The velocity and acceleration vectors of a particle undergoing circular motion are \( \vec{v} = 2i + 4j \, \text{m/s} \) and \( \vec{a} = 2i + 4j \, \text{m/s}^2 \) respectively at an instant of time. The radius of the circle is a
A bob is hanging over a pulley inside a car moving with constant acceleration \( a \) directed horizontally as shown. The second end of the string is in the hand of a person standing in the car. The car is moving with constant acceleration \( a \) horizontally as shown in figure. Other end of the string is pulled with constant acceleration \( a \) vertically. The tension in the string is equal to â
A block of mass \( m \) is placed on a smooth inclined wedge ABC of inclination \( \theta \) as shown in the figure. The wedge is given an acceleration \( a \) towards the right. The relation between \( a \) and \( g \) for the block to remain stationary on the wedge is
Two parallel conductors carry current in opposite directions as shown in figure. One conductor carries a current of 10.0 A. Point C is a distance \( \frac{d}{2} \) to the right of the 10.0 A current. If \( d = 18 \, \text{cm} \) and \( I \) is adjusted so that the magnetic field at C is zero, the value of the current \( I \) is
A 3.628 kg freight car moving along a horizontal rail road spur track at 7.2 km/hour strikes a bumper whose coil springs experiences a maximum compression of 30 cm in stopping the car. The elastic potential energy of the springs at the instant when they are compressed 15 cm is â
If the equation of transverse wave is \( y = x_0 \cos \left( 2\pi \left( nt - \frac{x}{\lambda} \right) \right) \), the maximum velocity of the particle is twice the wave velocity, if \( k \) is â
Three equal charges (\( q \)) are placed at corners of an equilateral triangle of side \( a \). The force on any charge is â
The given lens is broken into four parts and rearranged as shown. If the initial focal length is \( f \), then after rearrangement the equivalent focal length is â
In Young's double-slit experiment, the 10th-order maximum is obtained at the point of observation in the interference pattern for \( \lambda = 7000 \, \text{Ã} \). If the source is replaced by another one of wavelength 5000 Å, then the order of maximum at the same point will be â
Transfer characteristics (output voltage \( V_o \) vs input voltage \( V_i \)) for a base biased transistor in CE configuration is as shown in the figure. For using transistor as a switch, it is used
Which of the following is not the product of dehydration of \( \text{OH} \)?
What will be the correct structural formula of the product for the following reaction?
Find the missing number from the given response.
Which of the following correctly represents the relationship among illiterates, poor people, and unemployed?
Which one of the following figures completes the original figure?
How many squares are there in the following figure?
