Major Competitive Exams

Q. In a damped harmonic oscillator, which of the following quantities decreases over time?
  • A. Amplitude
  • B. Frequency
  • C. Angular frequency
  • D. Phase constant
Q. In a damped harmonic oscillator, which of the following statements is true?
  • A. Energy is conserved
  • B. Amplitude decreases over time
  • C. Frequency increases over time
  • D. Phase remains constant
Q. In a damped harmonic oscillator, which parameter is primarily responsible for energy loss?
  • A. Mass
  • B. Spring constant
  • C. Damping coefficient
  • D. Driving force
Q. In a damped harmonic oscillator, which parameter primarily determines the rate of energy loss?
  • A. Mass of the oscillator
  • B. Spring constant
  • C. Damping coefficient
  • D. Driving force
Q. In a damped oscillator, if the energy decreases to 25% of its initial value in 10 seconds, what is the damping ratio?
  • A. 0.1
  • B. 0.2
  • C. 0.3
  • D. 0.4
Q. In a Daniell cell, which metal acts as the anode?
  • A. Copper
  • B. Zinc
  • C. Silver
  • D. Lead
Q. In a Daniell cell, which metal is oxidized?
  • A. Copper
  • B. Zinc
  • C. Lead
  • D. Silver
Q. In a data set, if the mean is 30 and the median is 25, what can be inferred about the data?
  • A. Skewed right
  • B. Skewed left
  • C. Symmetrical
  • D. Uniform
Q. In a data set, if the mean is 30 and the median is 25, what can be inferred?
  • A. Data is skewed right
  • B. Data is skewed left
  • C. Data is symmetric
  • D. Data is uniform
Q. In a data set, if the mean is 50 and the median is 45, what can be inferred about the data?
  • A. Skewed right
  • B. Skewed left
  • C. Symmetric
  • D. Uniform
Q. In a data set, if the mean is 50 and the sum of all values is 500, how many values are there?
  • A. 8
  • B. 9
  • C. 10
  • D. 11
Q. In a data set, if the mode is 15 and the mean is 20, what can be said about the data?
  • A. Positively skewed
  • B. Negatively skewed
  • C. Symmetrical
  • D. Uniform
Q. In a data set, if the values are 2, 4, 4, 4, 5, 5, 7, what is the mode?
  • A. 4
  • B. 5
  • C. 2
  • D. 7
Q. In a data set, the mean is 10 and the standard deviation is 2. What is the coefficient of variation?
  • A. 20%
  • B. 10%
  • C. 5%
  • D. 15%
Q. In a data set, the mean is 20 and the median is 18. What can be inferred about the data?
  • A. Skewed right
  • B. Skewed left
  • C. Symmetric
  • D. Uniform
Q. In a data set, the mean is 20 and the median is 18. What can be said about the data?
  • A. Positively skewed
  • B. Negatively skewed
  • C. Symmetrical
  • D. Uniform
Q. In a data set, the mean is 20 and the standard deviation is 4. What is the coefficient of variation?
  • A. 20%
  • B. 15%
  • C. 10%
  • D. 5%
Q. In a data set, the mean is 50 and the number of observations is 10. What is the sum of all observations?
  • A. 400
  • B. 500
  • C. 600
  • D. 700
Q. In a data set, the values are: 1, 2, 3, 4, 5. What is the interquartile range?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. In a deck of 52 cards, what is the probability of drawing a heart given that the card drawn is a red card?
  • A. 1/2
  • B. 1/4
  • C. 1/3
  • D. 1/5
Q. In a deck of cards, what is the probability of drawing a heart given that the card drawn is a red card?
  • A. 1/2
  • B. 1/4
  • C. 1/3
  • D. 1/5
Q. In a diffraction grating, if the number of slits is increased, what happens to the angular width of the principal maxima?
  • A. Increases
  • B. Decreases
  • C. Remains the same
  • D. Becomes zero
Q. In a diffraction grating, if the number of slits is increased, what happens to the intensity of the maxima?
  • A. Increases
  • B. Decreases
  • C. Remains the same
  • D. Becomes zero
Q. In a diffraction grating, if the number of slits is increased, what happens to the sharpness of the maxima?
  • A. Sharpness increases
  • B. Sharpness decreases
  • C. No effect
  • D. Maxima disappear
Q. In a diffraction grating, what is the relationship between the angle of diffraction and the order of the maximum?
  • A. Directly proportional
  • B. Inversely proportional
  • C. Independent
  • D. Exponential
Q. In a diffraction pattern, how does the intensity of the maxima compare to the minima?
  • A. Maxima are always brighter than minima
  • B. Minima have the same intensity as maxima
  • C. Minima are always darker than maxima
  • D. Intensity is uniform throughout
Q. In a diffraction pattern, if the first minimum occurs at an angle of 30°, what is the ratio of the slit width to the wavelength?
  • A. 1:2
  • B. 1:√3
  • C. √3:1
  • D. 2:1
Q. In a diffraction pattern, the intensity of the central maximum is how many times that of the first minimum?
  • A. Zero
  • B. One
  • C. Infinity
  • D. Two
Q. In a diffraction pattern, the intensity of the central maximum is typically:
  • A. Zero
  • B. Minimum
  • C. Maximum
  • D. Constant
Q. In a diffraction pattern, what does the intensity of the central maximum depend on?
  • A. Wavelength only
  • B. Slit width only
  • C. Both wavelength and slit width
  • D. Distance from the slit
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