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Q:
The temperature of a gas is -50° C. To what temperature the gas should be heated so that the rms speed is increased by 3 times?
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Q:
Let $A = \begin{bmatrix} 1 & a & a \\ 0 & 1 & b \\ 0 & 0 & 1\end{bmatrix}, a , b \in R$. 
If for some $n \in N , A ^{ n }=\begin{bmatrix}1 & 48 & 2160 \\ 0 & 1 & 96 \\ 0 & 0 & 1\end{bmatrix}$ 
then $n + a + b$ is equal to _________.
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Q:
If 8 g of a non-electrolyte solute is dissolved in 114 g of n-octane to reduce its vapour pressure to 80%, the molar mass (in g mol-1) of the solute is
[Given that the molar mass of n-octane is 114 g mol-1.]
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Q:
The range of the function $f(x)=\sqrt{3-x}+\sqrt{2+x}$ is:
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Q:
A car moving with a speed of 40 km/h can be stopped by applying brakes after at least 2 m. If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance?
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Q:
A driver of a car travelling at \(52\) \(km \;h^{–1}\) applies the brakes Shade the area on the graph that represents the distance travelled by the car during the period. (b) Which part of the graph represents uniform motion of the car?
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Q:
A horizontal bridge is built across a river. A student standing on the bridge throws a small ball vertically upwards with a velocity \(4\ ms^{-1}\). The ball strikes the water surface after \(4s\). The height of bridge above water surface is
(Take: \(g=10\ ms^{-2}\))
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Q:
A bullet is fired from a gun at the speed of 280 ms-1 in the direction 30° above the horizontal. The maximum height attained by the bullet is
(g = 9.8 ms-2, sin 30° = 0.5)
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Q:
1.0 g of magnesium is burnt with 0.56 g O2 in a closed vessel. Which reactant is left in excess and how much? (At. wt. Mg = 24 ; O = 16)
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Q:
A metal wire has mass (0.4±0.002)g, radius (0.3±0.001)mm and length (5±0.02)cm. The maximum possible percentage error in the measurement of density will nearly be:
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Q:
Number of molecules and moles in 2.8375 litre of O2 at STP.
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Q:
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: Helium is used to dilute oxygen in diving apparatus.
Reason R: Helium has high solubility in O2.
In the light of the above statements, choose the correct answer from the options given below.
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Q:
Two spherical bodies of mass M and 5M and radii R and 2R are released in free space with initial separation between their centres equal to 12 R. If they attract each other due to gravitational force only, then the distance covered by the smaller body before collision is
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Q:
The percentage of pyridine (C5H5N) that forms pyridinium ion (C5​H5​N+H) in a 0.10 M aqueous pyridine solution (Kb​ for C5H5N = 1.7×10−9) is
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Q:
Define the term solution. How many types of solutions are formed? Write briefly about each type with an example.
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Q:
If the function$f(x)=\begin{cases}(1+|\cos x|) \frac{\lambda}{|\cos x|} & , 0 < x < \frac{\pi}{2} \\\mu & , \quad x=\frac{\pi}{2} \\\frac{\cot 6 x}{e^{\cot 4 x}} & \frac{\pi}{2}< x< \pi\end{cases}$is continuous at $x=\frac{\pi}{2}$, then $9 \lambda+6 \log _{ e } \mu+\mu^6- e ^{6 \lambda}$ is equal to
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Q:
Young’s modulus of elasticity 𝑌 is expressed in terms of three derived quantities, namely, the gravitational constant 𝐺, Planck’s constant ℎ and the speed of light 𝑐, as 𝑌 = 𝑐𝛼ℎ𝛽𝐺𝛾. Which of the following is the correct option?
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Q:

A bullet from a gun is fired on a rectangular wooden block with velocity u. When the bullet travels 24 cm through the block along its length horizontally, velocity of the bullet becomes \(\frac{u}{3}\).Then it further penetrates into the block in the same direction before coming to rest exactly at the other end of the block. The total length of the block is

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