in the magnetic field. The radius of its path in the magnetic field (correct to two decimal places) is ____ cm. [mass of deuteron is 3.34 × l0-27 kg, 1MeV = 1.6 × 10-13 and e = 1.6 × 10-19 C]

Radius of Circular Path of a Deuteron

X-ray Tube Operates at 30 kV

59. Two sources P and Q produce electromagnetic waves with wavelengths Z and 2Z, respectively. Source P ejects a photon with a maximum kinetic energy of 4.0 eV from a metal with work function 2.0 eV. The maximum kinetic energy (eV) of a photon ejected by source Q from the same metal is

Maximum Kinetic Energy in the Photoelectric Effect

58. One gram of radioactive nuclei with a half life of 300 days is kept in an open container. The weight of nuclei remaining after 900 days (correct to 1 decimal place) is mg.

Radioactive Decay Half-Life Problem

57. The electric field and capacitance of a capacitor in the absence of dielectric material are E and C, respectively. When the capacitor is filled with a dielectric material, the electric field and capacitance of the capacitor becomes E’ and C', respectively. Which of the following is(are) correct? (A) E' > E and C' = C (B) E' < E and C' > C (C) E' = E and C' > C (D) E' > E and C' < C

Effect of Dielectric on Electric Field and Capacitance of a Capacitor

56. Kinetic theory of an ideal gas is based upon the following assumption(s) (A) Gases are made of molecules with negligible volume (B) The gaseous molecules do not possess kinetic energy (C) The molecules are in constant random motion (D) Intermolecular forces of attraction are negligible

Kinetic Theory of an Ideal Gas Assumptions

55. A body X of mass M moving with velocity v hits a stationary body Y of mass m. If M >> m and X moves with the velocity v', then the velocity of Y after an elastic collision is (A) 2v (B) v + v’ (C) v - v' (D) 2v'

Velocity of a Body After Elastic Collision

54. Two inductors P and Q having inductance ratio 1:2 are connected in parallel in an electric circuit. The energy stored in the inductors P and Q are in the ratio (A) 1 : 4 (B) 1 : 2 (C) 2 : 1 (D) 4 : 1

Two Inductors Connected in Parallel

53. The position of a particle along the y-axis is y —— P t4 + Q. For the equation to be dimensionally consistent, the dimension of P in terms of length [L] and time [T] is (A) LT-1 (B) LT-2 (C) LT-3 (D) LT-4

Dimensions of P in the Equation y = Pt⁴ + Q

$52. The refractive index of diamond is 2.419. lf the speed of light in vacuum is 3 × 108 m s-1, then the speed of light in diamond is (A) 1.240 × 108 m s-1 (B) 1.352 × 108 m s-1 (C) 1.521 × 108 m s-1 (D) 2.433 × 108 m s-1$

Speed of Light in Diamond

51. The average energy of a diatomic gaseous molecule at temperature T is kBT where kB is Boltzmann's constant. The average energy of this molecule per degree of freedom is (A) 1/2 kBT (B) 2/3 kBT (C) kBT (D) 3/2 kBT

Average Energy of a Diatomic Gas Molecule

50. The relationship between the applied force F(X) (in Newton) on a body and its displacement X (in metre) is given below. The total amount of work done in moving the body from X = 0 to X = 4 m is Joule.

Work Done from a Force-Displacement Graph

49. An ultrasound signal of frequency 50 KHz is sent vertically down into a medium. The signal gets reflected from a depth of 25 mm and returns to source 0.00005 seconds after it is emitted. The wavelength of the ultrasound signal in that medium is cm.

Wavelength of Ultrasound Signal Reflected

48. The equivalent capacitance of following assembly of capacitors is µF.

Equivalent Capacitance of the Given Capacitor Combination

Corrective Lens of Power −2.0 D

Self-Inductance of a Long Solenoid

45. Match the entries in Group I (Mechanical system) with analogous quantities in Group II (Electrical system) Group I Group II P) Mass 1) Current Q) Spring constant 2) Voltage R) Displacement 3)Reciprocal capacitance S) Velocity 4) Charge 5) Inductance (A) P-3, Q-5, R-4, S-1 (B) P-5, Q-3, R-4, S-2 (C) P-3, Q-5, R-4, S-2 (D) P-5, Q-3, R-4, S-1

Mechanical and Electrical System Analogy

44. A 30 µF capacitor is connected to a 240 V, 50 Hz source. If the frequency of the source is changed from 50 Hz to 200 Hz, the capacitive reactance of the capacitor will (A) increase by a factor of two. (B) increase by a factor of four. (C) decrease by a factor of four. (D) decrease by a factor of two.

Effect of Frequency on Capacitive Reactance

43. Which one of the following shows the CORRECT relationship among velocity of light in a medium (𝑣), permittivity of medium (𝜀) and magnetic permeability of medium (𝜇)?

Correct Relationship Between Velocity of Light

42. Nucleus of a radioactive material can undergo beta decay with half life of 4 minutes. Suppose beta decay starts with 4096 nuclei at 𝑡 = 0, the number of nuclei left after 20 minutes would be (A) 1024 (B) 128 (C) 512 (D) 256

Radioactive Decay Half-Life Calculation

41. An infinitely long solenoid of radius r and number of turns per unit length n carries a steady current I. The ratio of the magnetic fields at a point on the axis of the solenoid to a point r/2 from the axis is

Magnetic Field Ratio Inside an Infinitely Long Solenoid

40. Two identical, infinite conducting plates are kept parallel to each other and are separated by a distance d. The uniform charge densities on the n plates are +σ and -σ. The electric field at a point between the two plates is where n is . (e0 is the permittivity of free space)

Electric Field Between Two Infinite Parallel Conducting Plates

39. A metallic wire of electrical resistance 40 Ω is bent in the form of a square loop. The resistance between any two diagonally opposite corners is Ω.

Resistance Between Diagonally Opposite Corners

$38. The refractive index of a liquid relative to air is 1.5. Calculate the ratio of the real depth to the apparent depth when the liquid is taken in a beaker.$