The velocity 'v' of a particle at time 't' is given by 'v' = where 'a', 'b' and 'c' are constants. The dimensions of 'a', 'b' and 'c' are
A particle moves for 20 seconds with velocity 3 m/s, then moves with velocity 4 m/s for another 20 seconds, and finally moves with velocity 5 m/s for the next 20 seconds. What is the average velocity of the particle?
A block of ice of mass 10 kg slides down an inclined 5 m long and 3 m high. A man pushes up on the ice block parallel to the incline so that it slides down at a constant speed. The coefficient of friction between the ice and the incline is 0.1. Find the work done by the man on the block. (g = 10 m/s2)
Two blocks of masses 1 kg and 2 kg are connected by a metal wire going over a smooth pulley as shown. The breaking stress of the metal is If g = 10 ms-2, what should be the minimum radius of the wire used if it is not to break?
A drum of radius R full of liquid of density d is rotated at ω rad/s. The increase in pressure at the centre of the drum will be:
A car moving with a speed of 50 km/h can be stopped by brakes after at least 6 m. If the same car is moving at a speed of 100 km/h, the minimum stopping distance is
When three identical bulbs of 60 W, 200 V rating are connected in series to a 200 V supply, the power drawn by them will be
A spring of force constant k is cut into two pieces such that one piece is double the length of the other. The force constant of the longer piece will be
The ratio of the velocity of sound in hydrogen (γ = 7/5) to that in helium (γ = 5/3) at the same temperature is
The magnetic field at a distance r from a long wire carrying current i is 0.4 T. The magnetic field at a distance 2r is
Mobility of free electron in a current carrying conductor is proportional to
A potential difference of 10 V is applied across a conductor of length 5 cm. If drift velocity of electron is 2 x 104 m/s, then electron mobility in (m2V-1s-1) will be
A galvanometer of resistance 50 Ω gives full scale deflection at 3 mA current. What should be value of shunt so that it can measure a current of 28 mA?
A charged particle moves through a magnetic field perpendicular to its direction, then
Match List-I with List-II:
Choose the correct answer from the options given below:
Statement I: (Newton's 1st Law of Motion) Every body continues in its state of rest or of uniform motion in a straight line except in so far as it be compelled by an externally impressed force to act otherwise.
Statement II: It is observed that when a car brakes suddenly, the passengers are thrown forward.
The hybridisation and the geometry of ICl3 in liquid phase are ____ and _____, respectively.
The resistance of 0.01 N solution of an electrolyte was found to be 210 ohm at 298 K, using a conductivity cell of cell constant 0.66 cm−1. The equivalent conductance of the solution is
Match the following types of vegetations with their forest zones and select the correct option.
A lake with an inflow of domestic sewage rich in organic waste may result in
An E. coli having a heavy DNA molecule labelled with 15N is allowed to grow in a medium with normal 14NH4CI. Which of the following is correct for DNA molecules that were extracted from the culture after 40 minutes?
Directions: In the following questions a statement of Assertion (A) is followed by a statement of reason (R). Mark the correct choice as :
Assertion: Protozoans have physiological division of labour.
Reason: They have a well-developed cell, tissue and tissue organ system.
Which of the following statements does not characterise an ecosystem?
The chronological order of human evolution from first human – like being the hominid is possibly
Which of the following can be introduced by bacterial vaccines?
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