Q62 / 90 · JEE Main 2022 (27 Jun Shift 1) · Physics

A girl standing on road holds her umbrella at 45° with the vertical to keep the rain away. If she starts running without umbrella with a speed of 152 km h-1, the rain drops hit her head vertically. The speed of rain drops with respect to the moving girl is

  • A
    30 km h-1
  • B
    252 km h-1
  • Correct answer
    C
    302 km h-1
  • D
    25 km h-1

Solution

Figure

v→rg=v→r-v→g

Figure 

From the above diagram, velocity of the raindrop wrt ground will be,

v→r=1522+1522=30 km h-1

And velocity of the raindrop wrt the moving girl will be,

v→rg=152=302 km h-1

Hence, the correct answer is option: 'C'.

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