Chapter Test: Basic Mathematics for Physics - 1 JEE Free MCQs

There are two force vectors, one of 5 N and other of 12 N at what angle the two vectors be added to get resultant vector of 17 N, 7 N and 13 N respectively-

The maximum and the minimum magnitudes of the resultant of two given vectors are 17 unit and 7 unit respectively. If these two vectors are at right angles to each other, the magnitude of their resultant is -

An equation of straight line ay = bx + c is given, Where a, b and c are constants. The slope of the given straight line is -

The minimum value of y = 2x² – x + 1 is -

An aeroplane is moving in a circular path with a speed 250 km/hr. What is the change in velocity in half revolution ?

The resultant of two forces, one double the other in magnitude, is perpendicular to the smaller of the two forces. The angle between the two forces is -

A vector of magnitude a is rotated through an angle θ. What is the magnitude of the change in the vector?

A man crosses the river perpendicular to river flow in time t seconds and travels an equal distance down the stream in T seconds. The ratio of man's speed in still water to the speed of river water will be :

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Two motor vehicles run at constant speeds 5 m/s each along highways intersecting at an angle 60º. In what time after they meet at the intersection will the distance between the vehicles be 10 √3 m.

A 2 m wide truck is moving with a uniform speed v0 = 8 m/s along a straight horizontal road. A pedestrian starts to cross the road with a uniform speed v when the truck is 4 m away from him. The minimum value of v so that he can cross the road safely is -

In the above question if width of the river is 500 m, then length of shortest path is -

Two forces of magnitude 7 newton and 5 newton act on a particle at an angle θ to each other. θ can have any possible value the minimum magnitude of the resulatant force is -

A force of 6 kgf and another of 8 kgf can be applied to produce the effect of a single force equal to –

If the sum of two unit vectors is also a unit vector, then the magnitude of their difference is -

If N = m! Where m is any fixed positive integer greater than 2 then 

If log₁₀ 2 = 0.3010 and log₁₀ 3 = 0.4771. Find the value of log₁₀ 4.5 ?