A ball falling freely from a height of 4.9 m/s hits a horizontal surface. If e = ¾, then the ball will hit the surface second time after:
0.5 s
1.5 s
3.5 s
3.4 s
The distance between the sun and the earth be r then the angular momentum of the earth around the sun is proportional to :
r
none of these
Hailstone at 0°C falls from a height of 1 km on an insulating surface converting the whole of its kinetic energy into heat. What part of it will melt? (g = 10 m/s2)
1/33
1/8
All of it will melt
If an error in measurement of radius of a sphere is 1%, what will be the error in the measurement of volume?
1 %
1.3 %
3 %
10 %
The length of the second's pendulum is 1 m on earth. If the mass and diameter of a planet are doubled than that of earth. Then its length becomes
1 m
2 m
0.5 m
4 m
A coin is dropped in a lift. It takes time t1 to reach the floor when the lift is stationary. It takes times t2 when the lift is moving up with constant acceleration. Then:
t1 > t2
t2 > t1
t1 = t2
t1 >> t2
Calculate the amount of heat (in calories) required to convert 5g of ice at 0°C to steam at 100°C
3100
3200
3600
4200
C.
3600
Total required heat (Q)
= heat required to convert ice into the water at 0°C; (Q1) + heat required to increase the temperature of the water up to 100°C; (Q2) + heat required to convert water into steam at 100°C (Q3)
Q1 = mL
= 5 × 80 = 400 cal
Q2 = ms Δt
= 5 × 1 × (100 - 0) = 500 cal
Q3 = mL = 5 × 540 = 2700 cal
Thus, Q = 400 + 500 + 2700
= 3600 cal
A transverse wave is expressed as y = y0 sin2πfy. For what value of λ, maximum particle velocity is equal to 4 times the wave velocity?
50 tuning forks are arranged in increasing order of their frequencies such that each gives 4 beats/s with its previous tuning fork. If the frequency of the last fork is octave of the first, then the frequency of the first tuning fork is:
200 Hz
204 Hz
196 Hz
none of these
The graph between velocity and displacement of a particle, executing SHM is:
a straight line
a parabola
a hyperbola
an ellipse