1
VITEEE 2022
MCQ (Single Correct Answer)
+1
-0

If an object of height $$6 \mathrm{~cm}$$ is viewed through a liquid of refractive index $$\frac{4}{3}$$ vertically at a depth of $$10 \mathrm{~cm}$$. Then what will be its apparent height and apparent distance from the surface of liquid.

A
Same height, $$7.5 \mathrm{~cm}$$
B
$$2.5 \mathrm{~cm}, 4 \mathrm{~cm}$$
C
$$2.5 \mathrm{~cm}, 8 \mathrm{~cm}$$
D
$$8 \mathrm{~cm}, 18 \mathrm{~cm}$$
2
VITEEE 2022
MCQ (Single Correct Answer)
+1
-0

The half-life period of a radioactive element $$x$$ is same as the mean life time of another radioactive element $$y$$. Initially, both of them have the same number of atoms. Then,

A
$$x$$ and $$y$$ have the same decay rate initially
B
$$x$$ and $$y$$ decay at the same rate always
C
$$y$$ will decay at a faster rate than $$x$$
D
$$x$$ will decay at a faster rate than $$y$$
3
VITEEE 2022
MCQ (Single Correct Answer)
+1
-0

One end of a spring of force constant $$k$$ is fixed to a vertical wall and other to a body of mass $$m$$ resting on a smooth horizontal surface. There is another wall at a distance $$x_0$$ from the body. The spring is then compressed by $$2 x_0$$ and released. The time taken to stike the wall is

A
$$\frac{\pi}{6} \sqrt{\frac{m}{k}}$$
B
$$\sqrt{\frac{m}{k}}$$
C
$$\frac{2 \pi}{3} \sqrt{\frac{m}{k}}$$
D
$$\frac{\pi}{4} \sqrt{\frac{m}{k}}$$
4
VITEEE 2022
MCQ (Single Correct Answer)
+1
-0

A particle of mass $$m$$ is moving in a horizontal circle of radius $$r$$ under a centripetal force given by $$\left(-k / r^2\right)$$, where $$k$$ is a constant. Then

A
the total energy of the particle is $$(-k / 2 r)$$
B
the kinetic energy of the particle is $$(k / r)$$
C
the potential energy of the particle is $$(k / 2 r)$$
D
the kinetic energy of the particle is $$(-k / r)$$
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