Download App

2. motion in straight line — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics2. motion in straight line1 Mark
MCQ
A body is moving from rest under constant acceleration and let ${S_1}$ be the displacement in the first $(p - 1)$ sec and ${S_2}$ be the displacement in the first $p\,\sec .$ The displacement in ${({p^2} - p + 1)^{th}}$ sec. will be
  • ✓
    ${S_1} + {S_2}$
  • B
    ${S_1}{S_2}$
  • C
    ${S_1} - {S_2}$
  • D
    ${S_1}/{S_2}$
✓

Answer

Correct option: A.
${S_1} + {S_2}$
a
(a) From $S = ut + \frac{1}{2}a\;{t^2}$

${S_1} = \frac{1}{2}a{(P - 1)^2}$ and ${S_2} = \frac{1}{2}a\;{P^2}$       $[As\;u = 0$]

From ${S_n} = u + \frac{a}{2}(2n - 1)$

${S_{{{({P^2} - P + 1)}^{th}}}} = \frac{a}{2}\left[ {2({P^2} - P + 1) - 1} \right]$

$ = \frac{a}{2}\left[ {2{P^2} - 2P + 1} \right]$

It is clear that ${S_{{{({P^2} - P + 1)}^{th}}}} = {S_1} + {S_2}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from 2. motion in straight line→2. motion in straight line — all question types→Physics STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If the initial velocity of a projectile be doubled, keeping the angle of projection same, the maximum height reached by it will
→
The machine as shown has $2$ rods of length $1\, m$ connected by a pivot at the top. The end of one rod is connected to the floor by a stationary pivot and the end of the other rod has a roller that rolls along the floor  in a slot As the roller goes back and forth, a $2\, kg$ weight moves up and down. If the roller is moving towards right at a constant speed, the weight moves up with a
→
Two bodies performing $SHM$ have same amplitude and frequency. Their phases at a certain instant are as shown in the figure. The phase difference between them is
→
If $R$ and $H$ are the horizontal range and maximum height attained by a projectile, than its speed of projection is ..........
→
A body of mass $10\, kg$ is dropped to the ground from a height of $10\, metres$. The work done by the gravitational force is ............. $\mathrm{J}$ $(g = 9.8\,m/{\sec ^2})$
→
A body starts moving from rest with constant acceleration covers displacement $S_1$ in first $(p-1)$ seconds and $S_2$ in first $p$ seconds. The displacement $S_1+S_2$ will be made in time :
→
Two identical mass $m$ are connected to a massless string which is hung over two frictionless pulleys as shown in figure. If everything is at rest, what is the tension in the cord?
→
The volume of a gas will be double of what it is at $0°C$ (pressure remaining constant) at
→
A body throws a ball upwards with velocity $v_0 = 20\, m/s$ . The wind imparts a horizontal acceleration of $4\, m/s^2$ to the ball. The angle $\theta $ from vertical at which the ball must be thrown so that the ball returns to the boy's hand is $(g = 10\, m/s^2)$
→
The velocity-time graph of a body is shown in figure. It implies that at point $B$
→