Question
(i) Whatement is position vector $\cos ^2 \alpha+\cos ^2 \beta+\cos ^2 \gamma=1$(ii) Explain the displacvector
✓
Answer
self
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
What amount of heat must be supplied to $2.0 \times 10^{-2} \mathrm{~kg}$ of nitrogen (at room temperature) to raise its temperature by $45^{\circ} \mathrm{C}$ at constant pressure? (Molecular mass of $\mathrm{N}_2=28 ; \mathrm{R}=8.3 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}$.)
→A projectile is projected horizontally with a velocity u. Show that its trajectory is parabolic. And obtain expressions for:
i. Time of flight
ii. Horizontal range
iii. Velocity at any instant $t$.
→i. Time of flight
ii. Horizontal range
iii. Velocity at any instant $t$.
A U-shaped wire is placed before a concave mirror having radius of curvature 20cm. Find the total length of the image.
A thin paper of thickness $0.02mm$ having a refractive index $1.45$ is pasted across one of the slits in a Young's double slit experiment. The paper transmits $\frac{4}{9}$ of the light energy falling on it.
→- Find the ratio of the maximum intensity to the minimum intensity in the fringe pattern.
- How many fringes will cross through the centre if an identical paper piece is pasted on the other slit also? The wavelength of the light used is 600nm.
In the arrangement shown in figure $y = 1.0mm. d = 0.24mm$ end $D = 1.2m$. The work function of the materiel of the emitter is $2.2eV$. Find the stopping potential V needed to stop the photocurrent.
→A particle of mass $m$ is released from point P at $x = x _0$ on the X -axis from origin O and falls vertically along the Y-axis, as shown in Fig.
i. Find the torque $t$ acting on the particle at a time $t$ when it is at point Q with respect to O .
ii. Find the angular momentum L of the particle about O at this time t .
iii. Show that $\tau=\frac{d L}{d t}$ in this example.
→i. Find the torque $t$ acting on the particle at a time $t$ when it is at point Q with respect to O .
ii. Find the angular momentum L of the particle about O at this time t .
iii. Show that $\tau=\frac{d L}{d t}$ in this example.
A new system of units is proposed in which unit of mass is $\alpha\text{kg},$ unit of length $\beta$ m and unit of time $\gamma\text{ s}.$ How much will 5J measure in this new system?
→A particle of mass m is kept on a fixed, smooth sphere of radius R at a position, where the radius through the particle makes an angle of 30° with the vertical. The particle is released from this position.
- What is the force exerted by the sphere on the particle just after the release?
- Find the distance travelled by the particle before it leaves contact with the sphere.
Which of the following symptoms is likely to afflict an astronaut in space (a) swollen feet, (b) swollen face, (c) headache, (d) orientational problem.
In the HCl molecule, the separation between the nuclei of the two atoms is about $1.27\mathring{\text{A}}\big(1\mathring{\text{A}}= 10^{-10} \text{m}\big).$ Find the approximate location of the CM of the molecule, given that a chlorine atom is about 35.5 times as massive as a hydrogen atom and nearly all the mass of an atom is concentrated in its nucleus.
→