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questions
List of practice Questions
About
$6\%$
of the power of a
$100\, W$
light bulb is converted to visible radiation. The average intensity of visible radiation at a distance of
$8\, m$
is (Assume that the radiation is emitted isotropically and neglect reflection.
Physics
Electromagnetic waves
Absence of circulatory system in Hydra is compensated by
Biology
Kingdom Animalia
A120 V, 60Hz a.c. power is connected
$800\Omega$
non-inductive resistance and unknown capcitance in series. The voltage drop across the resistance is found to be 102V, then voltage drop across eapacitor is
Physics
Alternating current
ABC is a triangle and AD is the median. If the coordinates of A are ( 4, 7, - 8)and the coordinates of centroid of the triangle ABC are (1, 1, 1), what are the coordinates of D?
Mathematics
introduction to three dimensional geometry
ABCD is a convex quadrilateral. 3, 4, 5 and 6 points are marked on the sides AB, BC, CD and DA respectively . The number of triangles with vertices on different sides is
Mathematics
permutations and combinations
A wire of length
$L$
, radius
$r$
when stretched with a force
$F$
changes in length by
$l$
. What will be the change in the length of a wire of same material having length
$2L$
, radius
$2r$
and stretched by a force
$2F$
?
Physics
mechanical properties of solids
A wire of resistance R is elongated n-fold to make a new uniform wire. The resistance of new wire
Physics
Electromagnetic induction
A x molal solution of compound in benzene has a mole fraction of solute equal to 0.2. The value of x is
Chemistry
Surface Chemistry
A wire is stretched between two rigid supports vibrates in its fundamental mode with a frequency of
$50 \,Hz$
. The mass of the wire is
$30 \,g$
and its linear density is
$4 \times 10^{-2}\, kg \,m s^{-1}$
. The speed of the transverse wave at the string is
Physics
Waves
A wire is stretched to double its length. The strain is :
Physics
mechanical properties of solids
A wire of length
$36 \,m$
is to be cut into two pieces. One of the pieces is to be made into a square and the other into a circle. What should be the lengths of the two pieces, so that the combined area of the square and the circle is minimum?
Mathematics
Application of derivatives
A wire of length
$L$
has a linear mass density
$\mu$
area of cross-section
$A$
and Young?? modulus Y. It is suspended vertically from a rigid support. The extension produced in the wire due to its own weight is
Physics
mechanical properties of solids
A wheel with
$20$
metallic spokes each of length
$0.8 \,m $
long is rotated with a speed of
$120$
revolution per minute in a plane normal to the horizontal component of earth magnetic field
$H$
at a place. If
$H = 0.4 \times 10^{-4}\, T$
at the place, then induced emf between the axle and the rim of the wheel is
Physics
Electromagnetic induction
A white precipitate is obtained by the hydrolysis of
Chemistry
p -Block Elements
A Williamson's synthesis of ethers is an example of
Chemistry
Alcohols, Phenols and Ethers
A wire has a mass
$(0.3 \pm 0.003)\, g$
, radius
$(0.5 \pm 0.005)\,cm$
and length
$(6 \pm 0.06) \,cm$
. The maximum percentage error in the measurement of its density is
Physics
Units and measurement
A well stoppered thermos flask contains some icecubes. This is an example of
Chemistry
Thermodynamics
A wheel completes
$2000$
revolutions to cover the
$9.5\,km$
distance, then the diameter of the wheel is
Physics
Motion in a straight line
A water tank standing on the floor has two small holes vertically one above the other punched on one side. The holes are
$h_1$
cm and
$h_2$
cm above the floor. How high does water stand in the tank when the jets from the holes hit the floor at the same point ?
Physics
mechanical properties of fluid
A weather balloon filled with hydrogen at 1 atm and 27
$^\circ$
C has volume equal to 1200 litres. On ascending, it reaches a place where temperature is -23
$^\circ$
C and pressure is 0.5 atm. The volume of the balloon is
Chemistry
States of matter
A weight
$w$
is suspended from, the mid-point of a rope, whose ends are at the same level. In order to make the rope perfectly horizontal, the force applied to each of its ends must be
Physics
laws of motion
Which of the following contribute towards photochemical smog formation?
Chemistry
Environmental Chemistry
Saline soil contains
Chemistry
Environmental Chemistry
Most hazardous metal pollutant of automobile exhausts is
Chemistry
Environmental Chemistry
Taj may be destroyed by
Chemistry
Environmental Chemistry
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