JEE Advanced Mock Test - 1 (Paper I) - JEE MCQ
30 Questions MCQ Test Mock Tests for JEE Main and Advanced 2025 - JEE Advanced Mock Test - 1 (Paper I)
A point charge Q is moving in a circular orbit of radius R in the x-y plane with an angular velocity ω. This can be considered as equivalent to a loop carrying a steady current 
. A uniform magnetic field along the positive z-axis is now switched on, which increases at a constant rate from 0 to B in one second. Assume that the radius of the orbit remains constant. The application of the magnetic field induces an emf in the orbit. The induced emf is defined as the work done by an induced electric field in moving a unit positive charge around a closed loop. It is known that, for an orbiting charge, the magnetic dipole moment is proportional to the angular momentum with a proportionality constant .
The magnitude of the induced electric field in the orbit at any instant of time during the time interval of the magnetic field change is
. A uniform magnetic field along the positive z-axis is now switched on, which increases at a constant rate from 0 to B in one second. Assume that the radius of the orbit remains constant. The application of the magnetic field induces an emf in the orbit. The induced emf is defined as the work done by an induced electric field in moving a unit positive charge around a closed loop. It is known that, for an orbiting charge, the magnetic dipole moment is proportional to the angular momentum with a proportionality constant .
A moving ball collides a pendulum bob as shown, the coefficient of restitution so that bob performs vertical circular motion about 0 is (g = 10 m/s2)
The mass of nucleus . z X A is less than the sum of the masses of ( A − Z ) number of neutrons and Z number of protons in the nucleus. The energy equivalent to the corresponding mass difference is known as the binding energy of the nucleus. A heavy nucleus of mass M can break into two light nuclei of mass m1 and m2 only if ( m1 + m2 ) < M . Also two light nuclei of massws m3 and m4 can undergo complete fusion and form a heavy nucleus of mass M' only if ( m3 + m4 ) > M
The masses of some neutral atoms are given in the table below:
Q. Which of the following statements is correct?
The masses of some neutral atoms are given in the table below:
Three simple harmonic motions in the same direction having the amplitudes a, 2a and 3a respectively are superposed. If each differ in phase from the next by 45o , then find out the correct options (Consider that all have the same frequency)
In the figure small block of mass m is kept on big block of mass M, then
A fish looking upwards through the water seeing the outside world contained in a circular horizon. If the refractive index of water is 4/3 and the fish is 12 cm below the surface, the radius of this circle in cm is
A long, square wooden block is pivoted along one edge as shown. The block is in equilibrium when immersed in water to the depth shown.
Assuming friction in the pivot is negligible. Let the density of wood be 170α170α. Hence αα is (in SI unit, up to two significant digit).
Two particles are projected horizontally in opposite directions from a point in a smooth inclined plane of inclination θ=60∘ with the horizontal as shown in the figure. Find the separation between the particles in the inclined plane when their velocity becomes perpendicular to each other. v1 = 1 m/s, v2 = 3 m/s. Express your answer in the form of k/5 metre. Then, find the value of k.
A plane monochromatic light wave falls normally on a diaphragm with two narrow slits separated by a distance d = 2.5 mm. A fringe pattern is formed on a screen placed at a distance l = 100 cm behind the diaphragm. By what distance in mm will these fringes be displaced when one of the slits is covered by a glass plate of thickness h = 10 μm?
If the switches S1, S2 and S3 in the figure are arranged such that current through the battery is minimum, then find the voltage across points A and B (in volt).
A parallel plate capacitor of capacitance 100 pF is to be constructed using paper sheet of 1 mm thickness as dielectric. If the dielectric constant of paper is 4.0, then the number of circular metal foils of diameter 2.0 cm is (N + 2). The value of N is
A square platform of side length 8 m is situated in x-z plane such that it is at 16 m from the x-axis and 8 m from the z-axis as shown in figure. A particle is projected with velocity)m/s 
relative to wind from origin and at the same instant the platform starts with acceleration 
. Wind is blowing with velocity 
(g = 10 m/s2)
A siphon tube is discharging a liquid of specific gravity 0.9 from a reservoir as shown in the figure.
Figure shows three concentric thin spherical shells A, B and C of radii R, 2R, and 3R, respectively. The shell B is earthed, and A and C are given charges q and 2q, respectively. If the charge on surfaces 1, 2, 3 and 4 are q1, q2, q3, and q4 respectively, then match the following list:
A bird in air is diving vertically over a tank with speed 5 cm s-1. Base of tank is silvered. A fish inthe tank is rising upward along the same line with speed 2 cm s-1. The water level is falling atrate of 2 cm s-1. (Take: μwater = 4/3)
Two aliphatic aldehydes P and Q react in the presence of aqueous K2CO3 to give compound R, which upon treatment with HCN provides compound S. On acidification and heating, S gives the product shown below.
The hydrogen-like species Li2+ is in a spherically symmetric state S1 with one radial node. Upon absorbing light, the ion undergoes transition to a state S2. The state S2 has one radial node and its energy is equal to the ground state energy of the hydrogen atom.
The orbital S2 and the energy of the state S1 in units of the hydrogen atom ground state energy respectively are;
, where E1 is the energy of H-atom in the ground state
The correct set of the products obtained in the following reactions
Which starting material should be used to produce the compound shown below ?
Graph shows variation of internal energy U with density ρ of one mole of an ideal monoatomic gas. Process AB is a part of rectangular hyperbola. Find work done in the process (in Joules)
Two blocks of masses m1 = 5kg and m2 = 2 kg are connected by threads which pass over the pulleys as shown in the figure. The threads are massless, and the pulleys are massless and smooth. The blocks can move only in the vertical direction. If the acceleration of m1, if expressed in simplest from, is equal to 
calculate 'n'. (Take g = 10 m/s2)
How many maximum numbers of cyclic isomer(s) is/are possible with formula C5H10? (consider stereoisomers)
are eccentricities of a hyperbola and its conjugate hyperbola, so
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Important Questions for JEE Advanced Mock Test - 1 (Paper I)
JEE Advanced Mock Test - 1 (Paper I) MCQs with Answers
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