14 If velocity, momentum and kinetic energy of a particle are represented by \( v, p \) and \( k \) respectively then, which relation is correct ? \( \begin{array}{ll}\text { (1) } p=\frac{d k}{d v} & \text { (2) } p=\frac{d k}{d t} \\ \text { (3) } p=\frac{d v}{d t} & \text { (4) } p=\left(\frac{d k}{d v}\right)\left(\frac{d k}{d t}\right) \\ \text { यदि } \nu, p \text { और } k \text { क्रमशः कण के वेग, संवेग और गतिज ऊर्जा हैं तो निम्न में से } \\ \text { कौन-सा सम्बन्ध सही है ? } \\ \begin{array}{ll}\text { (1) } p=\frac{d k}{d v} & \text { (2) } p=\frac{d k}{d t}\end{array}\end{array} \).

ORA PROVA TU Un vettore di modulo pari a \( 4,0 \mathrm{~m} \mathrm{for} \). ma un angolo di \( 30^{\circ} \) con una retta orizzontale. Calcola le componenti orizzontale e verticale del vet. tore dato. Quale angolo forma con la retta verticale?

10. Hajmi \( 50 \mathrm{~cm}^{3} \) bo lgan alyumin sharning massasi 135 g . Agar \( 1 \mathrm{cmm}^{3} \) alyuminning massasi \( 1 \mathrm{~cm}^{3} \) temiming massasidan \( 5,2 \mathrm{~g} \) kam bo'lsa, shunday hajmdagi temir sharning massasi qancha bo ladi?

2. एक ही दिशा में चल रहे दो रेल इंजन जिनका वज़न 120 kN व 100 kN हैं, टकराने के पश्चात् एक साथ आगे बढ़ते हैं । टक्कर के पश्चात् समान गति (speed) होगी \( \begin{array}{ll}\text { (1) } 3.8 \mathrm{~m} / \mathrm{s} & \text { (2) } 3.9 \mathrm{~m} / \mathrm{s} \\ \text { (3) } 4.0 \mathrm{~m} / \mathrm{s} & \text { (4) } 4.1 \mathrm{~m} / \mathrm{s}\end{array} \)

6. A particle undergoes three consecutive displacements: \( \bar{d}_{1}=(15 i+30 j+12 k) \mathrm{cm} \). \( \vec{d}_{2}=(23 i-14 j-5 k) a n \) and \( \vec{d}_{3}=(-13 i+15 j) \) an Find the magnitude of the resultant displacement.

a) Use the kinetic theory of gases to explain the pressure in the gas b) Hence discuss the effect on the pressure of the gas when the gas is heated at constant volume c) On the same axes of a p-V graph, show the change in the pressure of the gas when the gas is heated at constant volume and when the volume of the gas is reducod at constant temperature.