1
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

A particle of mass $$10 \mathrm{~kg}$$ moving eastwards with a speed $$10 \mathrm{~m} / \mathrm{s}$$ collides with another particle of the same mass moving northward with the same speed $$10 \mathrm{~m} / \mathrm{s}$$. The two particles coalesce on collision. The new particle of mass $$20 \mathrm{~kg}$$ will move in the north-east direction with velocity.

A
$$10 \mathrm{~m} / \mathrm{s}$$
B
$$5 \mathrm{~m} / \mathrm{s}$$
C
$$10 / \sqrt{2} \mathrm{~m} / \mathrm{s}$$
D
None
2
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

A radioactive element $$X$$ convents into another stable element $$Y$$. Half-life of $$X$$ is 2 hrs. Initially only $$X$$ is present. After time $$t$$, the ratio of atoms of $$X$$ and $$Y$$ is found to be $$1: 4$$, then $$t$$ in hours is

A
2
B
4
C
between 4 and 6
D
6
3
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

A coil 10 turns and a resistance of $$40 \Omega$$ is connected in series with B.G. of resistance $$30 \Omega$$. The coil is placed with its plane perpendicular to the direction of a uniform magnetic field of induction $$10^{-2} \mathrm{~T}$$. If it is now turned through an angle of $$60^{\circ}$$ about on axis in its plane. Find the charge indicted in the coil. (Area of a coil $$=10^{-2} \mathrm{~m}^2$$ )

A
$$2 \times 10^{-5} \mathrm{C}$$
B
$$3.2 \times 10^{-5} \mathrm{C}$$
C
$$0.714 \times 10^{-5} \mathrm{C}$$
D
$$55 \times 10^{-5} \mathrm{C}$$
4
VITEEE 2023
MCQ (Single Correct Answer)
+1
-0

A geostationary satellite is orbiting the Earth at a height of $$4 R$$ above that surface of the Earth. $R$ being the radius of the earth. The, time period of another stellite in coins at a height of $$2 R$$ from the surface of the Earth is.

A
$$2 T_1$$
B
$$2 \sqrt{2} T_1$$
C
$$T_1 / 2$$
D
$$T_1 / 2 \sqrt{2}$$
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