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Cube of odd natural number is number A . odd B. even c. negative D. prime
2
Maths
A bullet is fired at a target with a velocity \( 80 \mathrm{m} / \mathrm{s} \) and penetrates \( 50 \mathrm{cm} \) into it. If this bullet were fired into a target \( 25 \mathrm{cm} \) thick with equal velocity, with what velocity would it emerge, supposing the resistance to be uniform and the same in both the cases? A. \( \sqrt{80} \mathrm{m} / \mathrm{s} \) в. \( \frac{40}{\sqrt{2}} m / s \) c. \( 40 m / s \) D. \( 40 \sqrt{2} \mathrm{m} / \mathrm{s} \)
3
Physics
What will be the major product when 2 - amino propane is treated with nitrous acid? A. \( 1- \) Propanol B . \( 2- \) Propanol c. Propene D. Cyclopropane
1
Chemistry
Which of the following process is not responsible for the presence of electric charge on the sol particles? A. Electron capture by sol particles B. Adsorption of ionic species from solution C. Formation of Helmholtz electrical double layer D. Absorption of ionic species from solution
1
Chemistry
Differentiate the following functions with respect to \( \boldsymbol{x} \) \( \sin ^{-1}\left\{\frac{\sin x+\cos x}{\sqrt{2}}\right\}, \frac{\pi}{4}<x<\frac{3 \pi}{4} \)
2
Maths
Which element among the Lanthanides has the smallest atomic radius? A. Cerium B. Lutetium c. Europium D. Gadolinium.
1
Chemistry
What is the correct name of \( I F_{7} ? \) A. Iron heptafluoride B. lodine heptafluoride c. lodine septafluoride D. Iron (IV) septafluoride
1
Chemistry
Find the intervals in which the following functions are increasing or decreasing \( f(x)=10-6 x-2 x^{2} \)
2
Maths
n which of the following cases the pairs of triangles are similar? Write the similarity criterion used by you for answering the question and also write the pairs of similar triangles in the symbolic form
2
Maths
If \( g \) is the acceleration due to gravity on the Earth' surface, find the gain in potential energy of a body of mass \( m \) when taken from the surface of Earth at a height equal to the radius \( R \) of the Earth.
3
Physics
Write the middle terms in the expansion of \( \left(\frac{3 x}{7}-2 y\right)^{10} \)
2
Maths
How many triangles can be drawn having its angles as \( 53^{\circ}, 64^{\circ} \) and \( 63^{\circ} ? \) \( \mathbf{A} \cdot \mathbf{1} \) B. 2 c. None D. More than 2
2
Maths
\( \mathbf{A} \) 1 kg body slides from the point \( A \) (see figure), along a horizontal track with an initial speed of \( 6 m s^{-1}, \) towards a weightless horizontal spring of length \( 2 m \) and force constant \( 4 N m^{-1} \). The part \( A B \) of the track is frictionless and the part \( B C \) has the coefficients of static and dynamic friction as 0.22 and \( 0.2, \) respectively. Find the total distance through which the block moves, before it comes to rest completely \( .(g= \) \( 10 m s^{-2} \) ), if \( A B=4 m \) and \( B D= \) \( \mathbf{4 . 2 8 m} \)
3
Physics
Which of the following is correct for the given structure? A. These are small structures which work like oars B. It is covered with plasma membrane C. Its core is called axoneme D. All of these
0
Biology
Simplify:\( \int x \ell n \sqrt{x} d x \)
2
Maths
Number of teeth which are monophyodont in man are A . 4 B. 22 c. 32 D. 12
0
Biology
The angular momentum of an electron in an orbit is quantized because it is a necessary condition for the compatibility with A. Wave nature of electron B. Particle nature of electron c. Pauli's exclusion behaviour D. None of these
3
Physics
What is Short Sightedness?
3
Physics
Which of the following is not a property of an ionic compound? A. Soft and flexible B. Hard and brittle c. crystal lattice structure D. Conducts electricity when dissolved in water E. Good insulator when solid
1
Chemistry