The equation of the line perpendicular to 2x – 3y + 5 = 0 and making an intercept 3 with positive Y-axis is
What is standard reduction potential of Cu2+ | Cu(s) if E° of following cell is 0.46V ? Cu(s) | Cu2+(aqs) || Ag+(aq) | Ag(s) ( Eo = 0.80V)
What is the density of water in kgdm–3 if its density in gcm–3 is 0.863?
Which among the following reactions does NOT form alkyl halides?
Three isolated metal spheres A, B, C have radius R, 2R, 3R respectively, and same charge Q. UA, UB and UC be the energy density just outside the surface of the spheres. The relation between UA, UB and UC is
For three simple statements p, q, and r, p → (q ˅ r) is logically equivalent to
Calculate the wave number of photon emitted during the transition from the orbit n=2 to n = 1 in hydrogen atom (RH = 109677 cm–1)
In metre bridge experiment, null point is obtained at 20 cm from left end of the wire, when resistance X is balanced against another resistance Y (X < Y). To balance a resistance 4 X against Y, the new position of the null point from the same end will be
Time required for completion of 90% of a first order reaction is ‘t’. What is the time required for completion of 99.9%of the reaction?
With reference to the principal values, if sin-1x + sin-1y + sin-1z = \(\frac {3π}{2}\), then x100 + y100 + z100 =?
If the standard deviation of first n natural numbers is 2, then the value of n is
lim(x→0)\((\frac {1+tanx}{1+sinx})^{cosec x}\) = ?
What is the quantity of sugar charcoal obtained when 34.2 g sugar is charred using required quantity of conc. sulphuric acid under ideal conditions?
If \(\int \frac {2e^x + e^x}{3e^x + 4e^{-x}} \,dx\) = Ax + Blog( 3e2x + 4) + C, then values of A and B are respectively (where C is a constant of integration.)
To a bird in air, a fish in water appears to be at 30 cm from the surface. If refractive index of water with respect to air is \(\frac {4}{3}\) ,the real distance of bird from the surface is
If matrix A =\(\begin{bmatrix} 1 & 2 \\ 4 & 3 \end{bmatrix}\) is such that AX = I, where I is 2 x 2 unit matrix, then X =
A metal disc of radius ‘R’ rotates with an angular velocity ‘ω’ about an axis perpendicular to its plane passing through its centre in a magnetic field of induction ‘B’ acting perpendicular to the plane of the disc. The induced e.m.f. between the rim and axis of the disc is (magnitude only)
If ‘N’ is the number of turns in a circular coil, the value of its self-inductance varies as
Calculate the number of atoms in 20 gram metal which crystallises to simple cubic structure having unit cell edge length 340 pm. (density of metal = 9.8 gcm–3)
If xy = e(x – y) , then \(\frac {dy}{dx}\) =?
If y = sec–1\((\frac {x + x^{-1}}{x - x^{-1}})\), then \(\frac {dy}{dx}\) =?