List of practice Questions

A solid sphere of mass 1 kg and radius 25 cm is at rest at the top of an inclined plane of height 175 cm and angle of inclination 30°. If the sphere rolls down without slipping, the maximum velocity of the sphere when it reaches the bottom of the inclined plane is (Acceleration due to gravity = 10 m/s²)
The equation of motion of a particle executing simple harmonic motion is given by $ x = 0.6 \sin (3t + 0.8 \cos 5t) $, where $ x $ is in meters and $ t $ is in seconds. The maximum acceleration of the particle in m/s² is
Two simple pendulums of lengths 1 m and 2 m are in phase at the mean position at a certain instant of time. The pendulums will be again in phase at a time of $ \frac{3T}{2} $, where $ T $ is the time period of the shorter pendulum. Then $ x = $?
Two objects separated by a distance r gravitationally attract each other with force F. If the distance between them is tripled, the force of attraction between them is
The Biological value and Protein Efficiency Ratio (PER) of eggs are
The existence of neutrino emitted in the β-decay along with electron was predicted by
From an elevated point 'A', a stone is projected vertically upwards. The velocity of the stone when it reaches a distance 'h' below 'A' is double its velocity when it was at a height 'h' above 'A'. The greatest height attained by the stone above 'A' is
For two vectors $ \mathbf{A} $ and $ \mathbf{B} $, if $ \mathbf{A} + \mathbf{B} = |\mathbf{A} - \mathbf{B}| $, then
A body of mass 90 g is connected to a string of 100 cm length and whirled in a horizontal circle. If the string can withstand a tension of 2.25 N, then permissible maximum velocity of the body is
A body is projected from the ground with a speed 10 m/s at angle 30° with the horizontal. The height of the body after 5 seconds of its projection is (Acceleration due to gravity = 10 m/s²)
A motor cycle of mass 100 kg is moving with a velocity of 15 m/s on a circular path having radius of curvature 20 m. Then the centrifugal force acting on it is (Acceleration due to gravity = 10 m/s²)
The expression that gives the number of genotypes for multiple alleles is
The majority of the Rh antibodies produced by the mother in Erythroblastosis foetalis are
Pattern Baldness in humans is an example of
The organs which have dissimilar structure and origin but perform the same function are called
The early bacteria synthesized chlorophyll from
The inactivated whole agent vaccine used in the prevention of
Fight or flight responses are due to
Temporary endocrine gland in the human body is
Identify the incorrect statement among the following
The condition of the testis not descending into scrotum is called
Assertion (A): The placenta is connected to the embryo through an umbilical cord.
Reason (R): Somatomammotropin released from placenta has anti-insulin effect on mother.
Assertion (A): The egestion of faeces to outside through anus is a voluntary process.
Reason (R): The undigested wastes in rectum initiates neural reflex causing an urge for its removal.
Assertion (A): Dengue fever is caused due to failure of clot reaction.
Reason (R): The patient of dengue may require transfusion of blood platelets.
Identify the non fibrous joints