WorksheetsUnit Test class - 11
Total questions: 20
Worksheet time: 22mins
The acceleration of a particle starting from rest varies with time t according to the equation: a = kt + c where k and c are constants. At time t, the velocity of the particle is
kt + ct
½(kt2) + ct
½(kt2) + 1/2(ct2)
kt2 + ct
If a particle travels a linear distance at speed V1 and comes back along the same track at speed V2:
Its average speed is arithmetic mean (V1 + V2)/2
Its average speed is V1V2
Its average speed is V1 + V22V1V2
None of these
The displacement s of a point moving in a straight line is given by, S = 8t2 + 3t – 5, ‘S’ being in cm and 't' in s. The acceleration of the particle is:
5ms−2
2ms−2
3ms−2
8ms−2
Find the incorrect statement out of the following:
If acceleration = 0, motion is uniform
If acceleration = constant, acceleration is uniform but motion not uniform
If acceleration = constant, both acceleration and motion are not uniform
Acceleration = constant both acceleration and motion are uniform
The velocity of a body depends on time according to the equation V = 20 + 0.1t2. The body is undergoing:
Uniform acceleration
Uniform retardation
Non–uniform acceleration
Zero acceleration
A body starting from rest covers a distance of 9 m in the fifth second. The acceleration of the body is:
2 m/s2
0.2 m/s2
1.8 m/s2
4 m/s2
Fermi is the unit of ....
Electric flux
Time
Mass
Lenght
If the dimensions of a physical quantity are given by [ MaLbTc ], then the physical quantity will be
Force, if a = -1, b = 0, c = -2
Velocity, if a = 1, b = 0, c = 1
acceleration, if a = 1, b = 1, c = -2
pressure, if a = 1, b = -1, c = -2
The length, breadth and height of a rectangular block of The pressure on a square plate is measured by
measuring the force on the plate and the length
of the sides of the plate. If the maximum error
in the measurement of force and length are
respectively 4% and 2%, The maximum error
in the measurement of pressure is
1%
2%
6%
8%
Which of the following set have different dimensions?
Pressure, Young’s modulus, stress
e.m.f, potential difference, electric potential
Heat, work done, energy
dipole moment, electric flux, electric field
A body is projected at an angle θ such that height is equal to range. The value θ is
sin−14
cos−14
tan−14
tan−12
What angle of projection would result in a ball traveling the maximum horizontal distance? (Neglect air resistance)
900
450
250
350
A projectile is fired a velocity of 150 meters per second at an angle of 30 degrees with the horizontal. What is the magnitude of the velocity at the maximum height of the projectile ?
41503 m/s
75 m/s
21503
1503
A rigid ball of mass m strikes a rigid wall at 60° and gets reflected without loss of speed as shown in the figure. The change in speed of the ball will be
Zero
2Vsinθ
2Vcosθ
2Vtanθ
An object drops freely from a moving car is an example for-
Circular motion
Straight line
Projectile Motion
None of the above
A body is projected horizontally from the top of a cliff with a velocity of 9.8 m/s. What time elapses before horizontal and vertical velocities become equal? Take g = 9.8 ms−2
9.8 s
10 s
1 s
None of the above
Find the magnitude of the centripetal acceleration of a particle on the tip of a fan blade, 0.30 metre in diameter, rotation at 1200 rev/minute,
40 ms−2
245 ms−2
20 ms−2
4737.6 ms−2
What is the minimum number of coplanar vectors of different magnitudes which can give zero resultant?
One
Two
Three
Four
M0L0T−1 is the dimension of-
Angular displacement
Angular velocity
Time period
Frequency
For circular motion , what is the angle between velocity and acceleration vectors?
0°
180°
Between 0° and 180°
90°
