Physics - Online Test

When swithch S is off, both resistances are included in the circuit.

TotalResistance,R1=5+5=10Ω∴I1=

Given , T= π5s

amplitude, x= 0.5 m

mass , m = 10g=0.01kg ,as we know that:

 T=2πmk−−√π5=2π0.01k−−−√or k=1 N/m

The maximum force is obtained at the maximum displacement i.e . amplitude 

F=−k xF=−1(0.5)=−0.5N

The negative value of force shows the attractive nature.

The acceleration due to gravity due to a body at point P on the surface of earth is

g=GMR2    -(1)

Let the body is placed to point Q at a height h abovr the surface of earth, then acceleration due to gravity:

gh=GM(R+h)2  -(ii)

Dividing (i) & (ii), we get

ghg=R2(R+h)2$\frac{g_h}{}$

By simplifying and expanding through binomial theorem, we get

gh=g(1−2hR)

From above expression we can clearly say that with increase in altitiude h , the value of acceleration due to gravity decreases.

the slope of the x-t grpah will give you velocity. So, if u=0, the slope of graph at t=0 is 0.

for u>0 case, the initial slope is +ve and for negative u, the initial slope is negative now, s = ut + 0.5at2, where acceleration=a let initial position is x​​​​​​o,

x=x​​​​​​xo+ut+0.5at2 ,

Hence you will get parabolic shapes.