Physics

A car is moving in a circular horizontal track of radius 10 $m$ $$ with a constant speed of 10 $m/s$ $$ . A bob is suspended from the roof of the car by a light wire of length 1.0 $m$ $$ . The angle made by the wire with the vertical is

The ratio of tensions  $T_A:T_B$ in two strings $A$ and $B$ supporting a log of mass $M$  as shown in figure is

In case of horse pulling a cart , the force that causes the horse to move forward is the force that

If length of stretched string is increased by 50% keeping mass per unit length same, then in order to keep its frequency of vibration constant, its tension must be increases by

A car is skidding on an icy road with speed  $v$ and tyres are rotating with angular speed $\frac{v}{3R}$ , where $R$  is the radius of tyres. The distance travelled by car in one rotation of tyres is

Two balls each of mass 1kg moving in opposite directions with speed 15m/s  collides and rebounds with the same speed. The magnitude of impulse imparted to each ball due to other is

If T is the half-life of a radioactive material, then the fraction that would remain after a time   $\frac{T}{2}is$

The velocity of boat m still water is 10 ms $m{s}^{-1}$ ${}^{}$ . The river flow velocity is 5 ms $m{s}^{-1}.$ ${}^{}$

If ${}_{}$ $v_b$ ,= $$ velocity of boat with respect to river velocity, $v_b=$ ${}_{}$ actual velocity of boat (i.e. with respect to bank), $v_r=$ ${}_{}$ velocity of stream, then the value of $v_b$ ${}_{}$ is

A telescope with objective of focal length  $100cm$ and eyepiece of focal length $5cm$ is focused on a far object such that parallel rays emerge from eyepiece. If object subtends an angle of $1^0$  on objective, the angular size of image is

The correct graph between logeR and loge( - 0) during cooling of a body may be (R is the rate of cooling and 0 is surrounding temperature)