JEE Main 2021 (18 March Shift 1)

The time period of a simple pendulum is given by $$T = 2\pi\sqrt{\frac{l}{g}}$$. The measured value of the length of the pendulum is 10 cm known to a 1 mm accuracy. The time for 200 oscillations of the pendulum is found to be 100 second using a clock of 1s resolution. The percentage accuracy in the determination of $$g$$ using this pendulum is $$x$$. The value of $$x$$ to the nearest integer is:-

The position, velocity and acceleration of a particle moving with a constant acceleration can be represented by:

A constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in time $$t$$ is proportional to:

A thin circular ring of mass $$M$$ and radius $$r$$ is rotating about its axis with an angular speed $$\omega$$. Two particles having mass $$m$$ each are now attached at diametrically opposite points. The angular speed of the ring will become:

The time period of a satellite in a circular orbit of the radius $$R$$ is $$T$$. The period of another satellite in a circular orbit of the radius $$9R$$ is:

The $$P-V$$ diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an adiabatic process $$CD$$ is (use $$\gamma = 1.4$$):

What will be the average value of energy along one degree of freedom for an ideal gas in thermal equilibrium at a temperature $$T$$? ($$k_B$$ is Boltzmann constant)

In the experiment of Ohm's law, a potential difference of 5.0 V is applied across the end of a conductor of length 10.0 cm and diameter of 5.00 mm. The measured current in the conductor is 2.00 A. The maximum permissible percentage error in the resistivity of the conductor is:-

Four identical long solenoids A, B, C and D are connected to each other as shown in the figure. If the magnetic field at the center of A is 3 T the field at the center of C would be: (Assume that the magnetic field is confined with in the volume of respective solenoid).

A loop of flexible wire of irregular shape carrying current is placed in an external magnetic field. Identify the effect of the field on the wire.