Physics

A mass of 5kg is connected to a spring. The potential energy curve of the simple harmonic motion executed by the system is shown in the figure. A simple pendulum of length 4m has the same period of oscillation as the spring system. What is the value of acceleration due to gravity on the planet where these experiments are performed?

At very high frequencies, the effective impendance of the given circuit will be_______ $\Omega .$  

In a Young's double slit experiment, the slits are separated by 0.3mm and the screen is 1.5m away from the plane of slits. Distance between fourth bright fringes on both sides of central bright is 2.4cm. The frequency of light used is______* 10¹⁴ Hz.

A long solenoid with 1000 turns/m has a core material with relative permeability 500 and volume 10³ cm³. If the core material is replaced by another material having relative permeability of 750 with same volume maintaining same current of 0.75A in the solenoid, the fractional change in the magnetic moment of the core would be approximately $\left(\frac{x}{499}\right).$  Find the value of x.

A bandwidth of 6 MHz is available for A.M. transmission. If the maximum audio signal frequency used for modulating the carrier wave is not to exceed 6 kHz. The number of stations that can be broadcasted within this band simultaneously without interfering with each other will be_______.

A resistor dissipates 192 J of energy in 1s when a current of 4A is passed4 through it. Now, when the current is doubled, the amount of thermal energy dissipated in 5s in________J.

The diameter of a spherical bob is measured using a vernier calipers. 9 divisions of the main scale, in the vernier caliper, are equal to 10 divisions of vernier scale. One main scale division is 1mm. The main scale reading is 10mm and 8^th division of vernier scale was found to coincide exactly with one of the main scale division. If the given vernier calipers has positive zero error of 0.04cm, then the radius of the bob is______ * 10^-2cm.

A particle is moving with constant acceleration 'a'. Following graph shows ${\nu }^2$  versus x (displacement) plot. The acceleration of the particle is______ m/s².

The ranges and heights for two projectiles projected with the same initial velocity at angles 42° and 48° with the horizontal are R₁, R₂ and H₁, H₂ respectively. Choose the correct option:

Choose the incorrect statement :

(A) The electric lines of force entering into a Gaussian surface provide negative flux.

(B) A charge 'q' is placed at the centre of a cube. The flux through all the faces will be the same.

(C) In a uniform electric field net flux through a closed Gaussian surface containing no net charge, is zero.

(D) When electric field is parallel to a Gaussian surface, it provides a finite non-zero flux.

Choose the most appropriate answer from the options given below