# Recent questions tagged q110

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### The foci of a hyperbola coincide with the foci of the ellipse $\large\frac{x^2}{25}+\frac{y^2}{9}$$=1.Find the equation of the hyperbola if its ecentricity is 3? ### Sum of n terms of series S = 1 + 2 \;(1+\frac{1}{n}) + 3(1+\frac{1}{n})^2 + ....is given by ### The vapours of Hg absorb some electrons accelerate by a potential difference of 4.5volts as a result of which light is emitted .If the full energy of single incident electron is supposed to be converted into light emitted by single Hg atom,find the wave number \big(\large\frac{1}{\lambda}\big) of the light. ### If \overrightarrow a,\overrightarrow b,\overrightarrow c are any three vectors such that \overrightarrow a=\overrightarrow b+\overrightarrow c and \overrightarrow b is \perp to \overrightarrow c, then ? ### f(x) and g(x) are two differentiable function on [0,2] such that f''(x)-g''(x)=0. f'(1)=2g'(1)=4f(2)=3g(2)=9 then f(x)-g(x) at x=\large\frac{3}{2} is ### Integrate : \int e^{ \log a }. x^e. dx ### Celulose is the major componet of cell walls of : ### Four charges of magnitude - 'Q' are placed at the four corners of a square and a charge 'q' is at its centre. If the system is in equilibrium the value of 'q' is : ### Consider a parallel plate capacitor of capacity 10 \mu\: F filled with air. When the gap between the plates is filled partly with a dielectric constant 4, as shown in figure.The new capacity of the capacitor is ( A is the area of plates ) : ### If the liquid in a U tube rises to a high level in the limb placed between poles of an electromagnet, then the liquid is ### Two charges +q and -q are kept apart. Then at any point on the right bisector of line joining the two charges. ### The following series L-C-R circuit, when driven by an e.m.f source of angular frequency 70 Kilo-radius per second, the circuit effectively behaves like : ### The temperature at the two ends A and B of a rod of length 25 cm and circular cross section are 100^{\circ}C \: and \: 0^{\circ}C respectively. In the steady state the temperature at a point 10 cm from the end B is ( Ignore loss of heat from curved surface of the rod ) ### Two capacitors of capacities 1 \; \mu F and C \;\mu F are connected in series and the combination is charged to a potential difference of 120 \;V If the charge on the combination is 80\; \mu C, the energy stored in the capacitor of capacity C in micro- Joules is : ### In the Young's double slit experiment, the resultant intensity at a point on the screen is 75 \% of the maximum intensity of the bright fringe. Then the phase difference between the two interfering rays at that point is : ### In the circuit shown in the figure, the current 'I' is ### Which of the following is a tautology? ### The angle between the asymptotes to the hyperbola \large\frac{x^{2}}{16}-\frac{y^{2}}{9}=$$1$ is

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