The amount of work done to raise a mass ' $m$ ' from the surface of the Earth to a height equal to the radius of the Earth ' $R$ ' will be
$2 m g R$
$m g \frac{R}{4}$
$m g R$
$m g \frac{R}{2}$
Each side of a metallic cube of mass 5.580 kg is measured to the 9.0 cm . Keeping the significant figures in view, the density of the material of the cube can be best expressed as $X \times 10^3 \mathrm{~kg} \mathrm{~m}^{-3}$ where the value of $X$ is:
7.654
7.6
7.65
7.7
The following plots show variation of velocity $(v)$ with time $(t)$ of a ball thrown vertically upward, and falling back. Which of the following plots is/are correct?

C only
D only
B only
A and E only
The sum of kinetic energy and potential energy of a simple pendulum bob is 0.02 joule. The speed of the simple pendulum bob at equilibrium position is approximately:
(Consider mass of the bob $=20 \mathrm{~g}$ )
$0.2 \mathrm{~m} / \mathrm{s}$
$1.41 \mathrm{~m} / \mathrm{s}$
$14.1 \mathrm{~m} / \mathrm{s}$
$2.0 \mathrm{~m} / \mathrm{s}$
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