JEE Main entrance exam Question Bank Solutions for Physics (JEE Main)

The value of power dissipated across the Zener diode (V_z = 15 V) connected in the circuit as shown in the figure is x × 10^–1 watt. The value of x, to the nearest integer, is ______.

A uniform cylinder of mass M and radius R is to be pulled over a step of height a (a < R) by applying a force F at its centre 'O' perpendicular to the plane through the axes of the cylinder on the edge of the step (see figure). The minimum value of F required is:

A particular hydrogen-like ion emits radiation of frequency 2.92 × 10¹⁵ Hz when it makes the transition from n = 3 to n = 1. The frequency in Hz of radiation emitted in transition from n = 2 to n = 1 will be ______.

A metal wire of length L, area of cross section A and Young's modulus Y behaves as a spring of spring constant k given by:

A pendulum of mass m and length ℓ is suspended from the ceiling of a trolley which has a constant acceleration a in the horizontal direction as shown in the figure. Work done by the tension is ______.

(In the frame of the trolley)

A boy's catapult is made of rubber cord which is 42 cm long, with a 6 mm diameter of cross-section and negligible mass. The boy keeps a stone weighing 0.02 kg on it and stretches the cord by 20 cm by applying a constant force. When released, the stone flies off with a velocity of 20 ms^-1. Neglect the change in the area of the cross-section of the cord while stretched. Young's modulus of rubber is closest to ______.

In the figure shown here, the work done in the process ACBA is ______.

A gun fires bullets of mass 40 g horizontally towards a square platform of area 50 sq. cm. Pressure registered by a device connected to the platform is 2.88 × 10⁴ pa. If speed of bullets is 1200 m/s. How many bullets hit the platform?

Machine gun mounted on car is firing 30 bullets per minute onto the truck moving with speed 90 km/hr. The car is chasing truck with speed 180 km/hr. Numbers of bullet hitting the truck per min is ______. (Speed f bullet with respect to ground = 300 m/s)

A particle at the end of a spring executes simple harmonic motion with a period t₁, while the corresponding period for another spring is t₂. If the period of oscillation with the two springs in series is T, then ______.

If the highest frequency modulating a carrier is 5 kHz, then the number of AM broadcast stations accommodated in a 90 kHz bandwidth are ______.

A uniform metal rod of 2 mm² cross section is heated from 0°C to 20°C. The coefficient of linear expansion of the rod is 12 × 10^-6/°C, it's Young's modulus is 10¹¹ N/m². The energy stored per unit volume of the rod is ______.

If the length of a wire is made double and the radius is halved of its respective values. Then, Young's modules of the material of the wire will ______.

The force required to stretch a wire of cross section 1 cm² to double its length will be ______.

(Given Young's modulus of the wire = 2 × 10¹¹ N/m²)

In a certain thermodynamical process, the pressure of a gas depends on its volume as kV³. The work done when the temperature changes from 100°C to 300°C will be ______ nR, where n denotes number of moles of a gas.

The moment of inertia of a uniform thin rod about a perpendicular axis passing through one end is I₁. The same rod is bent into a ring and its moment of inertia about diameter is I₂. If `I_1/I_2` is `(xpi^2)/3`, then the value of x will be ______.

For the circuit shown below, calculate the value of I_z ______.

In connection with the circuit drawn below, the value of current flowing through 2 kΩ resistor is ______ × 10^-4 A.

In the given figure, the emf of the cell is 2.2 V, and if internal resistance is 0.6 Ω. Calculate the power dissipated in the whole circuit.

The reverse breakdown voltage of a Zener diode is 5.6 V in the given circuit.

The current I_z through the Zener is ______.