Physicssample 2025-26

If a charged hollow sphere and a solid sphere of aluminum and copper of equal radii are in electrostatic equilibrium, then which of the following statements is true?

• Both the spheres are having equal charges.

• The hollow sphere will have more charge than solid sphere at its surface.

• The aluminum sphere will have more charge on its surface than copper sphere.

• If hollow sphere is also made up of aluminum then it will have more charge.

A coil contains N turns of insulated copper wire of diameter d and resistivity ρ wound on a cylinder of diameter D. What is the total resistance between the two ends of the coil of copper wire?

• 4ρND/d²

• 8ρND/d²

• 2ρND/d²

• 12ρND/d²

If the phasor diagram for a device connected to AC supply is as shown in the figure, then which of the following statements is true?

• When the frequency of the AC source is increased, the impedance of the device decreases.

• This device behaves as conducting wire when connected across DC source.

• When the frequency of the AC source is decreased, the impedance of the device decreases.

• This device stores energy in the form of magnetic potential energy.

Which of the following statement is true for the radio waves and the gamma rays?

• The energy of gamma rays is lesser than that of the radio waves.

• The frequency of the radio waves is higher than that of gamma rays.

• The radio waves and the gamma rays have the same energy.

• The energy of radio waves is lesser than that of the gamma rays.

A glass prism has internal angles of 45°, 45° and 90°. The glass has a critical angle of 45°. Which of the following ray diagrams depicts the possible path of light through the prism?

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• 
• 
• 

Light passes from a certain medium into air. The critical angle of the given medium is θ. Which of the following expressions gives the speed of light in the given medium? Where c is the speed of light in air.

• cSinθ

• Sinθ/c

• c/Sinθ

• cSinθ

The light from a monochromatic source is incident on a single slit and the resulting diffraction pattern is viewed on a screen. The graph shows the variation of the intensity with the distance on the screen.

The width of slit is increased keeping the intensity of the source the same. Which of the following graphs is correct?

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• 
• 
• 

The phenomenon of superposition of two waves, resulting in redistribution of energy is known as?

• Diffraction

• Interference

• Reflection

• Refraction

Which of the following transitions corresponds to the emission of the radiation of the maximum wavelength?

• I

• III

• IV

• VI

A charged particle is projected along the axis of a current carrying loop. Which of the following statements is true?

• The acceleration of the charged particle will depend on the velocity with which it is projected.

• The acceleration of the charged particle will depend on the magnitude of the current passing through the coil.

• The acceleration of the charged particle will depend on the radius of the coil.

• The charged particle will move with constant velocity.