JEE Main 2023 01 Feb Shift 2

79 Questions • 180 Minutes • 2023

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If the velocity of light $c$, universal gravitational constant $G$ and planck's constant $h$ are chosen as fundamental quantities. The dimensions of mass in the new system is:

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The escape velocities of two planets $A\ and\ B$ are in the ratio $1\ :\ 2$. If the ratio of their radii respectively is $1\ :\ 3$, then the ratio of acceleration due to gravity of planet $A$ to the acceleration of gravity of planet $B$ will be:

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For a body projected at an angle with the horizontal from the ground, choose the correct statement

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The Young's modulus of a steel wire of length $6\ \mathrm{m}$ and cross-sectional area $3\ \mathrm{mm}^2$, is $2\ \times\ 11^{11}\ \mathrm{N/m}^2$ . The wire is suspended from its support on a given planet. A block of mass $4\ \mathrm{kg}$ is attached to the free end of the wire. The acceleration due to gravity on the planet is $\frac{1}{4}$ of its value on the earth. The elongation of wire is (Take $g$ on the earth $=\ 10\ \mathrm{m/s^2}$ ):

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A Carnot engine operating between two reservoirs has efficiency $\frac{1}{3}$. When the temperature of cold reservoir raised by $x$, its efficiency decreases to $\frac{1}{6}$. The value of $x$, if the temperature of hot reservoir is $99^{\circ}\ C$, will be

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Choose the correct length $(L)$ versus square of time period $(T_2)$ ) graph for a simple pendulum executing simple harmonic motion.

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Given below are two statements : One is labelled as Assertion A and the other is labelled as **Reason R.** **Assertion A :** Two metallic spheres are charged to the same potential. One of them is hollow and another is solid, and both have the same radii. Solid sphere will have lower charge than the hollow one. **Reason R :** Capacitance of metallic spheres depend on the radii of spheres. In the light of the above statements, choose the correct answer from the options given below.

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Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R. **Assertion A :** For measuring the potential difference across a resistance of $600\ \Omega$, the voltmeter with resistance $1000\ \Omega$ will be preferred over voltmeter with resistance $4000\ \Omega$. **Reason R :** Voltmeter with higher resistance will draw smaller current than voltmeter with lower resistance. In the light of the above statements, choose the most appropriate answer from the options given below

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Equivalent resistance between the adjacent corners of a regular $n$-sided polygon of uniform wire of resistance $R$ would be :

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A coil is placed in magnetic field such that plane of coil is perpendicular to the direction of magnetic field. The magnetic flux through a coil can be changed: A. By changing the magnitude of the magnetic field within the coil. B. By changing the area of coil within the magnetic field. C. By changing the angle between the direction of magnetic field and the plane of the coil. D. By reversing the magnetic field direction abruptly without changing its magnitude. Choose the most appropriate answer from the options given below:

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The ratio of average electric energy density and total average energy density of electromagnetic wave is:

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Two objects $A\ and\ B$ are placed at $15\ \mathrm{cm}\ and\ 25\ \mathrm{cm}$ from the pole in front of a concave mirror having radius of curvature $40\ \mathrm{cm}$. The distance between images formed by the mirror is:

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The threshold frequency of metal is $f_0$. When the light of frequency $2f_0$ is incident on the metal plate, the maximum velocity of photoelectron is $v_1$. When the frequency of incident radiation is increased to $5f_0$. the maximum velocity of photoelectrons emitted is $v_2$. The ratio of $v_1$ to $v_2$ is:

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An electron of a hydrogen like atom, having $Z\ =\ 4$, jumps from $4^{th}$ energy state to $2^{nd}$ energy state, The energy released in this process, will be: (Given $Rch\ =\ 13.6\ eV$) Where $R\ =$ Rydberg constant $c\ =$ Speed of light in vacuum $h\ =$ Planck's constant

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Choose the correct statement about Zener diode:

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In an amplitude modulation, a modulating signal having amplitude of $X$ V is superimposed with a carrier signal of amplitude $Y$ V in first case. Then, in second case, the same modulating signal is superimposed with different carrier signal of amplitude $2Y$ V. The ratio of modulation index in the two case respectively wil be :

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Which one of the following sets of ions represents a collection of isoelectronic species? (Given : Atomic Number : $\mathrm{F}: 9, \mathrm{Cl}: 17, \mathrm{Na}=11$ $\mathrm{Mg}=12, \mathrm{Al}=13,\ \mathrm{K}=19, \mathrm{Ca}=20,\ \mathrm{Sc}=21$)

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For electron gain enthalpies of the elements denoted as $\Delta_{eg}\mathrm{H}$, the incorrect option is :

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The effect of addition of helium gas to the following reaction in equilibrium state at constant volume, is : $\mathrm{PCl_5(g) \rightleftharpoons PCl_3(g) + Cl_2(g)}$

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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : An aqueous solution of $\mathrm{KOH}$ when for volumetric analysis, its concentration should be checked before the use. Reason (R) : On aging,$\mathrm{KOH}$ solution absorbs atmospheric $\mathrm{CO_2}$. In the light of the above statements, choose the correct answer from the options given below.

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Paper Info

Exam: JEE
Year: 2023
Questions: 79
Duration: 180 mins

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