Advertisements
Advertisements
प्रश्न
Read the statement below carefully and state with reason, if it is true or false:
The total path length is always equal to the magnitude of the displacement vector of a particle.
विकल्प
True
False
उत्तर
This statement is False.
Explanation:
For instance, if a person completes one round along the circumference of a circle with radius R, then the length of the path covered will be 2πR, whereas the magnitude of the displacement will be zero.
APPEARS IN
संबंधित प्रश्न
Pick out the only vector quantity in the following list:
Read the statement below carefully and state with reason, if it is true or false:
The magnitude of a vector is always a scalar.
Read the statement below carefully and state with reason, if it is true or false:
Three vectors not lying in a plane can never add up to give a null vector.
A vector has magnitude and direction. Does it have a location in space? Can it vary with time? Will two equal vectors a and b at different locations in space necessarily have identical physical effects? Give examples in support of your answer.
Can you associate vectors with (a) the length of a wire bent into a loop, (b) a plane area, (c) a sphere? Explain.
Read statement below carefully and state, with reasons and examples, if it is true or false:
A scalar quantity is one that has the same value for observers with different orientations of axes
Consider the quantities, pressure, power, energy, impulse, gravitational potential, electrical charge, temperature, area. Out of these, the only vector quantities are ______.
Following are four differrent relations about displacement, velocity and acceleration for the motion of a particle in general. Choose the incorrect one (s):
- `v_(av) = 1/2 [v(t_1) + v(t_2)]`
- `v_(av) = (r(t_2) - r(t_1))/(t_2 - t_1)`
- `r = 1/2 (v(t_2) - v(t_1))(t_2 - t_1)`
- `a_(av) = (v(t_2) - v(t_1))/(t_2 - t_1)`
A hill is 500 m high. Supplies are to be sent across the hill using a canon that can hurl packets at a speed of 125 m/s over the hill. The canon is located at a distance of 800 m from the foot of hill and can be moved on the ground at a speed of 2 m/s; so that its distance from the hill can be adjusted. What is the shortest time in which a packet can reach on the ground across the hill? Take g = 10 m/s2.
A force `vec"F"=(hat"i"+2hat"j"+3hat"k")`N acts at a point `(4hat"i"+3hat"j"-hat"k")`m. Then the magnitude of torque about the point `(hat"i" + 2hat"j" + hat"k")` m will be `sqrtx` N-m. The value of x is ______.
