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A spaceship in space sweeps stationary interplanetary dust.

A spaceship in space sweeps stationary interplanetary dust. As a result, its mass increases at a rate [dM (t)] / dt = bv2 (t), where v(t) is its... View Article

Ten charges are placed on the circumference of a circle of radius R

Ten charges are placed on the circumference of a circle of radius R with constant angular separation between successive charges. Alternate... View Article

In an experiment to verify Stokes law

In an experiment to verify Stokes law, a small spherical ball of radius r and density falls under gravity through a distance h in the air before... View Article

The correct match between the entries in column I and column II are

The correct match between the entries in column I and column II are: I II Radiation Wavelength (a) Microwave... View Article

A ring is hung on a nail. It can oscillate, without slipping or sliding

A ring is hung on a nail. It can oscillate, without slipping or sliding (i) in its plane with a time period T1 and, (ii) back and forth in a... View Article

The total number of coordination sites in ethylenediaminetetraacetate (EDTA^4–) is

Solution: (6) EDTA4– is hexadentate ligand. The total number of coordination sites in ethylenediaminetetraacetate is 6.... View Article

An oxidation-reduction reaction in which 3 electrons are transferred has a ΔGº of 17.37 kJmol^–1 at 25⁰C. The value of E⁰_cell (in V) is ______ × 10^–2. (1 F = 96,500 C mol^–1)

Solution: (6) ΔG° = –nFE° 17.37 × 1000 = –3 × 96500 × E° E° = 17370/(3x96500) E° =... View Article

A soft drink was bottled with a partial pressure of CO₂

A soft drink was bottled with a partial pressure of CO2 of 3 bar over the liquid at room temperature. The partial pressure of CO2 over the... View Article

The number of chiral carbon(s) present in piptide, Iie-Arg-Pro, is

Solution:(4) The number of chiral carbons is 4.... View Article

The minimum number of moles of O₂ required for complete combustion of 1 mole of propane and 2 moles of butane is

Solution: Total required mol of O2 = 5 + 13 = 18... View Article

Consider the following reactions:

Consider the following reactions:'x', 'y' and 'z' in these reactions are respectively.a) 4, 5 & 5b) 5, 4 & 5c) 5, 6 & 5d) 4, 6 &... View Article

The statement that is not true about ozone is:

a) in the stratosphere, it forms a protective shield against UV radiation.b) in the atmosphere, it is depleted by CFCs.c) in the stratosphere,... View Article

The increasing order of the following compounds towards HCN addition is:

The increasing order of the following compounds towards HCN addition is:a) (iii) < (i) < (iv) < (ii)b) (iii) < (iv) < (i) <... View Article

The value of the integral ∫₀^π |sin 2x| dx is

I = ∫0π |sin 2x| dx= 2 ∫0π/2 |sin 2x| dx = 2 ∫0π/2 sin 2x dx= 2 [- cos (2x) / 2]0π/2= 2... View Article

The sum of 162^th power of the roots of the equation x³ – 2x² + 2x – 1 = 0 is

Let roots of x3 - 2x2 + 2x - 1 = 0 be ɑ, β, γ.(x3 - 1) - (2x2 - 2x) = 0(x - 1) (x2 - x + 1) = 0x = 1, - , - 2Now, ɑ162 + β162 +... View Article

The difference between degree and order of a differential equation that represents the family of curves given by y² = a (x + (√a / 2)), a > 0 i

y2 = a (x + (√a / 2))Differentiating w.r.t.2yy’ = ay2 = 2yy’ [x + (√2yy’ / 2)]y = 2y’ [(x + √yy’... View Article

Let (λ, 2, 1) be a point on the plane which passes through the point (4, – 2, 2). If the plane is perpendicular to the line joining the points (– 2, – 21, 29) and (– 1, – 16, 23), then (λ / 11)² – (4λ / 11) – 4 is equal to

Let (λ, 2, 1) be a point on the plane which passes through the point (4, – 2, 2). If the plane is perpendicular to the line joining... View Article

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