Integrate $\frac{{{{\rm{x}}^2}}}{{{{\rm{x}}^4} - 2{{\rm{x}}^2} - 15}}$
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Class 12 QAD
In a partially destroyed laboratory record of an analysis of regression data, the following data are legible: Variance of X = 9 Regression equations: 8x − 10y + 66 = 0 and 40x − 18y = 214. Find based on above information The mean values of X and Y. Correlation coefficient between X and Y. Standard deviation of Y.
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If from a point P (a, b, c) perpendiculars PA and PB are drawn to yz and zx-planes, then find the vector equation of the plane OAB.
Solution: Point P is (a, b, c) PA ⊥ y z-plane and PB ⊥ z x-plane. ∴ A is (0, b, c) and B is (a, 0, c) We are to find the equation of plane thro…
What happens when hcl gas is passed through a saturated solution of NaCl and why?
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Obtain expressions for the instantaneous kinetic energy potential energy & total energy of a simple harmonic oscillator.
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Does Lenz law follow the principle of conservation of energy? Explain
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A circular metal disc of area $3×10^-3 m^2$ is rotated at 50 rev/s about an axis through its center perpendicular to its plane. The disc is in a uniform magnetic field of flux density $5×10 ^-3T$ in the direction of the axle. What is the value of induced EMF?
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If beams of electrons and protons having the same kinetic energy normally enter an electric field, which beam will be more deviated?
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An air-core solenoid having a diameter of 4cm and of length 60cm is wound with 4000 turns. find the inductance of the solenoid. what will be the inductance of the solenoid if it has an iron core of relative permeability of 400?
Solution: Length(l)=60cm=0.6m Radius (r)=$\frac{4}{2}$cm= $2 \times {10^{ - 2}}$m ${\mu _r}$=400 Inductance of solenoid , $\begin{array}{l}L = {\mu…
What happens if a falling drop suddenly experiences no net Force in the vertical path. What type of forces apply during the Instant of falling of a drop in the viscous Fluid? What is the condition of upward terminal Velocity of oil drop in Millikan's oil drop experiment?
Question picked from our Telegram Group . Solution: If a falling drop experiences no net force, it will fall at a constant speed known as the termina…
Millikan oil drop experiments utilize electric fields in a viscous fluid to analyze the speed of charge.
Question Picked from our Telegram Group. Solution: Yes. Millikan oil drop experiment measures the charge on tiny oil droplets suspended in an elect…
The two regression lines were found to be 4X – 5Y + 33 = 0 and 20X – 9Y – 107 = 0. Find the mean values and coefficient of correlation between X and Y.
Question Collected From Telegram Group. Solution: To get mean values we must solve the given lines. 4X – 5Y = -33 … (1) 20X – 9Y = 107 … (2) …
At 25°, Ionization constant of $CH_3COOH$ is $1.8 × 10^-5$ for 2M $CH_3COOH$ solution calculate,
Question: At 25 0 , Ionization constant of CH 3 COOH is 1.8 x 10 -5 for 2M CH 3 COOH solution calculate, (a) Degree of ionization (b) Molar C…
Define control structure. Write a C program to find the sum, difference and greater of two integer numbers using switch case statement.
Solution: Control structures are fundamental building blocks of programming and allow programs to make decisions and repeat actions based on various…
Find the differential equation of the family of curves $y = A{e^{2x}} + B{e^{ - 3x}}$, where A and B are arbitrary constants.
Question: Find the differential equation of the family of curves $y = A{e^{2x}} + B{e^{ - 3x}}$, where A and B are arbitrary constants. Solution : Gi…