Which Of The Following Is Not A Bird? (A) Pavo (B) Struthio (C) Columba (D) Testudo
The correct answer is (D) Testudo (A) Pavo (peacock) is a genus of birds (B) Struthio (ostrich) is a genus... View Article
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What Do You Observe When Blue Vitriol Is Heated?
Blue vitriol refers to a crystalline copper sulphate, which comprises five molecules of water and molecules of water of crystallisation.... View Article
The 19Th Century Faraizi Movement In Eastern Bengal Developed Under The Leadership Of ____________.
Haji Shariat Ullah Haji Shariat Ullah was a prominent religious reform and Islamic scholar movement in the 19th century for... View Article
Which Type Of Bond Is Present In H2S Molecule? (A) Ionic Bond (B) Covalent Bond (C) Co-ordinate Bond (D) All Of These
The correct answer is (B) Covalent Bond Electronic configuration of sulphur (S) = 1s^{2}, 2s^{2}, 2p^{6}, 3s^{2}, 3p^{4} Sulphur has... View Article
The vernier scale of a travelling microscope has 50 divisions which coincide with 49 main scale divisions if each main scale division is 05 mm. Calculate the minimum inaccuracy in the measurement of distance.
The least count = \(\begin{array}{l} \frac{1}{50} \end{array} \) Therefore, the precision in measurements = \(\begin{array}{l} \frac{1}{50} * 0.5 mm =... View Article
An Umbrella Is Made By Stitching 12 Triangular Pieces Of Cloth. Each Piece Measures 50Cm, 20Cm And 50Cm, Find The Area Of The Cloth Used In It.
Given, an umbrella is made of 12 triangular pieces each measuring 50 cm, 20 cm, 50 cm. The area of... View Article
A coil of inductance 0.5 h and a resistor of resistance 100ω are connected in series to a 240v,50 hz supply. (a) find the maximum current in the circuit (b) what is the time lag between voltage maximum and current maximum?
Given: Inductance, L = 0.5H Resistance, R = \(\begin{array}{l} 100\Omega \end{array} \) RMS voltage, \(\begin{array}{l} V_{rms} = 240V \end{array} \)... View Article
A certain mass of gas is expanded from (1L,10 Atm) to (4L,5 Atm) against a constant external pressure of 1 Atm. If the initial temperature of the gas is 300 K and the heat capacity of the process is 50 J/∘ C. Then the enthalpy change during the process Is: (1L Atm≃100 J).
For state 1 PV = nRT 1 * 10 = n(0.0821)(300) n = 0.4 For state 2 PV = nRT... View Article
Simplify a (a2 + a + 1) + 5 and find its value for (i) a = 0 (ii) a = 1 (iii) a = − 1
The given expression is \(\begin{array}{l}\begin{array}{l} a\left(a^{2}+a+1\right)+5=a \times a^{2}+a \times a+a \times 1+5 \\ =a^{3}+a^{2}+a+5 \\ \text { (i) For }... View Article
Find the value of sin 35 cos 55 + cos 35 sin 55.
The given expression is \(\begin{array}{l}\begin{array}{l} \sin 35^{0} \cos 55^{\circ}+\cos 35^{\circ} \sin 55^{0}\\=\sin 35^{0} \cos \left(90^{\circ}-35^{0}\right)+\cos 35^{\circ} \sin \left(90^{\circ}-35^{0}\right) \\ =\sin... View Article
The area of 4 walls of a cuboid is 448 sq. cm, its length is 18 cm and height is 8 cm. What is its breadth (in cm)?
Let b, h and l be breadth, height and length respectively. 2bh + 2lh = 448 8b + 18 ×... View Article
The number of perfect squares between 1 to 100 natural numbers are
The number of perfect squares between 1 to 100 natural numbers is 9.
Fill in the blank: The sum of the measure of the supplementary angle is
The sum of the measure of the supplementary angle is 180o.
Solve the equations 2x4 + x3 – 6x2 + x + 2 = 0.
The given equation is \(\begin{array}{l}2 x^{4}+x^{3}-6 x^{2}+x+2=0\\ \text { Dividing by } \mathrm{x}^{2}, \Rightarrow 2 x^{2}+x-6+\frac{1}{x}+\frac{2}{x^{2}}=0\\ \Longrightarrow 2\left(x^{2}+\frac{1}{x^{2}}\right)+\left(x+\frac{1}{x}\right)-6=0 \Longrightarrow 2\left(x+\frac{1}{x}\right)^{2}+\left(x+\frac{1}{x}\right)-10=0\\... View Article
Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
The seats for Maths : Physics : Biology = 5 : 7 : 8 Let the number of seats in... View Article
Prove that (cos x + cos y)2 + (sin x – sin y)2 = 4 {cos2 [x + y] / 2}.
Consider the LHS of the expression given. \(\begin{array}{l}\begin{array}{l} \text { L.H.S. }=(\cos x+\cos y)^{2}+(\sin x-\sin y)^{2} \\ =\cos ^{2} x+\cos... View Article
Raju is 22 years old and Ramu is 19 years old. Write the difference of their ages in the Roman system.
Raju is 22 years old and Ramu is 19 years old. Difference between Raju’s age and Ramu’s age = 22... View Article
Calculate the number of factors of 28.
Factors of 28: 1, 2, 4, 7, 14 and 28. There are 6 factors for the number 28.
If cos x + cos2 x = 1, then prove that sin2 x + sin4 x = 1.
It is given that \(\begin{array}{l}\cos x+\cos ^{2} x=1\\ \Rightarrow \cos x=1-\cos ^{2} x\\ \Rightarrow \cos x=\sin ^{2} x\\ \text {Squaring... View Article
Differentiate the following w.r.t. x: cosec-1 (e-x).
Answer: Let y = cosec–1(e–x) Differentiate the above equation with respect to x, we get \(\begin{array}{l}\frac{dy}{dx}=\frac{d}{dx}\left[{cosec}^{-1}\left({e}^{-{x}}\right)\right]\end{array} \). ⇒ \(\begin{array}{l}\frac{-1}{{e}^{-{x}} \sqrt{\left({e}^{-{x}}\right)^{2}-1}}... View Article
