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Give an example of a physical wuantity (i) which has neigher unit nor direction (ii) has a dircetion but bot a vector (iii) can be either a vector or a scalar.
Answer
(i) Spectfic gravity (ii) pressure or current (iii) angular displacement.
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The potential energy function for a particle executing simple harmonic motion is given by \({V}{\left({x}\right)}=\frac{{{1}}}{{{2}}}{k}{x}^{{{2}}}\), where k is the force constant of the oscillatore. For \({k}=\frac{{{1}}}{{{2}}}{N}{m}^{{-{1}}}\), show that a particle of total energy 1 joule moving under this potential must turn back when it reaches \({x}=\pm{2}{m}.\)
A and B are two identical balls. A moving with a speed of \({6}{m}/{s}\), along the positive X-axis, undergoes a collision with B initially at rest. After collision, each ball moves along directions making angles of \(\pm{30}^{{\circ}}\) with the X-axis. What are the speeds of A and B after the collision ? I s this collision perfectly eleastic ?
A collision in which there is absolutely no loss of \({K}.{E}.\) is called an elastic collision. In such a collision, the linear momentum , total energy and kinetic energy, all are conserved.The coefficient of restitution \(/\) resilience of perfectly elastic collisions is unity.
Read the above passage and answer the following questions \(:\)
(i) When two bodies of equal masses undergo perfectly elastic collision in one dimension, what happens to their velocities ?
(ii) How is this fact applied in a nuclear reactor ?
Read the above passage and answer the following questions \(:\)
(i) When two bodies of equal masses undergo perfectly elastic collision in one dimension, what happens to their velocities ?
(ii) How is this fact applied in a nuclear reactor ?
The velocity of a particle at which the kinetic energy is eqyal to its rest mass energy is
(A) \({\left(\frac{{{3}{c}}}{{{2}}}\right)}\)
(B) \({3}\frac{{{c}}}{{\sqrt{{{2}}}}}\)
(C) \(\frac{{{\left({3}{c}\right)}^{{{1}/{2}}}}}{{{2}}}\)
(D) \(\frac{{{c}\sqrt{{{3}}}}}{{{2}}}\)
(A) \({\left(\frac{{{3}{c}}}{{{2}}}\right)}\)
(B) \({3}\frac{{{c}}}{{\sqrt{{{2}}}}}\)
(C) \(\frac{{{\left({3}{c}\right)}^{{{1}/{2}}}}}{{{2}}}\)
(D) \(\frac{{{c}\sqrt{{{3}}}}}{{{2}}}\)
Why spin angular velocity of a star is greatly enhanced when it collapses under gravitational pull and becomes a neutron star ?
How many of \({g}\) of \({S}\) are required to produce \({10}\text{moles}\) and \({10}{g}\) of \({H}_{{{2}}}{S}{O}_{{{4}}}\) respectively?
The pair of compounds which cannot exist in solution is:
(A) \({N}{a}{H}{C}{O}_{{{3}}}\) and \({N}{a}{O}{H}\)
(B) \({N}{a}_{{{2}}}{S}{O}_{{{3}}}\) and \({N}{a}{H}{C}{O}_{{{3}}}\)
(C) \({N}{a}_{{{2}}}{C}{O}_{{{3}}}\) and \({N}{a}{O}{H}\)
(D) \({N}{a}{H}{C}{O}_{{{3}}}\) and \({N}{a}{C}{l}\)
(A) \({N}{a}{H}{C}{O}_{{{3}}}\) and \({N}{a}{O}{H}\)
(B) \({N}{a}_{{{2}}}{S}{O}_{{{3}}}\) and \({N}{a}{H}{C}{O}_{{{3}}}\)
(C) \({N}{a}_{{{2}}}{C}{O}_{{{3}}}\) and \({N}{a}{O}{H}\)
(D) \({N}{a}{H}{C}{O}_{{{3}}}\) and \({N}{a}{C}{l}\)
\({100}{m}{L}\) each of \({0.5}{N}{N}{a}{O}{H},{N}/{5}{H}{C}{l}\) and \({N}/{10}{H}_{{{2}}}{S}{O}_{{{4}}}\) are mixed together. The resulting solution will be:
(A) Acidic
(B) Neutral
(C) Alkaline
(D) none of these
(A) Acidic
(B) Neutral
(C) Alkaline
(D) none of these
When a metal is burnt, its weight is increased by \({24}\%\). The equivalent weight of the metal wil be:
(A) \({25}\)
(B) \({24}\)
(C) \({33.3}\)
(D) \({76}\)
(A) \({25}\)
(B) \({24}\)
(C) \({33.3}\)
(D) \({76}\)
A mixture of hydrogen and oxygen gas weighing \({0.76}{g}\) has volume 2 liter temperature \({300}{K}\) and pressure \({100}{k}{P}{a}\) Calculate masses of hydrogen and oxygen in gas mixture Assume ideal nature .
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