NTA JEE Mains 24th jan 2023 Shift 1

Match List I with List II.
List I: (A) (B) (C) (D)
List II: (I) (II) (III) (IV)

The maximum vertical height to which a man can throw a ball is 136 m. The maximum horizontal distance upto which he can throw the same ball is

As per given figure, a weightless pulley $$P$$ is attached on a double inclined frictionless surface. The tension in the string (massless) will be (if $$g = 10 \text{ m s}^{-2}$$)

Given below are two statements:
Statement-I: An elevator can go up or down with uniform speed when its weight is balanced with the tension of its cable.
Statement-II: Force exerted by the floor of an elevator on the foot of a person standing on it is more than his/her weight when the elevator goes down with increasing speed.
In the light of the above statements, choose the correct answer from the options given below:

The weight of a body at the surface of earth is 18 N. The weight of the body at an altitude of 3200 km above the earth's surface is (given, radius of earth $$R_e = 6400$$ km)

A 100 m long wire having cross-sectional area $$6.25 \times 10^{-4} \text{ m}^2$$ and Young's modulus is $$10^{10} \text{ N m}^{-2}$$ is subjected to a load of 250 N, then the elongation in the wire will be :

1 g of a liquid is converted to vapour at $$3 \times 10^5$$ Pa pressure. If 10% of the heat supplied is used for increasing the volume by 1600 $$\text{cm}^3$$ during this phase change, then the increase in internal energy in the process will be :

Given below are two statements:
Statement I: The temperature of a gas is -73 °C. When the gas is heated to 527 °C, the root mean square speed of the molecules is doubled.
Statement II: The product of pressure and volume of an ideal gas will be equal to translational kinetic energy of the molecules.
In the light of the above statements, choose the correct answer from the options given below:

A travelling wave is described by the equation $$y(x, t) = 0.05\sin(8x - 4t)$$ m. The velocity of the wave is: [All the quantities are in SI unit]

If two charges $$q_1$$ and $$q_2$$ are separated with distance $$d$$ and placed in a medium of dielectric constant $$k$$. What will be the equivalent distance between charges in air for the same electrostatic force?