AIEEE Physics Test I

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A body of mass M at rest explodes into 3 masses, two of which are of mass $\frac{M}{4}$ , each are thrown perpendicular directions with velocities 3 $ms^{-1}$ and 4 $ms^{-1}$ respectively. The third piece will be thrown with a velocity of

Answers

Correct	Answer Text
	3.0 $ms^{-1}$
	2.0 $ms^{-1}$
	-2.5 $ms^{-1}$
	1.5 $ms^{-1}$

Question

If $Q=\frac{X^n}{Y^m}$ and $\delta$ X is absolute error in the measurement of X. $\delta$ Y is absolute error in the measurement of Y, then absolute error $\delta$ Q in Q is

Answers

Correct	Answer Text
	$\delta$ $\pm$ $\Bigg($ $n\frac{\delta{X}}{X}-m\frac{\delta{Y}}{Y}$ $\Bigg)$
	$\delta$ $\pm$ $\Bigg($ $n\frac{\delta{X}}{X}+m\frac{\delta{Y}}{Y}$ $\Bigg)$
	$\delta$ $\pm$ $\Bigg($ $n\frac{\delta{X}}{Y}-m\frac{\delta{Y}}{X}$ $\Bigg)$
	$\delta$ $\pm$ $\Bigg($ $n\frac{\delta{X}}{X}+m\frac{\delta{Y}}{Y}$ $\Bigg)$

Question

If E denotes the electric field and e_0

is the permittivity of the free space, the dimensional formula of $\frac{1}{2}e_0E^2$ is

Answers

Correct	Answer Text
	$[ML^2T^{-2}]$
	$[ML^2T^{-1}]$
	$[ML^{-1}T^{-2}]$
	$[MLT^{-2}]$

Question

The rear side of a truck is open and a box of mass 20kg is placed on the truck 4m away from the open end. The truck starts from rest with an acceleration of $2 ms^{-2}$ on a straight rod. If co-efficient of friction b/w box and truck is 0.15 and $g=10ms^{-2}$ , the box will fall off the truck when it is at a distance from the starting point equal to

Answers

Correct	Answer Text
	16 m
	4 m
	32 m
	8 m

Question

A stone of mass 1 kg tied to a light inextensible string of length $\frac{10}{3}m$ is whirling in a circular path of radius $\frac{10}{3}m$ in a vertical plane. If the ratio of the maximum tension in the string to the minimum tension is 4 and if g is taken to be $10 ms^{-2}$ , then the speed of the stone at the highest point of the circle is

Answers

Correct	Answer Text
	10 $ms^{-1}$
	10 $\sqrt{3} ms^{-1}$
	20 $ms^{-1}$
	5 $\sqrt{2} ms^{-1}$

Question

The ratio of the K.E. required to be give to the satellite to escape earth's gravitational field to the K.E. required to be given so that the satellite moves in a circular orbit just above the earth's atmosphere is

Answers

Correct	Answer Text
	two
	one
	half
	infinity

Question

A body is moved along a straight line by a machine delivering constant power. The distance moved by the body in time t is proportional to

Answers

Correct	Answer Text
	$t^{\frac{1}{2}}$

	$t^{\frac{3}{4}}$
	$t^{\frac{3}{2}}$

Question

The two planets are having radii r_1

and

and densities d_1

and

respectively. The ratio of the accelerations due to gravity on them will be

Answers

Correct	Answer Text
	:
	:
	:
	:

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