An electron moving with a velocity of $5 \times 10^{4}\, ms ^{-1}$ enters into a uniform electric field and acquires a uniform acceleration of $10^{4}\, ms ^{-2}$ in the direction of its initial motion.
$(i)$ Calculate the time in which the electron would acquire a velocity double of its initial velocity.
$(ii)$ How much distance the electron would cover in this time ?
An electron moving with a velocity of $5 \times 10^{4}\, ms ^{-1}$ enters into a uniform electric field and acquires a uniform acceleration of $10^{4}\, ms ^{-2}$ in the direction of its initial motion.
$(i)$ Calculate the time in which the electron would acquire a velocity double of its initial velocity.
$(ii)$ How much distance the electron would cover in this time ?
- A
$20 \,s$ and $7.5 \times 10^{4}\, m$
- B
$5 \,s$ and $37.5 \times 10^{4}\, m$
- C
$0.5 \,s$ and $75.3 \times 10^{4}\, m$
- D
$15 \,s$ and $35.7 \times 10^{4}\, m$
Similar Questions
The velocity$-$time graph of a car is given below. The car weighs $1000\, kg$.
$(i)$ What is the distance travelled by the car in the first $2$ seconds ?
$(ii)$ What is the braking force at the end of $5$ seconds to bring the car to a stop within one second ?
The velocity$-$time graph of a car is given below. The car weighs $1000\, kg$.
$(i)$ What is the distance travelled by the car in the first $2$ seconds ?
$(ii)$ What is the braking force at the end of $5$ seconds to bring the car to a stop within one second ?
$(a)$ When will you say a body is in
$(i)$ uniform motion $(ii)$ non$-$uniform motion ?
$(b)$ Show the path of an object when it is in uniform motion with the help of a graph.
$(a)$ When will you say a body is in
$(i)$ uniform motion $(ii)$ non$-$uniform motion ?
$(b)$ Show the path of an object when it is in uniform motion with the help of a graph.
$(a)$ Differentiate acceleration from velocity.
$(b)$ Can a body have acceleration without change in magnitude of velocity ? Explain with an example.
$(c)$ A motor boat starting from rest on a lake accelerates in a straight line at a constant rate of $3\, m s ^{-2}$ for $8 \,s$. How far does the boat travel during this time ?
$(a)$ Differentiate acceleration from velocity.
$(b)$ Can a body have acceleration without change in magnitude of velocity ? Explain with an example.
$(c)$ A motor boat starting from rest on a lake accelerates in a straight line at a constant rate of $3\, m s ^{-2}$ for $8 \,s$. How far does the boat travel during this time ?
The following table shows the positive of Renu, while she is going to her school. Draw distance$-$time graph for her motion.
Time
Distance from her home $( k m )$
$06: 45\, am$
$0$
$07: 00 \,am$
$8$
$01: 30\, pm$
$8$
$01: 45\, pm$
$0$
The following table shows the positive of Renu, while she is going to her school. Draw distance$-$time graph for her motion.
| Time | Distance from her home $( k m )$ |
| $06: 45\, am$ | $0$ |
| $07: 00 \,am$ | $8$ |
| $01: 30\, pm$ | $8$ |
| $01: 45\, pm$ | $0$ |
An object is dropped from rest at a height of $150\, m$ and simultaneously another object is dropped from rest at a height $100 \,m$. What is the difference in their heights after $2\,\sec $ if both the objects drop with same accelerations ? How does the difference in heights vary with time ?
An object is dropped from rest at a height of $150\, m$ and simultaneously another object is dropped from rest at a height $100 \,m$. What is the difference in their heights after $2\,\sec $ if both the objects drop with same accelerations ? How does the difference in heights vary with time ?