NDA || PHYSICS || MINI MOCK

Potential energy function for a particle under a conservative force is

U(x) = -2x³ + 4x – 7 N cm

Find the magnitude of force at x = 2 cm.

A body is rolled on ice with a speed of 6 m/s. It comes to rest in 5 seconds. Find the coefficient of friction. ( g = 10 ms^-2)

The formula of the maximum height of the projectile is?

A circuit contains a resistor of 24 Ω and a capacitor in series connected to a supply labelled 200 V – 50 Hz. The current in the circuit is 8 A . Find the reactance of the capacitor.

A 10 V source was charging a 12 μF capacitor. After charging, the source was removed, and an inductor of inductance 3× 10^-4 H was connected. Find the current flowing across the inductor.

A particle is moving with speed along positive 𝒳 –axis. Calculate the speed of the particle at time t = (assume that the particle is at origin at t = 0).

What is the equivalent resistance of between the points A and B of the network shown in the figure?

The coercivity of a small magnet where the ferromagnet gets demagnetized is Am^-1 the current required to be passed in a solenoid of length 10 cm and number of turns 100 so that the magnet gets demagnetized when inside the solenoid, is

A particle is moving with velocity , where k is a constant. The general equation for its path is

Which of the following relation is incorrect?

On which of the following factor does the internal resistance of the cell not depend?

What should be the internal resistance of an ideal ammeter?

A proton is accelerated using a cyclotron. The strength of the magnetic field is 0.4 T. Find the frequency of revolution.

A body starts from rest and then travels with uniform acceleration for a few minutes and then moves with a constant velocity. Which of the following v-t graphs correctly depict the motion of the body? (v on the y-axis and t on the x-axis)

Find the maximum height attained by the projectile launched at some angle from the horizontal if the maximum horizontal distance it covers is 22.05 m.