Practice Questions

Q24.One mole of a monoatomic gas is mixed with three moles of a diatomic gas. The molecular specific heat of mixture at constant volume is α2 R J mol K−1 ; then the value of α will be _____ . (Assume that the given 4 diatomic gas has no vibrational mode.)

Q24.The displacement current of 4. 425 μA is developed in the space between the plates of parallel plate capacitor when voltage is changing at a rate of 106 V s−1 . The area of each plate of the capacitor is 40 cm2 . The distance between each plate of the capacitor is x × 10−3 m . The value of x is , (Permittivity of free space, ε0 = 8. 85 × 10−12 C2 N−1 m−2 ) _______

Q24.A capacitor of capacitance 50 pF is charged by 100 V source. It is then connected to another uncharged identical capacitor. Electrostatic energy loss in the process is____ nJ .

Q24.Two waves executing simple harmonic motion travelling in the same direction with same amplitude and frequency are superimposed. The resultant amplitude is equal to the √3 times of amplitude of individual motions. The phase difference between the two motions is _____ (degree)

Q24.A spherical soap bubble of radius 3 cm is formed inside another spherical soap bubble of radius 6 cm. If the internal pressure of the smaller bubble of radius 3 cm in the above system is equal to the internal pressure of the another single soap bubble of radius r cm. The value of r is _____

Q24.A mass 0. 9 kg, attached to a horizontal spring, executes SHM with an amplitude A1 . When this mass passes through its mean position, then a smaller mass of 124 g is placed over it and both masses move together with amplitude A2 . If the ratio A2A1 is α−1α , then the value of α will be _____ .

Q24.Two coils require 20 minutes and 60 minutes respectively to produce same amount of heat energy when connected separately to the same source. If they are connected in parallel arrangement to the same source; the time required to produce same amount of heat by the combination of coils, will be _____ min.

Q25.An ideal fluid of density 800 kg m−3 , flows smoothly through a bent pipe (as shown in figure) that tapers in cross-sectional area from a to a . The pressure difference between the wide and narrow sections of pipe is 2 4100 Pa . At wider section, the velocity of fluid is √x6 m s−1 for x = _____ . (Given g = 10 m s−2 )

Q25.A steam engine intakes 50 g of steam at 100°C per minute and cools it down to 20°C. If latent heat of vaporization of steam is 540 cal g-1, then the heat rejected by the steam engine per minute is _____ × 103 cal (Given : specific heat capacity of water : 1 cal g-1∘C-1)

Q25.A heat engine operates with the cold reservoir at temperature 324 K. The minimum temperature of the hot reservoir, if the heat engine takes 300 J heat from the hot reservoir and delivers 180 J heat to the cold reservoir per cycle, is _____ K .

Q25.A 1 m long copper wire carries a current of 1 A . If the cross section of the wire is 2. 0 mm2 and the resistivity of copper is 1. 7 × 10−8 Ω m. The force experienced by moving electron in the wire is _____ ×10−23 N (Charge of electron = 1. 6 × 10−19C )

Q25.A parallel plate capacitor is made up of stair like structure with a plate area A of each stair and that is x ε0 A , The connected with a wire of length b, as shown in the figure. The capacitance of the arrangement is b 15 value of x is _____ .

Q25.A wire of length 30 cm, stretched between rigid supports, has it's nth and (n + 1)th harmonics at 400 Hz and 450 Hz, respectively. If tension in the string is 2700 N , it's linear mass density is _____ kg m−1 .

Q25.Two resistors are connected in series across a battery as shown in figure. If a voltmeter of resistance 2000 Ω is used to measure the potential difference across 500 Ω resister, the reading of the voltmeter will be _____ V

Q25.The variation of applied potential and current flowing through a given wire is shown in figure. The length of wire is 31. 4 cm. The diameter of wire is measured as 2. 4 cm. The resistivity of the given wire is measured as x × 10−3 Ω cm. The value of x is _____ . [Take π = 3. 14 ]

Q25.The metallic bob of simple pendulum has the relative density 5. The time period of this pendulum is 10 s. If the metallic bob is immersed in water, then the new time period becomes 5√𝑥 s. The value of 𝑥 will be _____ .

Q25.A potentiometer wire of length 10 m and resistance 20 Ω is connected in series with a 25 V battery and an external resistance 30 Ω. A cell of emf E in secondary circuit is balanced by 250 cm long potentiometer wire. The value of E (in volt) is x . The value of x is _____ . 10 JEE Main 2022 (24 Jun Shift 2) JEE Main Previous Year Paper

Q25.Two parallel plate capacitors of capacity C and 3C are connected in parallel combination and charged to a potential difference 18 V . The battery is then disconnected and the space between the plates of the capacitor of capacity C is completely filled with a material of dielectric constant 9 . The final potential difference across the combination of capacitors will be _____ V .

Q25.The frequency of echo will be _____ Hz if the train blowing a whistle of frequency 320 Hz is moving with a velocity of 36 km h-1 towards a hill from which an echo is heard by the train driver. Velocity of sound in air JEE Main 2022 (28 Jul Shift 1) JEE Main Previous Year Paper is 330 m s-1.

Q25.At a certain temperature, the degrees of freedom per molecule for gas is 8 . The gas performs 150 J of work when it expands under constant pressure. The amount of heat absorbed by the gas will be _____ J.

Q25.A 220 V, 50 Hz AC source is connected to a 25 V, 5 W lamp and an additional resistance R in series (as shown in figure) to run the lamp at its peak brightness, then the value of R (in ohm) will be

Q25.Three point charges of magnitude 5 𝜇C, 0 . 16 𝜇C and 0 . 3 𝜇C are located at the vertices 𝐴, 𝐵, 𝐶 of a right angled triangle whose sides are 𝐴𝐵= 3 cm, 𝐵𝐶= 3√2 cm and 𝐶𝐴= 3 cm and point 𝐴 is the right angle corner. Charge at point 𝐴 experiences _____ N of electrostatic force due to the other two charges.

Q25.A composite parallel plate capacitor is made up of two different dielectric materials with different thickness ( t1 and t2 ) as shown in figure. The two different dielectric material are separated by a conducting foil F . The voltage of the conducting foil is _____ V .

Q26.The current density in a cylindrical wire of radius r = 4. 0 mm is 1. 0 × 106 A2 m2 . The current through the outer portion of the wire between radial distances r and r is xπ A ; where x is 2

Q26.When a gas filled in a closed vessel is heated by raising the temperature by 1°C, its pressure increases by 0 . 4% The initial temperature of the gas is _____ 𝐾. Q27.27 identical drops are charged at 22 V each. They combine to form a bigger drop. The potential of the bigger drop will be _____ V.