A particle moves in a straight line with constant acceleration. It covers 10 m in the 4th second and 12 m in the 5th second. What is its acceleration?
Physics
Question · Easy
Cruise the loop: a log is an exponent
Short
A block of mass 2 kg is placed on a rough horizontal surface. A force of 10 N applied horizontally just moves it. What is the coefficient of static friction? (Take g = 10 m/s²)
Question · Medium
A body is projected with velocity 20 m/s at 60° to the horizontal. What is its maximum height? (g = 10 m/s²)
Two point charges of +4 μC and -4 μC are placed 0.2 m apart. What is the electric dipole moment of this system?
A converging lens has focal length 20 cm. An object is placed 30 cm from it. Where is the image formed?
Spell it right?
The de Broglie wavelength of an electron accelerated through a potential difference of 100 V is approximately:
Question · Hard
A wire of resistance R is stretched uniformly so that its length doubles. What is its new resistance?
A simple pendulum of length L has time period T on Earth. What is its time period on the Moon, where g is 1/6 of Earth's?
Two resistors of 6 Ω and 3 Ω are connected in parallel. What is their equivalent resistance?
A satellite is orbiting Earth at a height equal to the Earth's radius R. What is its orbital velocity? (g is surface gravity, R is Earth's radius)
The half-life of a radioactive substance is 20 minutes. After 1 hour, what fraction of the original substance remains?
A solenoid of length 0.5 m carries a current of 2 A and has 1000 turns. The magnetic field inside it (μ₀ = 4π × 10⁻⁷ T·m/A) is approximately:
An ideal gas undergoes an isothermal expansion. What is the change in its internal energy?
Light of wavelength 600 nm is incident on a single slit of width 0.1 mm. The angular width of the central maximum is approximately:
A capacitor of 10 μF is charged to 100 V. The energy stored in it is:
A particle executes SHM with amplitude A and angular frequency ω. Its maximum velocity is:
Two coherent monochromatic sources interfere on a screen. If the intensity at maxima is I_max and at minima is I_min = 0, what is the ratio of amplitudes of the two waves?
What is the work function (in eV) of a metal if the threshold wavelength is 600 nm? (h = 6.6 × 10⁻³⁴ J·s, c = 3 × 10⁸ m/s, 1 eV = 1.6 × 10⁻¹⁹ J)
A car of mass 1000 kg is moving at 20 m/s. The brakes are applied and it stops in 50 m. What is the magnitude of the braking force?
A monatomic ideal gas is heated at constant pressure. What fraction of the supplied heat is used to do work against the surroundings?
The angle of contact for mercury on clean glass is approximately:
A transformer has 100 turns in the primary and 500 in the secondary. If 220 V AC is applied to the primary, what is the secondary voltage (assuming ideal)?
A body of mass 0.5 kg is moving in a circle of radius 2 m with constant speed 4 m/s. What is the magnitude of the centripetal force?
The number of atoms in 1.6 g of oxygen gas (O₂) is approximately: (Atomic mass of O = 16, N_A = 6.022 × 10²³)
Chemistry
Which of the following ions has the smallest ionic radius?
What is the hybridization of carbon in ethyne (C₂H₂)?
Which of the following has the highest boiling point?
The pH of a 0.001 M HCl solution is:
Which of the following is an example of an aldol condensation product?
The IUPAC name of (CH₃)₂CHCH(OH)CH₃ is:
Which of the following compounds gives a positive iodoform test?
The number of unpaired electrons in Fe³⁺ (Z = 26) is:
For the reaction N₂(g) + 3H₂(g) ⇌ 2NH₃(g) at equilibrium, increasing pressure will:
Among the halogens, which is the strongest oxidizing agent?
Which of the following will undergo SN1 reaction most rapidly?
The freezing point of a solution made by dissolving 5 g of NaCl in 100 g of water will be depressed by approximately: (K_f for water = 1.86 K·kg/mol, M of NaCl = 58.5)
Which coordination compound shows geometric (cis-trans) isomerism?
The order of the reaction whose rate law is rate = k[A]²[B] is:
Glucose and fructose are an example of:
What is the standard cell potential of the cell Zn|Zn²⁺||Cu²⁺|Cu? (E° for Zn²⁺/Zn = −0.76 V, E° for Cu²⁺/Cu = +0.34 V)
Which gas evolves when sodium bicarbonate (NaHCO₃) reacts with dilute HCl?
The major product when 1-butene reacts with HBr in the absence of peroxide is:
Which polymer is formed by the condensation of hexamethylenediamine and adipic acid?
The hybridization of sulfur in SF₆ is:
Which of the following amino acids contains sulfur?
If A = {1, 2, 3} and B = {3, 4, 5}, then A ∪ B has how many elements?
Mathematics
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