Which one of the following scholars coined the term ‘Geography’?
(a) Herodotus
(c) Galileo
(b) Erathosthenese
(d) Aristotle
In which orientation, a dipole placed in a uniform electric field is in (i) stable (ii) unstable equilibrium ?
To what extent do the electronic configurations decide the stability of
oxidation states in the first series of the transition elements? Illustrate
your answer with examples.
An insect trapped in a
circular groove of radius 12 cm moves along
the groove steadily and completes 7
revolutions in 100 s. (a) What is the
angular speed, and the linear speed of the
motion? (b) Is the acceleration vector a
constant vector ? What is its magnitude ?
A cricket ball is thrown at a
speed of 28 m s–1 in a direction 30° above
the horizontal. Calculate (a) the maximum
height, (b) the time taken by the ball to
return to the same level, and (c) the
distance from the thrower to the point
where the ball returns to the same level.
A hiker stands on the edge
of a cliff 490 m above the ground and
throws a stone horizontally with an initial
speed of 15 m s-1. Neglecting air resistance,
find the time taken by the stone to reach
the ground, and the speed with which it
hits the ground. (Take g = 9.8 m s-2 ).
Galileo, in his book Two new
sciences, stated that “for elevations which
exceed or fall short of 45° by equal amounts,
the ranges are equal”. Prove this statement.
A particle starts from origin
at t = 0 with a velocity 5.0 î m/s and moves
in x-y plane under action of a force which
produces a constant acceleration of
(3.0i
ɵ+2.0j
ɵ
) m/s 2
. (a) What is the
y-coordinate of the particle at the instant
its x-coordinate is 84 m ? (b) What is the
speed of the particle at this time ?