Nine particles have speeds of 5.00, 8.00, 12.0, 12.0, 12.0, 14.0, 14.0, 17.0, and 20.0 m/s. What is the rms speed?
no. of molecule per unit volume
mean free path
for any temperature scale
The photograph of a house occupies an area of 1.75 on a 35 mm slide. The slide is projected on to a screen, and the area of the house on the screen is 1.55 . What is the linear magnification of the projector-screen arrangement?
Area of the house on the slide = 1.75 cm2
Area of the image of the house formed on the screen = 1.55 m2 = 1.55 × 104 cm2
Arial magnification am =
=
Linear magnification =
= 94.1
Let the distance traveled by the bus when man catch the bus be S meter distance traveled by the man when he catch the bus S'=S+48 meter
Given :
Initial velocity of bus u=0
Initial velocity of man u'=10m/sec Acceleration of Bus=1 m/s2
Accelerationof Man=0
We will use formula for displacement
By substituting the values in above equation we get,
Displacement of Bus
Displacement of Man
By substituting the value of S from eq(1) in eq(2)we get
=> t = 8, 12
Taking minimum value t = 8 sec
A particle starts from the origin at t = 0 s with a velocity of 10.0 m/s and moves in the x-y plane with a constant acceleration of ( 8.0+ 2.0) m . At what time is the x- coordinate of the particle 16 m? What is the y-coordinate of the particle at that time?
u = uxi + uyj = 10j,
ux = 0 and uy = 10 m/s
a = axi + ayj = 8i + 2j,
ax = 8 and ay = 2 m/s2
x = uxt +axt2
=> 16 =
t = 2 sec
y = uyt + = 10x2 + = 24 m