According to Kepler's Third Law of Planetary Motion, the square of the time period of revolution of a planet around the Sun is directly proportional to: MCQ with Answer and Explanation

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According to Kepler's Third Law of Planetary Motion, the square of the time period of revolution of a planet around the Sun is directly proportional to:

A. The cube of the mass of the Sun

B. The mass of the planet

C. The cube of the semi-major axis of its elliptical orbit

D. The square of the semi-major axis of its elliptical orbit

Answer: Option C

Solution (By JKSSB Mock Tests)

Kepler's Third Law (Law of Periods) states that the square of the time period (T^2) of any planet is proportional to the cube of the semi-major axis (r^3) of its orbit. Mathematically, T^2 is proportional to r^3. This law helps in calculating orbital periods or distances of planets and satellites.

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The phenomenon of diffraction is most pronounced when:

A. Obstacle size is much larger than wavelength

B. Obstacle size is comparable to wavelength

C. Obstacle size is much smaller than wavelength

D. Wavelength is zero

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Correct Answer: Option B

Explanation:
Diffraction (bending of waves around obstacles) is significant when obstacle or aperture size is comparable to the wavelength of the wave. If size >> λ, diffraction is negligible (ray optics); if size

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Question #2

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What is the equivalent capacitance when three capacitors of 3 microfarads each are connected in series?

A. 0.33 microfarads

B. 3 microfarads

C. 1 microfarad

D. 9 microfarads

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Correct Answer: Option C

Explanation:
The formula for capacitors in series is exactly the opposite of resistors. 1/C_eq = 1/C1 + 1/C2 + 1/C3. Here, all are 3 uF. So, 1/C_eq = 1/3 + 1/3 + 1/3 = 3/3 = 1. Therefore, C_eq = 1 microfarad. When identical capacitors are in series, you simply divide the capacitance by the number of capacitors (3/3 = 1).

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Question #3

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When an ambulance with a blaring siren moves towards an observer, the pitch of the siren appears to be higher. This is due to:

A. Acoustic resonance

B. The Doppler Effect

C. Interference of sound waves

D. Reverberation

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Correct Answer: Option B

Explanation:
The Doppler Effect is the apparent change in the frequency (and thus pitch) of a wave due to the relative motion between the source and the observer. As the ambulance approaches, sound waves get compressed, increasing the perceived frequency (higher pitch). As it moves away, waves stretch, lowering the frequency.

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